Closeness Spaces: Elementary Explorations Into Generalized Metric Spaces, and Ordered Fields Derived From Them

University of Illinois at Urbana-Champaign
Department of Mathematics

Closeness Spaces:

Elementary Explorations Into Generalized Metric Spaces, and Ordered Fields Derived From Them

Jonathan Hayward
Master’s Thesis
Advisor: John Gray
May 6, 1998


Abstract

A generalization of metric spaces is examined, in which we are able to determine which of two pairs of points is closer (or if both are equally close), but not initially know how to assign a number to a distance. After the spaces are defined in general, we look at some more specific closeness spaces, and establish the the existence of a metric, which we are able to determine, under certain broad circumstances.

After looking at the closeness spaces, more specific attention is devoted to the closenesses themselves. We begin to define arithmetic operations over closeness spaces, and (given certain restrictions on the space) then complete addition and subtraction to develop a totally ordered group in which the closenesses are embedded. We prove that it is indeed a totally ordered field, and look at some examples. Directions are suggested for future research.

[Side note when entering this dissertation two decades later: this research includes a way to rigorously define and use infinitesimals. Infinitesimals were long seen as something you wanted to have but could not rigorously define; epsilon-delta proofs in relation to derivatives in calculus represent a masterstroke of how to do an infinitesimal’s job using only standard real numbers for epsilons and deltas. Infinitesimals were spoken of as a ghost to be exorcized, and the entire point epsilon-delta proofs were a way to circumvent obvious use of infinitesimals in a mathematically rigorous way. At the time this thesis was written there appear to have been rigorous treatment of infinitesimals; however, so far as one could tell this approach to providing this kind of squeaky-clean rigorous handling of infinitesimals was new when the thesis was written.]

Introduction

Intuitively, a closeness space is like a metric space, with balls, symmetry, positive definiteness, and a triangle inequality, boundaries, an induced topology, and other familiar attributes of a metric space. However, it is a space for which we do not specifically know a metric: it is possible that we simply do not know a metric or none is given, or that no metric may exist. The latter holds in certain cases where the real numbers are too coarse of an ordered field to describe the space’s distances: such a thing is possible, for instance, when there are infinitesimal and infinite distances. A closeness space might not be thought of so much as a generalization of a metric space (at least in the sense that a metric space is a generalization of ℝn), but rather as a metric space with a generalization of real-valued distances. It is a metric space which may potentially have nonstandard real numbers (broadly defined) as its distances, rather than necessarily having real numbers under the standard model as its distances.]

In this sense, what is of interest is not only the spaces themselves, but their distances: what kind of group embeds them (we will look at a field which embeds an arithmetic closure of these distances). We will study the topological spaces, but our interest is not only in the spaces, but in the ordered groups and then fields which embed the closenesses. Throughout this thesis, the aim is both to establish certain elementary properties — laying a groundwork — and also to suggest directions for future research.

It is remarked that the approach is not to start with a field and then see for what kind of spaces it can function like a metric; the approach is rather to start with a space and see what kind of field acts as an arithmetic closure to its closenesses, given a certain construction.

Chapter 1: Notation, Definitions and Terminology

Notation 1:1:

In this document, a lowercase, indexed variable name is generally understood to be an element of the set designated by the corresponding uppercase letter, provided that the letter is ‘s’ or occurs after ‘s’ in the alphabet. For example:

s1 ∈ S

Furthermore, we associate in the same way α with indexing set J, and β with K. These indexing sets are understood to have no last element.

There will be plainly marked exceptions to this rule.

Definition 1:2:

A closeness space C is a set S, together with a function

ƒ: SSSS ↦ {‘<‘, ‘=’, ‘>’}

such that the following conditions hold:

Definition 1.2.1:

f is defined for each quadruplet of points in S.

(S is said to be a space, and its elements are referred to as its points, as elsewhere in topology. The function f is said to be a closeness.)

Intuitively, this condition and those following guarantee that ƒ is comparing the distance between the first two points, and the distance between the last two points to see which one is greater. This condition, and the next four, are simply conditions which guarantee that ƒ is well-behaved as a function on a pair of pairs of points, only depends on which pair of pairs of points is given, and defines a total ordering up to equivalence classes.

For every six points s1, s2, s3, s4, s5, and s6 (possibly non-distinct), we have the following conditions hold:

Condition 1.2.2:

ƒ(s1, s2, s3, s4) = ƒ(s2, s1, s3, s4)
ƒ(s1, s2, s3, s4) = ƒ(s3, s4, 11, s3)

ƒ is not affected by swapping the elements in one pari, or by swapping the pairs. This is the closeness space’s version of a metric space requiring symmetry.

Condition 1.2.3:

If ƒ(s1, s2, s3, s4) = ‘<‘, then ƒ(s3, s4, s1, s2) = ‘>’.
If ƒ(s1, s2, s3, s4) = ‘=’, then ƒ(s3, s4, s1, s2) = ‘=’.
If ƒ(s1, s2, s3, s4) = ‘>’, then ƒ(s3, s4, s1, s2) = ‘<‘.

Condition 1.2.4:

If ƒ(s1, s2, s3, s4) = ‘<‘ and ƒ(s3, s4, s5, s6) = ‘<‘, then ƒ(s1, s2, s5, s6) = ‘<‘.

Condition 1.2.5:

We have

ƒ(s1, s2, s1, s2) = ‘=’

Condition 1.2.6:

If s2 and s3 are distinct, then we have

ƒ(s1, s1, s2, s3) = ‘<‘

Every point is closer to itself than the distance between any pair of distinct points; this is the closeness space’s version of the positive definiteness of a metric space.

Condition 1.2.7:

We have

ƒ(s1, s1, s2, s2) = ‘=’

In other words, there is only one zero. It may be mathematically interesting to remove this restriction, but we will not investigate that possibility.

Condition 1.2.8:

If ƒ(s1, s3, s1, s2) = ‘<‘ then for every set TS containing points arbitrarily close to s3 (in a sense to be defined below), there exists t1s3, such that, for every point s4, if ƒ(s3, s4, s1, s2) = ‘<‘.

(What this is getting at, is that if you have a boundary point s2 to a ball (boundary being outside the ball as with metric spaces), then every point closer to the center than the boundary point has a neighborhood entirely contained inside the ball (closer to the center than the boundary point). This means that a ball with a boundary point has a unique radius: there cannot be a second boundary point further than the center than the first boundary point, because then the first boundary point would be inside the ball; there also cannot be a secondary point closer to the center than the first boundary point, because this axiom says that every closer point has a neighborhood.)

Condition 1.2.9:

A set TS is said to hold points arbitrarily close to point s3 (in a sense to be defined below), there exists t1s3, such that if ƒ(s2, t1, s2, s4) = ‘<‘, then ƒ(s1, s4, s1, s2) = ‘>’.

(Here, we say that if you have a boundary point s2 to a ball, then every point further from the center than the boundary point has a neighborhood disjoint from the ball. Note that these two conditions may be vacuously satisfied by finite or other discrete metric / closeness spaces, with which we are not very much concerned.)

These two stipulations together constitute the closeness space’s version of the triangle inequality in a metric space. The slight awkwardness of this definition is necessary to permit discrete metric spaces. This awkwardness will recur in other places where we are defining concepts on a very low level without using familiar tools (because we are developing a more general form of such tools), but it should pass.

Definition 1:3:

A set TS is said to contain points arbitrarily close to point s1 if the following conditions hold:

Condition 1.3.1:

T is nonempty and contains at least one point distinct from s1.

Condition 1.3.2:

For every distinct pair of points s2 and s3, there exists T1 distinct from s1 so that ƒ(s1, t1, s2, s3) = ‘<‘.

(In other words, for every closeness in the space, there is a point in T that is closer to s1.)

Additional terminology 1.4:

Term 1.4.1:

Point s1 is said to be closer to s2 than s3 is (close to s2) when ƒ(s2, t1, s2, s4) = ‘<‘.

Term 1.4.2:

Points s1 and r are said to be equidistant from s2 when ƒ(s1, s2, r, s2) = ‘=’.

Term 1.4.3:

Point s1 is said to be father from s2 than r is when ƒ(s1, s2, r, s2) = ‘>’.

Term 1.4.4:

A pair of points is referred to as a distance.

Term 1.4.5:

The pair (s1, s2) is said to be the distance from s1 to s2.

Condition 1.4.6:

If distance d1 is the pair (s1, s2) and distance d2 is the pair (s3, s4), then the following three conditions hold:

Condition 1.4.6.1:

If ƒ(s1, s2, s3, s4) = ‘<‘, then d1 is said to be less than d2, written d1 < d2.

Condition 1.4.6.2:

If ƒ(s1, s2, s3, s4) = ‘=’, then d1 is said to be equal to d2, written d1 = d2.

Condition 1.4.6.3:

If ƒ(s1, s2, s3, s4) = ‘>’, then d1 is said to be greater than d2, written d1 > d2.

Remark 1:5:

Equality induces a partition of equivalence on distance. We will abuse notation slightly by referring to a distance, its equivalence class, and elements of its equivalence class interchangeably. Context should make clear which of these is meant; if context is not sufficient to clarify, then we will be more explicit as to which of these is intended.

Definition 1.6:

A ball about point s1 is a set of points such that the following two conditions hold:

Condition 1.6.1:

Every point in the ball is closer to s1 than is every point not in the ball.

Condition 1.6.2:

There does not exist point s2 in the ball such that the following conditions hold:

Condition 1.6.2.1:

No point in the ball is further from s1 than s2 is.

Condition 1.6.2.2:

S contains points arbitrarily lose to s2, which are not contained in B.

This latter condition guarantees that B does not contain its boundary, if it does have a nonempty boundary.

As the remainder of the definition and terminology, we have:

Condition 1.6.3:

If distance d = (s1, r), r is not contained in B, and B contains points arbitrarily close to r, then ball B is said to of radius d, or to be the ball of radius d centered at p, and its boundary is said to be the circle of radius d centered at p.

(By the remarks following the triangle inequality, there is at most one equivalence class of distances which satisfy this property. Note that a ball might or might not necessarily have a radius.)

Definition 1.7:

A set T is said to have points arbitrarily close to point s1 if T contains at least one point t1s1, and for every t2s1, there exists t3 which is closer to s1 than is t2.

Definition 1.8:

The boundary of a set T is the set U of points u such that both T contains points arbitrarily close to u, and ST contain points arbitrarily close to u.

Definition of values, having different levels, 1.9:

We are using the term value to refer to mathematical objects which we will use in the construction of the field we are working on. Each value has a level; values of higher levels are determined in terms of values of lower level. The highest level of value will be an element of a field. I will define some (not all) levels of values here. If we use the term without specifying its level, it should be understood to be the last level specified, usually the highest level so far defined, if there is ambiguity. In some cases we will leave an ambiguity when what we are saying applies both to a member of an equivalence class, and its class.

Definition 1.9.1:

A level 0 value is defined to be a distance (strictly defined as a pair of points).

Definition 1.9.2:

A level 1 value is defined to be an equivalence class of level 0 values under the partition induced by equality. Level 1 values are ordered, in the same way that their members are ordered.

The remaining levels of values will be defined after I have begun to build up the the machinery necessary to explain and use them.

Definition 1.10:

A level 0 zero is defined to be a distance (s1, s1).

Definition 1.11:

A level 1 zero is defined to be the equivalence class of level 0 zeroes. Zeroes will be defined for all levels greater than or equal to level a.

Definition 1.12:

A level n value is defined to be positive if it is greater than the level n zero.

Definition 1.13:

A level n sequence is defined to be a level n sequence {∈α}α∈J, with J a totally ordered indexing set.

A level n epsilon is defined to be a level n sequence {∈α}α∈J, of positive level n values, such that the following two conditions hold:

Condition 1.13.1:

Every positive level n value v is greater than some εα.

Condition 1.13.2:

Every εα is greater than or equal to every εβ.

Condition 1.13.3:

Distance d1 is said to be within distance d2 of distance d3 if there is a set of points s1, s2, and s3 such that d1 = (s1, s2), d2 ≤ (s3), and d3 = (s1, ss3).

Chapter 2: Examples

Example 2.1:

Every metric space is a closeness space. Two distances are compared by ‘<‘.

Example 2.2:

We derive a space C from ℝ2 under the Euclidean metric as follows:

We make C a copy of ℝ2, and then we add a point o‘ to the space, and define closenesses as follows:

O‘ is as close to every non-origin point as the origin is.

O‘ and the origin are closer than any other distinct pair of points.

Theorem 2.1.1:

This closeness space cannot be described by any metric.

Proof:

We prove this by contradiction.

Assume that such a metric exists.

If a metric did induce this closeness, it would have a least nonzero distance d, the distance from the origin O to O‘.

Let the distance from O to (0, 1) be d‘.

By the Archimedean property, there exists n such that d‘ ÷ n < d.

By repeated application of the triangle inequality on segments from (0, 0) to (i ÷ n, 0) and from (i ÷ n, 0) to ((i + 1) ÷ n, 0), this means that d‘ is at most equal to n times the distance from (0, 0) to (1 ÷ n, 0).

This means that the distance from (0, 0) to (1 ÷ n, 0) is less than d, but it is positive because they are two distinct points, and d is a minimal positive distance. ⇒⇐

Q.E.D.

This space is in many ways a space very like a metric space; although it boasts unusual decoration, it has a strong amount of stricture, like a metric space, structure that might not be present in an arbitrary metric space.

Example 2.2:

Let M be a metric space with metric μ over a set E of equivalence classes partitioning a set S. Then we can define a closeness space C which has S as its space, and its closeness ƒ defined as follows:

For every four points s1, s2, s3, s4 in S:

Case 2.2.1:

If μ(s1, s2) < μ(s3, s4), then ƒ(s1, s2, s3, s4) = ‘<‘.

Case 2.2.2:

If μ(s1, s2) > μ(s3, s4), then ƒ(s1, s2, s3, s4) = ‘>’.

Case 2.2.3:

If μ(s1, s2) = μ(s3, s4), then:

Case 2.2.3.1

If s1 = s2 and s3 = s4 then ƒ(s1, s2, s3, s4) = ‘=’.

Case 2.2.3.2

If s1s2 and s3 = s4 then ƒ(s1, s2, s3, s4) = ‘>’.

Case 2.2.3.3

If s1 = s2 and s3s4 then ƒ(s1, s2, s3, s4) = ‘<‘.

Case 2.2.3.4

If s1s2 and s3s4 then ƒ(s1, s2, s3, s4) = ‘=’.

In other words, if we have a metric space over equivalence classes, we can compare distances between pairs of elements of the classes by first looking at the distance between the elements’ equivalence classes, and then doing something else to break ties — say, seeing where they are the same.

In relation to this, we have:

Definition and example 2.3:

If we have two closeness spaces C and D, with underlying sets S and T, then we can take their cross product E = CD, with underlying sets S and T, then we can take their product E = CD, with closenesses compared in the dictionary order.

Specifically, let U be the underlying set for E. We compare two distances d1 = (u1, u2) and d2 = (u3, u4), with u1 = (s1, t1) and d2 = (u2, u2), u3 = (s3, s3), and u4 = (s4, t4), as follows:

Case 2.3.1:

If (s1, s2) < (s3, s4), then (u1, u2) < (u3, u4).

Case 2.3.2:

If (s1, s2) > (s3, s4), then (u1, u2) > (u3, u4).

Case 2.3.3:

If (s1, s2) = (s3, s4), then:

Case 2.3.3.1:

If (t1, t2) > (t3, t4), then (u1, u2) > (t3, t4).

Case 2.3.3.2:

If (t1, t2) < (t3, t4), then (u1, u2) < (t3, t4).

Case 2.3.3.3:

If (t1, t2) = (t3, t4), then (u1, u2) = (t3, t4).

N.B. This cross product, in the dictionary order, will be used later.

Example 2.3.4:

Let S, T = ℝ2 under the closeness induced by the Euclidean metric. Then U = ST may be described as a Euclidean plane, where each point is itself a miniature Euclidean plane. It is a plane with infinitesimal distances, or alternately an infinitesimal Euclidean plane.

A typical ball in this space is the ball with center at the origin ((0, 0), (0, 0)) consisting of all points strictly closer to the origin than ((1, 1), (1, 1)). This divides teh large-scale plane into three regions: the interior, exterior, and boundary of the disk of radius 1, centered at the origin. The interior of the disk corresponds to miniature planes which are entirely within the ball, where every point is inside. The exterior of the disk corresponds to miniature planes which are entirely outside the ball, where no point is inside. The boundary of the disk corresponds to miniature planes where the interior of the disk of radius 1 centered at the origin (of the small one, not the large plane or metric space) is inside the ball, and its boundary and exterior are outside. The boundary of the given ball in U consists of, in the miniature planes, all circles of radius 1 centered at the origin which are themselves on the circle of radius 1 in the large plane.

Proof that this satisfies the axioms of the space:

The set of equivalence classes (under equality) of closenesses has a 1-1 order-preserving mapping to the nonnegative real number line cross itself, in the dictionary order. In other words, it is a dictionary order cross product of two totally ordered sets, and therefore totally orders. This satisfies axioms 1.2.1-1.2.7.

To satisfy 1.2.8, we let s2 be closer to s3 than is s3.

If the small planes of s2 and s3 are equidistant to the small plane of s1, then the small plane position position of s2 is closer to the small plane position of s1 than is the small plane position of s3. There is, by topology, an open disk about the small plane position of s1 and boundary the small plane position of s3; if we take such a disk in the small plane s3 is actually contained in, it has points arbitrarily close to s3, and is contained in the disk of center s1 and boundary s2.

Every set T containing points arbitrarily close to s3 intersects the aforementioned disk infinitely many times. So we take some point inside that as our t1; every point s4 closer to se than is t1 and therefore closer to s1 than is s2.

The same argument holds in the case that the small plane of s3 is closer to the small plane of s1 than is the small plane of s2, save that we simply choose any disk contained in the small plane of s3.

1.2.9 is satisfied; we simply have an open disk outside the open disk of center s1 and boundary point s2 instead of inside.

Remark 2.3.4.1

Note that in this case, a ball in the cross product was not a cross product of two balls, but the boundary of a ball in the cross product was cross product of the boundary of two balls. This leads us to:

Theorem 2.3.4.2:

Let C and D be closeness spaces with underlying sets S and T, both of which consist of more than one point. Let space E = C ×, with underlying set U = S × T. Let ball B be a ball in E which does not contain any points (s2, t2) for any point s2 and some point t2, contains all points (s3, t3) for any point t and some point t3, and is centered at point u1 = (s1, t1).

Then B is not the cross product of two balls, but the boundary of B is the cross product of the boundaries of two balls. Furthermore, if the aforementioned boundray is nonempty and contains point u4 = (s4, t4), then the boundary consists of the cross product of the circle of radius (s1, s4) of radius (t1, t4) centered at t1.

N.B. All of the hypotheses, which informally could be described as looking like clutter, are needed only to rule out degenerate exceptions. There are a number of equivalent replacements for the requirement that B contains no points at one T coordinate and all points at another.

Proof:

Proof by contradiction that B is not the cross product of two balls:

Assume that B is the cross product of two balls. B contains all of the points at one T coordinate, t3, and none at another, t2. Therefore, B contains u5 = (s5, t5 with s5s1. Every point (s1, t6) is closer to u1 than is u5, so B contains a point at T coordinate t, and also does not contain that point. ⇒⇐

We consider two cases now:

Case 2.3.4.2.1:

B has an empty boundary. In that case, the further claim is vacuously true because the ‘if’ clause is not met. In addition, the former claim is also at least vacuously true: we observe that an entire space constitutes a ball, and the boundary of the entire space is empty. Therefore we examine the more interesting

Case 2.3.4.2.2:

B has a nonempty boundary. In that case, we observe that all points on the boundary are equidistant from some point u1; if one were closer to another, we would have an exception to the triangle inequality.

I claim that if (s7, t7) and (s8, t8) are in the boundary B, then so are (s7, t8) and (s8, t7):

Assume that (s7, t7) and (ss8, t8 are in the boundary B. Then we can say the following, both for sets of points contained in B, and sets of points disjoint from B: there exists a set U7U containing points arbitrarily close to (s7, t7), and a set U8U containing points (s8, t8). U7 is a set of ordered pairs of points, which contain points of arbitrary close S coordinate to s7, and a set U8U containing points arbitrarily close to (s8, t8). U7 is a set of ordered pairs of points, which contains points of arbitrarily close S coordinate to s7, and arbitrarily close T coordinate to t7, and U8 is a set of ordered pairs of points, which contains points of arbitrarily close S coordinate to s8, and arbitrarily close T coordinate to t8. Take the cross product V of the S coordinates in U7 and the T coordinates contained in U8, and the cross product W of the S coordinates contained in U8, and the T coordinates contained in U7. As this arguments applies both to sets of points contained in B, and sets of points disjoint from B, we have (s7, t8) and (s8, t8) as desired.

This establishes the independence of the S and T coordinates of points on the boundary, so the boundary is a cross product of some pair of sets in S and T.

This establishes the independence of the S and T coordinates of points on the boundary, so the boundary is a cross product of some pair of sets in S and T.

These sets must be equidistant from s1 and t1 respectively; if they were not, then we could select two radii of different length for the ball, and violate the triangle inequality. So they are subsets of the boundaries of balls; they must be the whole boundary because the cross product of two accumulation points of different sets is an accumulation point of the cross product of the two sets, as we argued above. And this establishes that the radius of the boundary must be the distance from the center to the cross product of two respective boundary points. So we have the boundary of B, for u4 = (s1, s4) a point on the boundary, equal to the crosss product of the circles of radius (s1, s4) and (t1, t4) centered at s1 and t1 respectively, as desired.

Q.E.D.

Example 2.4:

Any subset of a closeness space is a closeness space.

Remark 2.5:

The operations of taking a cross product of two closeness spaces in the dictionary order, and taking a subset of a closeness space, are together quite powerful. All other examples here are special cases of the operations taking a cross product of two closeness spaces in the dictionary order, and taking the subset of a closeness space.

Example 2.5.1:

The disjoint union of two closeness spaces C and D, in other words a union where C and D retain their closeness functions, and every function in one space is closer than every function in another space, is achievable by taking ℝ × C, paring it down until we have only a copy of (0, 1) where 0 is identified with a copy of C, and then taking the cross product of the result in D, and again paring it down until we only have a copy of (0, 1)where 0 is identified with a copy of C for which each element is identified with a single element, and 1 is identified with a copy of D.

If we allow not only finite but transfinite sequences of these two operations (which must be well-ordered, in order to be well-defined), then possible closeness spaces can take an almost unbelievable complexity beyond what is possible for metric spaces. The faintest hint of this is provided by a transfinite algorithm, and partial proof of correctness which is not reproduced here, which seems (given the Axiom of Choice) to be able to embed an arbitrary partial ordering in a totally ordered field. I believe that the power is sufficient to justify making:

Conjecture 2.5.2:

Assuming the Axiom of Choice, any closeness space can be generated from ℝ under the closeness arising from the usual Euclidean distance metric, by the operation of taking cross products in the dictionary order, and taking subsets.

Example 2.6:

The long line appears to be a closeness space under what could intuitively be described as comparing the absolute value of differences. In general we cannot subtract ordinals as we can finite numbers, but we can do something comparable in this case.

We compare pairs of ordinals (o1, o2) and (o3, o4) as follows, in the case that both are distinct pairs:

Without loss of generality, assume that o1 < o2 and o3 < o4.

ƒ(o1, o2, o3, o4) = ‘<‘ if o1 + o4 < o3 + o2.
ƒ(o1, o2, o3, o4) = ‘=’ if o1 + o4 = o3 + o2.
ƒ(o1, o2, o3, o4) = ‘>’ if o1 + o4 > o3 + o2.

Example 2.7:

The numbering of items in this thesis may be taken to be a finite and discrete closeness space, with closeness compared with a dictionary ordering on the numberings.

Chapter 3: Towards Constructing a Field

We now define the next level of values:

Definition 3.1:

A level 2 value is defined to be a level 1 sequences of values {dα}α∈J which is Cauchy convergent: for every element εβ of level 1 epsilon {eβ}β∈K, there exists an element dβ of {dα such that every subsequent pair of values dα1, dα2 are within εβ of each other.

What we are dong here is taking the closure of the set of level 1 values under the operation of taking limits, which might or might not be embeddable in ℝ and might be finer-grained. A level 1 value is included by a sequence that consists exclusively of that value.

Note 3.2:

We compare two level 2 values v1 = {d}α∈J and v2 = {d}α∈J as follows:

If there is an element α0 of J such that, for all subsequent values of α1 and α2 we have α1 and α2 then v1v2.
If there is an element α0 of J such that, for all subsequent values of α1 and α2 we have α1 and α2 then v1v2.
If for every element α0 of J, there exist subsequent α1, α2, α3, and α4 such that d1α1d2α2 and d1α3d2α4, then v1 = v2.

Definition 3.3:

A level 3 value is defined to be an equivalence class of level 2 values under the partition induced by equality. Level 3 values are ordered in the same way that their members are ordered.

Definition 3.4:

A level 2 zero is defined to be an infinite sequence of level 1 zeroe.

Definition 3.5:

The level 3 zero is defined to be the equivalence class of the level 2 zeroes.

Lemma 3.6:

The set of points whose distances are less than v1 from point s1, for any value v1 and point s1, constitutes a ball.

Proof:

It is clear that every point in this set is closer to s1 than is any point not in the set. So we need only to know that the set does not contain any boundary points.

If there is a boundary point s2, then there is an epsilon at that boundary point contained in the set, and an epsilon at that boundary disjoint from the set. From these can be chosen a sequence of distances that converges to (s1, s2) and is inside the set, whereby v1 ≥ (s1, s2), and can also b chosen by a sequence of distances that converges to (s1, s2) and is outside the set, whereby v1 ≤ (s1, s2). So v1 = (s1, s2). The ball contains only points strictly closer than v1, so it does not contain s2. ⇒⇐

Q.E.D.

Definition 3.7:

The supremum (resp. infemum) of a nonempty set W of level 2 values is defined to be the equivalence class containing the sequences v1 of values which satisfy the following three conditions:

Condition 3.7.1:

All elements of v1 are contained in some element of W.

Condition 3.7.2:

v1 contains at least one element greater than (resp. less than) or equal to any element of W.

Condition 3.7.3:

v1 is monotonically nondecreating (resp. nonincreasing).

Remark 3.7.4:

Not all sets will necessarily have a supremum or infemum. This a definition of what the supremum is if it exists, not necessarily a statement that one always exists.

There is at most a single equivalence class containing all such sequences, because any one contains an element greater than or equal to any element of any other, arbitrarily far along in the sequence.

The supremum and infemum of the empty set are undefined.

Now, we begin to develop an arithmetic.

Definition 3.8:

A value v1 is said to be equal to v2 + v3 if v1 is the supremum over all triplets of points s1, s2, and s3 of the distance (s1, s3), such that the following two conditions hold:

Condition 3.8.1:

(s1, s20 ≤ v2
(s2, s3v
3

Condition 3.8.2:

There do not exist any three points s4, s5, and s6 such that:

(s4, s4) ≤ v2
(s5, s6) < v3
(s4, s6) ≥ v1

or

(s4, s4) < v2
(s5, s6) ≤ v2
(s4, s6) ≥ v1

Notation 3.8.3:

A value v1 is said to be a difference of v2 and v3 if v2 = sub1 + v3.

Remark 3.8.4

This definition does not guarantee the existence of a sum of two values; it only tells how to tell if a given value is equal to the sum of two others.

This value is chosen for its simplicity, specificity, and power; there numerous other ways of defining addition, some of which would seem to be a more generalized version of addition, doing to addition in ordered, cyclic, abelian groups as we know them what metric spaces do to ℝ2. However, we will not investigate that generality here, and in particular, we are going to restrict our attention to a specific subset of closeness spaces, those for which addition as here defined is associative and uniquely defined.

If we not only do not restrict our attention, but replace the given condition with the stipulation that v1 is the supremum over points s1 of distances from s1 is the supremum over points s1 of distances from s1 to a point in the union of all closed balls of radius v3 whose centers lie in a closed ball of radius v2 centered at s1, then we further lose commutativity; at least in the case of the long line, though, we have reproduced ordinal addition.

It appears that looking at those more general cases may be of mathematical interest and may allow the creation of an arithmetic that is looser and more general than that of an ordered, abelian group. However, we do not investigate that possibility here, and have not investigated it, beyond the brief attention paid in this remark.

This definition provides commutativity, and unique subtraction where defined (i.e. v1v2 may not be defined, but if it is, it is unique; provided that v1v2 may not be defined, but if it is, it is unique; provided that v1 = v2 + v3, if v4 < v3, then the distances between pairs of points eligible for the definition of addition will be less by at least a minimum positive amount, by the triangle inequality, so v2 + v4 < v2 + v3 = v1. This observation, as well as establishing that subtraction is not ambiguous (though possibly undefined), proves for us:

Theorem 3.9:

For any three values v1, v2, and v3 for which v2 + is defined, we have:

If v1 < v2, then v1 + v3 < v2 + v3.
If v1 = v2, then v1 + v3 = v2 + v3.
If v1 > v2, then v1 + v3 > v2 + v3.

Sketch of Proof 3.9.1:

The first case is established above. The second case is established from the first case by the symmetry of an ordering, and the third case is established by the contradiction which would arise from the transitivity of the ordering if one sum was less than the other.

We now define our next level of value; as we earlier developed a closure under the operation of taking limits, we now define a closure under the operation of addition. Again, we are going with the more specific and powerful definition of addition given, at the loss of some generality.

Hunch 3.10:

Addition of values is associative.

Suggestion of Proof Idea 3.10.1:

It seems that this arises from condition 3.8.2. Definition 3.8 is a refined version of earlier, less powerful definitions; we have not devoted enough time to the matter to establish associativity. We will continue on the assumption that this is true; one might say if need be that we are restricting our attention to spaces where addition is associative. We will further restrict attention to spaces which are closed under addition (although a slightly weaker condition is needed for my work, namely that any two level 4 values as defined below are uniquely comparable).

Definition 3.11:

A level 4 value is defined to be a finite string of symbols as follows:

Part 3.11.1:

If v1 is a variable referring to a level 3 value, then “v1” is a level 4 value.

Part 3.11.2:

If “s1” and “s2” are two level 4 values, then “(s1 + s2) is a level 4 value.

Part 3.11.3:

If “s1” is a level 4 value, then so is “— s1“.

Part 3.11.4:

Nothing else is a level 4 value.

We compare level 4 values as follows:

Comparison 3.11.5:

If for level 3 values we have v1 < v2, then for level 4 values, we have “v1” < “v2” and “— v1” > ” — v2“.

If for level 3 values we have v1 = v2, then for level 4 values, we have “v1” = “v2” and “— v1” > ” — v2“.

If for level 3 values we have v1 > v2, then for level 4 values, we have “v1” > “v2” and “— v1” < ” — v2“.

And we complete comparison by allowing certain manipulations, namely:

Part 3.11.6

If for level 3 values we have v1 = v2 + v3, then inside a level 4 value v1 may be substituted or back-substituted for v2 + v3 and v3 + v2, then inside a level 4 value v2 may be substituted or back-substituted for v1 + — v3.

Part 3.11.7:

We may associate and commute while preserving equality.

Part 3.11.8:

We may add a like value to two different values without affecting their comparison.

Part 3.11.9:

Comparison is transitive.

We now define:

Definition 3.12:

A level 5 value is an equivalence class of level 4 values under equality, with addition, additive inversion, and comparison of equivalence classes defined according to the equivalence classes of those operations on respective members.

We now have an ordered abelian group.

Remark 3.13:

It is well known that an ordered abelian group may be embedded in a field. (Source: Anand Pillay).

Definition 3.14:

For any two values v1 and v2, v1 is said to be of the same magnitude as v2 if there exists a positive natural number n such that either v1 + v1 + ⋯ + v1 > v2 (with v1 added to itself nn times) and v2 + v2 + v2v2 >
v1(with v2 added to itself n times), or v1 + v1 + ⋯ + v1 < — v2 (with v1 added to itself nn times) and — v2v2v2 ⋯ — v2 < v1 (with v2 added to itself n times).

It is clear that the magnitudes are equivalence classes of values.

The value 0 resides in its own magnitude, which will not be named.

Part 3.14.1:

Magnitude M1 is said to be greater than (resp. less than) magnitude M2 if it is a different magnitude, and M1 contains at least one positive value that is greater than (resp. less than) at least one positive value in M2.

Part 3.14.2:

The magnitude which contains 1 is said to be finite.

All greater magnitudes than the finite magnitude are said to be infinite.

All lesser magnitudes than the finite magnitude (excluding the magnitude of 0), are said to be infinitesimal. The variable ε will hereafter refer to an infinitesimal.

To give a specific example of what kind of ordered field we have, let us look at

Example 3.15

Let closeness space C be the space examined in example 2.3.4, namely ℝ2 × ℝ2, under the closenesses induced by the dictionary order on Euclidean closenesses.

Then the closenesses are of type ℝ2 × ℝ2, in the dictionary order.

The elements of a minimal imbedding field are of order type S ⊂ ℝ2ℤ, such that all but finitely many of the coordinates of an element of S are zero.

Comparison of values is a dictionary comparison of their coordinates.

Addition of two values is coordinate-wise addition of reals. I.e. if v1 and v2 are values and v1i, v2i are the ith coordinates of v1 and v2 respectively, then the ith coordinate of v3i of v3 = v1 + v2 is equal to v1i + v2i.

Multiplication of two values is as follows:

If v1 and v1 are as above, then v3 has coordinate v3i equal to Σj+k=i = v1j × v2k.

This is isomorphic to the field of ratios of polynomials in a single variable, over the real numbers. Note that, although the order type is fixed, a constant c chosen so that c0 = 1, c1 is a number of the lowest infinite magnitude and zero coordinate in other magnitudes, and c-1 is a number of the highest infinitesimal magnitudes, is not a unique constant. Any one such value can be arrived at by multiplying another such value by a nonzero real number.

The interpretation of this representation as given is that the 0-coordinate is the finite component, components of positive ℤ value are infinite components, and components of negative ℤ value are infinitesimal components (or vice versa).

Under this interpretation, we can say that the given closeness space is like a metric space, using the given field instead of ℝ as the measure. It could be stated to use the 0 coordinate for the large plane, and the — 1 coordinate for the miniature planes at each point of the large plan (in which case the space is interpreted as a roughly Euclidean plane with infinitesimal distances, or to use the 1-coordinate for the large plane, and the 0 coordinate for the small planes (in which case the space is interpreted as an infinite plane of real planes — it is to the Euclidean plane roughly as ω2 is to ω among ordinals), or indeed z and z – 1 for any integer z.

Example 3.15.1: Non-Standard Analysis

This allows achievement of at least some of the results of nonstandard analysis. For example:

Definition 3.15.1.1:

For the duration of this example, we define the nearest real number to a finite value to be the value of the same first coordinate, and zero component in the second coordinate. (I.e. a distance of 3.7 × 0 is the nearest real number to 3.7 × — 23.4. 3.7 × — 23.4 or 0 × 14 are not the nearest real numbers to anything.)

Definition 3.15.1.2:

We define the limit of a function ƒ at point x to be equal to the nearest real number to ƒ(x + ε), if such a real number exists and is uniquely defined across all infinitesimals ε.

For example, the limit of ƒ(x) = x + 1 at x = 1 is the nearest real number to

ƒ(x + ε) =
f(1 + ε) =
1 + ε + 1 =
2 + ε

which has 2 as its nearest real number.

Definition 3.15.1.3:

We define a function ƒ(x) to be continuous at point x if f is defined at x and if, for every infinitesimal e, we have ||ƒ(x + ε) — ƒ(x)|| at most an infinitesimal.

For example, if we have

ƒ(x) = x + 1 if x ≥ 0
ƒ(x) = 0 otherwise

then we have f continuous at -1 and 1, but not continuous at 0:

ƒ(-1 + ε) – ƒ(-1) = 0 – 0ƒ(1 + ε) – ƒ(1) = 1 + ε + 1 – 1 + 1 = ε
but problems when we examine a negative value of ε with nearest real number at 0:

If ε < 0, then ƒ(0 + ε) = ƒ(ε), but we have f(0) = 0 + 1 = 1, and 0 — 1 = &mdash 1 is not an infinitesimal.

Definition 3.15.1.4:

We define the derivative of a function ƒ at point x to be the nearest real number to

(ƒ(x + ε) – ƒ(x)) / ε

if such a number exists and is well-defined across all infinitesimals ε.

For example, the derivative of ƒ(x) = x2 is equal to the nearest real number to:

x + ε)2x2) / ε =
(x2 + 2xε + ε2x2) / ε =
(2xε + &epsilon2
) / ε =
2x + ε

and the nearest real number to 2x + ε is 2x. So we have the derivative of x2 equal to 2x.

Closing remark

Providing a nonstandard analysis with derivatives seems straightforward enough; notwithstanding the fundamental theorem of calculus, it is not clear to this author how to adapt these findings to create an integral, although just as epsilon-delta arguments provide a finite workaround to infinitesimals, the core concept of integration in calculus find a finite workaround to summation of an infinite number of infinitesimally thick slices. It might be noted that this system does yet have the infinite sums and infinite integers of non-standard analysis. Perhaps our restricted attention disregarded some closeness spaces or other matters yielding fields that would allow a more powerful non-standard analysis; perhaps work with the closeness spaces involving the ordinals cross [0, 1) — a nonnegative long real number line — would achieve such things. However, we will draw a limit to the investigation here.

Monasticism for Protestants

Alice in Wonderland

I was given a copy of Singled Out: Why Celibacy Must Be Reinvented in Today’s Church. I’ve read some but not all of it, and I’ve read the introduction in full. I really have more to say than that the Orthodox tacit response to hearing an Evangelical say, “I’ve been reading the Fathers” when they have only been reading the Blessed Augustine is, “Ouch!” Saint as he may be, the Blessed Augustine is not any kind of legitimate polestar for navigating the Fathers, and when Singled Out deals with a Tertullian who fell into heresy and gave Augustine a singularly bad precedent, the best thing to say to Evangelicals is, “You do not understand monasticism as it exists in the Orthodox Church.” Possibly parts of the book I didn’t get to start to bring in quotes from the Orthodox Church’s Greek Fathers, but I have not found such a passage and it certainly doesn’t set the stage. Alan Perlis said something entirely relevant to Protestants who wish to understand Orthodox monasticism: “The best book about programming for the layman is Alice in Wonderland, but that’s just because the best book about anything for the layman is Alice in Wonderland.” And the best book for Evangelicals on Orthodox monasticism is decidedly Alice in Wonderland.

I wish to state briefly, and without explanation, that the first step in understanding Orthodox monasticism is understanding it is nothing Protestants can project. One routine moment in a conversation with a respected parishioner, informally called “the godfather of us all” within the parish, came when he had said he wanted to understand Orthodoxy and asked an Orthodox Christian what books to read, was told, “You don’t understand Orthodoxy by reading books. You understand Orthodoxy by participating in the services.” And if the Orthodoxy of the parish is not something to analyze, it is all the more confusing to understand monastic Fathers without even being Orthodox. Regarding sexuality, for instance, monasticism knows as well as anything else that sex is a powerful impulse, and it has powerful built-in features intended, ultimately, to transform carnal desire into a desire for God. Part of this is an extreme caution in monks’ dealings with women, but the same caution is present in the (admittedly less numerous) warnings by Mothers for nuns dealing with men. One nineteenth-century Russian monk compared the Christian living in the world to a wildflower, with the monastic (male or female) compared to a flower that needs to be in a “hothouse” (i.e. a heavily curated greenhouse) to flourish. Marriage is a good and honorable thing, but it’s not just marriage where sexuality serves a legitimate purpose. Monasticism does not provide a track where sexual impulses become simply absent or unimportant; it provides a track where sexual impulses are to be one of several areas where the human is transformed according to divine glory.

A theology of failure

My first real point about Singled Out is that is that the introduction does not call for a new theology of celibacy. It calls for an old theology of failure.

Let me take an instance with St. Paul, and for the moment ignore his celibacy completely, which is not my point here. His accomplishments include raising the dead, planting numerous churches, and writing half the volumes of the New Testament. Sometimes people speak of someone having nothing left to prove; on human terms his accomplishments are about as stellar as mortal Christian has achieved. When he wrote 2 Timothy in particular, and knew that his end was near, he had about as much claim as anybody in Christian history to say, “I came. I saw. I conquered.” But what he instead says is “I have fought the good fight. I have run the race.  I have kept the faith.” These words do not bear a whisper of saying, “I achieved.” They say instead, “I was faithful.

Saints on the whole are faithful and are not affected terribly differently by success and failure, and this is normative. If we look at school sports, there is a momentous spiritual edifice of sportsmanship, however imperfectly applied: “It’s not whether you win or lose; it’s how you play the game.” Now teams of athletes who have to give a game their best may end up winning remarkably often, but this is not a best strategy of winning. It is a best strategy above winning.

Saints seem to exhibit something like sportsmanship in that they are concerned about being faithful rather than succeeding or failing. This adds a certain tint to the whole moral atmosphere, and saints, which one tries to tell even in a work from the Anabaptist tradition like Martyr’s Mirror, show in the living color of story what a holy life looks like. “Every Christian must bear his cross,” and this applies to successes and failures alike. Marriage is meant to be blessed by as many children as God is generous enough to give, and childlessness is a curse. Some have said that marriage is not an institution for children to grow up in, but an institution for parents to grow up in. To those who are married with children, the children should be a joy, but raising them is the cross by which parents are to be saved. However, God does not always give this blessing, and to parents who want to welcome children but are not able to do so, childlessness is itself a cross by which the parents to be saved. Lastly for now, I would suggest that if there are people who endorse marriage is normal, and want to be married but end up always a bridesmaid but never a bride, lack of marriage is itself a saving cross. Disrespect for marriage is a sin, and the career path of monasticism provides a practical and valuable resource, nost just to monastics themselves, but also to devout Orthodox families who tend to visit monasteries. But if, as described in Singled Out authors grew up hoping for marriage and their dreams did not come true, what is needed is not a new theology of celibacy but an old theology of failure and the crosses by which we are saved. And so far as I can tell, the authors are entirely innocent of contact with Orthodox monasticism.

I am trying to get to Mount Athos and become a member of a respected monastic community. However, I am not obligated to succeed in connecting with any of the monasteries on the planned pilgrimage. I am furthermore not obligated to succeed in being able to pay for the trip. I am trying, and under the conditions I feel fully obligated to give it my best, but I am not obligated to succeed. (Willing to make a donation?)

Here we are still on the outside porch of Orthodox monasticism, and not on the inside. But I would suggest that the Orthodox understanding of monasticism provides a robust and excellent old theology of celibacy, and also that “every Christian must bear his cross” and the old theology of failure have every relevance to those who seek marriage but do not arrive at it.

Looking at Stranger in a Strange Land as an old Western idol

Robert A. Heinlein’s cult classic Stranger in a Strange Land, a book which was published in 1961, inspired many flower children, and has never gone out of print, is a Western book, and Western in a sense in which most Western Christians legitimately disavow. Early on in the book when Heinlein is loosening up his readers’ boundaries, Heinlein has the hero and heroine basically naked together in the strictest innocence and for entirely legitimate reasons, and the reader is invited to judge the cop who has a dirty mind because of what he reads into them being naked together. When the cop needlessly strikes the heroine, the hero kills him with psychic powers, but only after Heinlein assures us that the cop did not strike her as hard as he used to hit his wife. The episode serves as a sort of gateway drug en route to a Utopianism in which promiscuity is fêted, and for the only time I’ve seen in literature being raped is a helpful and invigorating experience, and while Heinlein grinds the most massive axe against firearms for no explained reason, killing (and cannibalism) become even more casual than promiscuity. Charles Manson, a serial killer who viewed murder as just a habit like smoking a cigarette, denied having read the title at all, although the book’s influence was in some circles ubiquitous, and one of Manson’s own children bore the hero’s first, middle, and last name, “Michael Valentine Smith.” All of this makes for a singular profile even as far as Utopias go.

While Heinlein eagerly rips marriage to shreds, there is a covenant (although not called by that name) of “water brotherhood”, which is some combination of reinventing marriage, only dumber, and reinventing the Church, only dumber. The “Thou art God!” epiphany Michael shares with the fatherly Jubal and the joke about one worm saying to another, “Will you marry me?” and the other saying, “Marry you? I’m your back end!” are reinventing Hinduism, only dumber. While certain aspects of the book show Heinlein has apparently “taken inspiration” from Hinduism, in the sense a web designer might use as a euphemism from outright theft of their intellectual property, Hinduism itself is deeper than a whale can dive. Now I am not endorsing Hinduism but I recall, if nothing else, words which I thought came from G.K. Chesterton but cannot now trace, that if you are considering world religions, you will save yourself a great deal of time by exploring just Christianity and Hinduism: Islam is just a Christian heresy and Buddhism is just a Hindu heresy. And really, it’s not just Hinduism that offers a more interesting theology than Heinlein. Buddhism and Taoism are themselves more interesting than Heinlein’s sporadically cherry-picking bits of Hinduism. (And it might at least be helpful to place, “Thou art nothing!” alongside “Thou art God!”) I recall one class at Fordham where the professor spoke of speaking with a Hindu scholar (I think he mentioned lots of wine having been consumed), and the professor saying that he was perfectly happy with God being incarnate in Christ, but why only one? (The great teachers in the Western understanding, plus perhaps various mythological figures, are held in Hinduism to be Avatars in which God / gods came down in human semblance; there are points of contact with Incarnation, although those interested in theological exactness might note that the conception of an Avatar is not that of Incarnation but of the kind of Docetism which sees Christ as human only in a deceptive appearance, the Divine Nature being incapable of being made man.) But let me return to incarnation in a moment.

And finally on the point of this Utopian novel, what Stranger in a Strange Land offers is a Gospel, but only a Gospel made dumber. One Christian editor, in personal conversation, talked about choosing the name for an article. Editors often do this better than authors, by the way. The title amounted to “Maximum Christology,” which asserted that the findings of the Christological Councils are in every way those of a Maximum Christ: maximally God, maximally human, maximally united, with the divine and human natures maximally distinguished. And some of these heroes are of a sub-maximum Christ figure. As I said in an overly long and complex homily in The Sign of the Grail, the figure of Merlin, if pushed to absolute fullness and depth, becomes the figure of Christ. The same is true of the hero, Michael Valentine Smith. No matter what attacks Heinlein places on Christianity and the morals he falsely assumes to be distinctly Christian (by the way, Christianity is in general much more comfortable about legitimately acceptable touch than Hinduism: if you want touch in Hinduism, Kali’s Child comes highly recommended; Kali is a demon-goddess who wears a necklace of skulls and madness is the special blessing she bestows), Heinlein’s debt to the Gospel is incalculably greater than his debt to Hinduism. Even the hero’s martyrdom owes its debt to Christianity; the Bhagavad-Gita may have Sri Krishna exhorting Arjuna the Conqueror of Sloth to enter a battle and strike those doomed to death; I am out of my depth as far as interpretation of the Bhagavad-Gita goes but martyrdom is celebrated neither on the part of divine charioteer nor human noble, even if some commentators (like Gandhi) held martyrdom in the most profound respect. There is no sense I get that either charioteer or ruler gave his life as a ransom for many, nor that martyrdom is the noblest death to die, nor, so far as I know, planted a Church that we marked by referring to years as AD and BC in its infinite shadow. The whole story is the Gospel made dumber, a point I tried to argue in Looking at Stranger in a Strange Land as a Modern Christological Heresy.

But there is one point of redeeming virtue. Michael, the hero, says, “Happiness is a matter of functioning the way a human being is organized to function… but the words in English are a mere tautology, empty. In Martian they are a complete set of working instructions.” And in fact we have such a complete working instructions in monasticism. Now I would like to underscore that marriage is a sacrament and the normal choice it is expected that most Orthodox will follow; I will not extol marriage at length but it is worth extolling, as in this beautiful video about Saints Peter and Fevronia (with English subtitles).

Beggars and the divine

There was one point where I was hospitalized with, among others, a woman (a former ballerina, but that’s beside the point), bordering on homelessness. I wondered, “Is there any way I can lighten this cross?” and in fact there was, and I did so when closing out the visit. Part of the difficulty was that she needed to keep track of numerous mostly small items, and that is difficult when homeless. I had an item now not available new, a geeky messenger bag, which was then cheap, easily replaceable, and like nothing else I’ve found anywhere near the price point. And it had both large capacity and multiple compartments. Before I gave it to her our dealings were polite if distant; we never connected interpersonally. And after her warm thanks, our dealings remained polite if distant; while I struck up a friendship with another guy, she and I never clicked as friends, let alone something romantic. And I really think neither of us was obligated to any friendship.

Then why the gift?

To put things in melodramatic terms, none of us goes to sleep knowing we will wake up. Were I to fall asleep that night in time and wake up in eternity, I would have greatly preferred the bag to be in her possession than mine.

If that sounds melodramatic, read to this apocalyptic passage from the Gospel according to St. Matthew:

When the Son of man shall come in his glory, and all the holy angels with him, then shall he sit upon the throne of his glory: And before him shall be gathered all nations: and he shall separate them one from another, as a shepherd divideth his sheep from the goats: And he shall set the sheep on his right hand, but the goats on the left.

Then shall the King say unto them on his right hand, ‘Come, ye blessed of my Father, inherit the kingdom prepared for you from the foundation of the world: For I was an hungred, and ye gave me meat: I was thirsty, and ye gave me drink: I was a stranger, and ye took me in: Naked, and ye clothed me: I was sick, and ye visited me: I was in prison, and ye came unto me.’ Then shall the righteous answer him, saying, ‘Lord, when saw we thee an hungred, and fed thee? or thirsty, and gave thee drink? When saw we thee a stranger, and took thee in? or naked, and clothed thee? Or when saw we thee sick, or in prison, and came unto thee?’ And the King shall answer and say unto them, ‘Verily I say unto you, Inasmuch as ye have done it unto one of the least of these my brethren, ye have done it unto me.’

Then shall he say also unto them on the left hand, ‘Depart from me, ye who are damned, into everlasting fire, prepared for the devil and his angels: For I was an hungred, and ye gave me no meat: I was thirsty, and ye gave me no drink: I was a stranger, and ye took me not in: naked, and ye clothed me not: sick, and in prison, and ye visited me not.’ Then shall they also answer him, saying, ‘Lord, when saw we thee an hungred, or athirst, or a stranger, or naked, or sick, or in prison, and did not serve thee?’ Then shall he answer them, saying, ‘Verily I say unto you, Inasmuch as ye did it not to one of the least of these, ye did it not to me.’ And these shall go away into everlasting punishment: but the righteous into life eternal.”

It is the clear teaching of Westerners I know who care for the poor that giving money to beggars is making a problem worse, and it is the clear teaching of the Orthodox Church to give something. I’ve never really heard any Orthodox authority say you should give a lot; the suggestion, without a number being ever stated that I have heard, is that you should give a small amount that is entirely within your power. If they use that money to buy drugs that is no more your fault than it is God’s fault for giving you free will that you use to commit abominable sins. Furthermore, I have heard even my relatives pronounce the word “beggars” like they are some kind of disgusting vermin. They are not. When we answer before Christ’s throne, we will answer a great deal more for how we have treated homeless beggars than we will for those in our family and our social circles. I personally view beggars as altars by which I may show small kindnesses to Christ.

A monastic living under a vow of poverty may be under a slightly different set of rules. Monastics are said to be “above alms,” and to a visitor of the same sex, the words “Is not a word better than a gift?” apply, the point being that you can meet the dues of hospitality even if there is nothing you could give even if you wanted. But the core principle is this unchanged: beggars, like everyone else, are made in the image of God, and the point of becoming a Christian is neither more nor less to become by grace what Christ is by nature. None of us is divine “without any help,” so to speak, and the Hindu “Namaste” meaning “I recognize that the innermost part of you is a drop of God,” which I have only heard from New Agers (Hindus have treated me with respect enough but they usually greet me with “Hi,” “Hello,” “Good morning,” etc.) is not in the literal sense Orthodox. Christ and Christ alone among mankind is divine by nature. However, Christ’s action is to make men divine by grace, and ultimately rise above the wall which separates God and Creation. And in that sense, while Orthodox Christianity does not have a great collection of avatars who are all divine by nature, it does have a great collection of saints who are genuinely and properly divine by grace. Even among the rest of us, what is most at our core may not be directly and properly a drop of God himself, but it is to be created in the divine image: to be human is to be a symbol of God in an extraordinarily profound sense, a symbol that both represents and embodies, so that every act of kindness or cruelty rendered to our neighbor is by that fact kindness or cruelty rendered to Christ. My response to my teacher about “Why only one avatar?” and the teacher clarifying that he meant only real avatars, was more than technically correct on my part. “Divine by grace” is real. It is perhaps not, in terms of origins, something that came to be with “divine by nature” built in, but that is not the point. Heaven will be filled by people who were and will be even more “partakers of the divine nature”, genuinely and really divine by means of grace, and this is what we were created for in the first place. We were created to come to a place where the very distinction between Uncreated and created is transcended.

Monasticism as supreme privilege within the Orthodox Church

As I wrote on a social network:

There is a saying that virtue is its own reward, epigrammatic enough that Spaceman Spiff / Calvin wants to teach horrid aliens that virtue is its own reward.

Both physically and spiritually, virtue really is its own reward. Though athletes might train for competitions, the advantages of physical health are not mainly looking better in a swimsuit, but having your body function as it was meant to function and your mind clearer as well. For another example, a recovering alcoholic who has been years sober, or perhaps with slips treated as a real problems and stopped as real problems, the main advantage is not removing the expense of heavy alcohol purchases, nor improved nutrition as alcohol is a genuine nutrient that in large quantities can displace alcoholics’ intake of more balanced nutrition, nor the annoyance of other people constantly getting on their case for drinking too much. The chief reward for being years sober is that you have abandoned a suffering you wouldn’t wish on your worst enemy: the reward for sobriety is sobriety, including feeling much, much, much better. (I opened with drunkenness in the homily A Pet Owner’s Rules.)

But without contradiction to virtue being its own reward, virtue is also the reward of repentance. The Philokalia says that people hold on to sin because they think it adorns them. My understanding is that Evangelicals have said that repentance is an unconditional surrender, and it is. My godfather talked about it as the most terrifying experience at all. God demands an unconditional surrender of us, not for his sake, but for ours. Once we surrender we realize, “I was holding on to a piece of Hell!” The primary Orthodox metaphor for repentance is awakening, and I’ve been happiest when I’ve repented of something I’ve been in the grips of. In one sense I’m at my happiest when I am writing something new. (And in that sense, I wrote, Repentance, Heaven’s Best-Kept Secret“)

One last point. The terms of monasticism are the terms of the highest privilege the Orthodox Church has to offer. I also expect that it will cut certain sins much shorter, but there is more than a resource I really think I would wiser not decline. Monasticism is spoken of as repentance, and while it is desirable to have tears and the joyful sorrow of compunction, entering monasticism to repent of your sins ideally bears Heaven’s best-kept secret. If you repent, however great the sorrow it straightens out your heart, and commonly straightens out the body somewhere along the line. Monks (actually, all of us) are forbidden ambition to seek any ordination, but seeking to become a bishop, besides being a temptation, is a confused way to drop the real treasure in a perturbed haste to grab a consolation prize. God’s blessing may be on ordained monks who just want to be monks, such as abbots and bishops, but the highest position of privilege is not that of the highest bishop. It is that of a mere monastic whose sights are set much higher than mere ecclesiastical office. And on that note I wrote A Comparison Between the Mere Monk and the Highest Bishop.

I am not seeking misery. I am seeking great privilege, much greater privilege than my educations.

Monasticism as “a complete set of working instructions

The Blue Zones, coming out of a study of where people live the longest, identifies certain hotspots of the map researchers originally marked in blue. There are, according to the Wikipedia entry, nine common themes:

  1. Moderate, regular physical activity.
  2. Life purpose.
  3. Stress reduction.
  4. Moderate calories intake.
  5. Plant-based diet.
  6. Moderate alcohol intake, especially wine.
  7. Engagement in spirituality or religion.
  8. Engagement in family life.
  9. Engagement in social life.

On Mount Athos, the place I hope to go, and God willing repent of my sins into great old age, every single one of these things is present. (I do not know if Athos is an unstudied hotspot; Athos is a bit hard to reach even for Orthodox, and possibly it is a curiosity that was unknown.) Now there is not the usual sense of engagement with family life, but a healthy Orthodox parish, let alone monastery, is in a deep sense family and “family” is not simply one metaphor among others. The fact that there are probably fathers and sons, or brothers, or uncles and nephews, on the holy mountain is beside the point. However, I would like to drill down on the least “spiritual” of them all.

In a monastery (see a video of Holy Cross Hermitage that gives monasticism a concrete face), there is prayer in liturgy and prayer in near-constant work, with no divide between sacred and secular. People, or at least young monks, are kept occupied, but this is primarily for their needs rather than the monastery and there are stories of ancient monks who would rather make an enormous pile of baskets every year and burn them than be idle. Like in the blue zones, large amounts of time are spent in moderate activity. And one of the the things I realized is that “fitness nut” level exercise, with one qualification mentioned below, is really a consolation prize compared to always being engaged in obedience. It’s a bit like saying, “Well, I don’t have leisure in my schedule for a glass of wine with my dinner, so once a week I’ll have 100 grams of Everclear.” The analogy may break down in that alcohol is hardly a need, but the point stands that sipping one glass of wine with dinner is for most of us good, while blasting a throat-parching payload of 100 grams of absolute alcohol all at once is for most of us dubiously helpful.

The one exception I will mention is that there are cases where people push farther, but in the long term moderate exercise is better than world-class exercise. Remember the former ballerina I mentioned? She wasn’t especially old. Top-notch ballerinas don’t retire because audiences don’t like wrinkles; top-notch ballerinas retire because you can only put that heavy a load on your body for so many years, and the number of years is short compared to normal aging. The usual lifespan is short among an African people that run around eighty miles a day hunting deer by running after it until it collapses from exhaustion; these people don’t die old. And I remember one bodybuilder at my high school who looked quite impressive asking if it was healthy to lift weights, and the presentation giver, perhaps insensitively, said that an extra pound of muscle was just as hard on the heart as an extra pound of fat: it may be striking to have incredibly thickly muscled arms and legs, but there’s more than an unofficial consensus among women that ridiculously huge muscles are ugly. The human body as a whole is not at its health when those are its proportions. The human body can be pushed to marathons or triathlons, but there are long-term problems that you don’t get from hours a day of moderate activity. There are many excesses above near-constant moderate activity that can be sustained at least for a time, but the moderate version is optimal.

And there is a further point I would like to mention, which is simply that the Fathers are very clear that when you are doing an obedience, nine tenths of your attention should be on cultivating and maintaining your inner state, and only one tenth on the physical act. This point was underscored with infinite gentleness when I visited one monastery and the Archimandrite stated that he was assigning obediences for the day and asked if anybody wanted to request anything. I asked him for something with vigorous exercise. He assigned me to work with a monastic aspirant on firewood; what this meant practically was that he and I would work together to gather trees that had been cut up with chainsaws but not further dealt with, and load them into the back of a truck and then unload them at the woodpile. The exercise was delightfully invigorating, and I was able to relieve a partner who was exhausted after being asked to move bigger and bigger and bigger wood; on my end, there were moments where I knew that my weight plus the wood block’s weight amounted to well over three hundred pounds, and it was pushing my feet into the ground hard enough that I worried my workboots might come off when I lifted my feet and pulled them out of the mud they were sunk in. But vigorous as that may have been, there was a significant problem: I wasn’t really praying that much. When I mentioned this, the abbot expressed deep gratitude for my work, and apologized for his shortcoming with me, saying he had not served me adequately in what he had asked me to do. The apology was, with infinite politeness and gentleness, correcting me for a basic beginner’s mistake: doing an obedience without sufficient prayer, and the next obedience he assigned me was something else that was manual labor but not nearly as much force. While the work he assigned was useful to the monastery and would help keep them warm at winter, he was far more concerned about whether the obedience was a practical help to my prayer than what external work I accomplished. And the practice of assigning obediences to visitors is not primarily a message of, “You are staying with us and we would like you to pull at least some of your weight,” even if that may also be true, but “We invite you to join us by praying with us in the temple as we sing our prayers, and we would also like to invite you to join us to pray as you engage in prayerful work with us outside the temple.” And the work is not secular; it is sacred even if it could be performed in a secular way.

Let’s look at the three classic vows.

Obedience

I’m a bit of an outsider looking in as far as monastic obedience goes, but I would prefer that my writing, at least in theology, were something I was working with and receiving a blessing, including periodically being expected to submit.

One sliver of a window came from a remark I needed to explain (as well as translate) to my parents. We were at a Mexican family-run restaurant, and as we were almost heading out the door, I said something that positively lit up the restaurant staff. I said, “La comida esta hecha con amor,” possibly making some minor language error; the phrase literally translated was “The food is made with love.” Which needed some explanation about why I would say that and why the staff would light up. There is a belief in Mexican culture that food made with love is delicious, while on the opposite end food made in anger and upset will taste terrible and possibly cause indigestion or other nastiness.

That belief is properly part of Mexican culture, but it is of much earlier vintage. One tidbit from monastic literature has a king or someone from a king’s court asking an abbot why food at the monastery, which was made from the simplest ingredients, tasted so good, while food at the royal court made with the best ingredients available tasted worse. The abbot said that food at the court could easily be made amidst conflict and anger, while at the monastery everything was done after receiving a blessing; under normal circumstances “obedience” includes monks seeking the abbot’s blessing for essentially any action. But this is more than asking permission, or at least more than receiving permission. If an abbot gives a monk a blessing to do something, the monk has not just gotten an OK to move ahead. The abbot has declared the blessing of God, and one result of obedience and submission that asks blessings is that what you do has many more blessings pronounced on it than most non-monastics ever see.

People who are above my pay grade, who know obedience from within, speak of obedience as utter freedom. I’m not in a place to confirm that firsthand, but I believe I’ve identified an obedience-shaped void in my life. In writing related to theology, what I have to say is tapering down, but even more than that I want to write in an asymmetrical collaboration of obedience where I am writing under a blessing if I write, and not writing but asking a blessing upon my person if I am not giving a blessing to write. Furthermore, and more poignantly, I’ve been pretty wrong at certain things, and dangerously wrong at that. Part of monasticism that is most repellent to outsiders is that you don’t just confess your sins, but you make a daily confession of all your thoughts to your abbot. I want that. I want to be in a situation where I may still be wrong, perhaps very wrong, but the “wrong” is stopped quickly by an abbot who may see red flags much sooner than I do. And I see monasticism as a sort of ultimate privilege in terms of cleaning house spiritually.

There was one class I remember the professor voicing an existentialist sentiment: “Total liberty is the very worst of prisons.” On a not entirely unrelated note, Aristotle said, “He who teaches himself has a fool for a master.” Political freedoms may be valuable, but they are nothing compared to freedom from one’s sin and one’s passions. The words “May you have all of the wealth in the world and the health with which to spend it” sound pleasant to begin with but they are pure and simple a curse. Being spiritually in such a state is worse than a physical lack of health, and Orthodoxy tries to develop each person as is best for that specific person. It also, like the lighter-grade analog to older spiritual work found in today’s non-directive counseling, stipulates that the spiritual healer is to have no interest or personal benefit in directing a disciple. Binding myself to discipleship is placing myself in the care of a spiritual father whose job description is to help me grow into the greatest freedom there is. And right now I do not know what true freedom is. I am the prisoner and slave of my sins and passions, and a good spiritual father has the keys to unlock that prison. I do not expect every freedom that is available from an abbot. I only expect the one freedom that matters.

Chastity

The chief benefit of celibacy is enumerated by St. Paul. He gives no decisive commandment, but clearly outlines a spiritual advantage to chastity. The married person needs to have a divided attention split between God and spouse. The celibate person is free to have 100% devotion to God.

I might comment briefly that there are three options that can be acceptable, even if it is possible to fail spiritually in all three. The first is marriage, something that is expected of most of the faithful. The second is monasticism, which essentially offers a full complement of spiritual resources meant to entirely maximize the kind of goodness that can stem from celibacy. The third is celibacy outside of monasticism, which is less than ideal but can be appropriate (especially under a theology of failure). I’ve been in the third option and am presently wishing I had joined monasticism ages ago. But I cannot change the past; I can only influence the present and the future, aiming for monasticism and accepting a possibility of failure.

A few details about sexuality:

While I was researching the the holy kiss, I was assigned, among other texts, to read Foucault’s history of sexuality. That’s one reading recommendation I should have dropped faster than a hot potato. The text may not be in any sense sexy, but it does porn-style spiritual damage well enough. However, I wish to pull one minor point and one major point.

The minor point is that understanding another age’s sexuality is an Alice in Wonderland matter. Meaning that before study you don’t understand another world’s sexuality and you are wrong about assumptions you don’t even have.

In the Greek world, appealed to by those who wish to “re-queer” society, the completion of training might well be a consummation between teacher and pupil. We have dirty jokes about “Confucius say secretary not part of furniture until screwed on desk,” but they are “just” dirty jokes, not automatic expectations for practical action. The usual pagan paterfamilias would rape all slaves (male or female didn’t matter much) as an assertion of absolute authority over slaves.

And having said this much, I would like to put one particular point pulled from those dreary books: one pagan philosopher was asked, “How often should I have sex?” and answered, “As often as you wish to deplete your energy.” This is not an absolute interdiction, nor does it suggest Christian ideas of marriage between a man and a woman, but it provides a profound glimpse into a monasticism in which, on the Holy Mountain, there are no women, nor youths who may look too much like a woman’s beauty, and in monasticism there is an exhortation, almost a leitmotif, of “Refrain from embraces.”

Sexuality does not become unimportant in monasticism. It becomes an infinitely sharper peak, and it is transformed to unending desire for God.

Poverty

Years before I joined the Orthodox Church, there was a Sunday school type class, and I walked in really wincing, expecting a secular investment lesson and knowing that the parishioner who would be giving it was a lawyer. To my astonishment the substance of his lesson, illustrated and underscored with stories from his professional experience, was to say that the book of Proverbs hit the nail on the head in everything it said about wealth. The one sentence I remember from that class was, “Endowments aren’t so great.” He asked what it meant to be “independently wealthy,” and clarified that what that really meant was “independent from God”, and state that seeking God’s providence was far better than chasing after more and more wealth.

In my own time I have become more and more skeptical about how much wealth and property give us. My work The Luddite’s Guide to Technology, which I’m a bit disappointed hasn’t received more attention, has as its premise that individual technologies have both upsides and downsides and that the people selling technologies are a whole lot quicker to sell you on the upsides than on downsides that may be terrible but are often not obvious.

Monasticism is in many ways simply living the Gospel, and the Gospel says, “Do not store up treasures on earth.” Monastics take this as straightforward guidance for optimal living. In addition, though I do not know all of what factors into this conclusion, those above my pay grade spiritually seem as quickly to identify monastic poverty with freedom as they are to identify monastic obedience with freedom.

My mother told a story of a friend visiting one of her friends in Puerto Rico. The visitor looked around and said, “You don’t have any food in your pantry.” The hostess said, “No, I don’t, but I will. And why would I need something now? I wouldn’t need God.”

This may be sharper than monastic communities which look after monastics’ needs, but to my knowledge the monastic embrace of poverty is an embrace of God that seeks everything needed from his providence, rather than make an ersatz providence by providing for oneself financially.

I’ll take an educated guess that some monastics view their poverty as having gotten rid of a great many things to worry about. Almost, if vulgarly, as a man saying, “I lost 235 pounds in one weekend!”

A note on historical background

To put something baldly, I believe that the iconoclasm of the Reformation was significantly less guilty than the iconoclasm that was rejected by the Seventh Ecumenical Council.

I remember one time going through Spink’s Catalogue of British Coins, and watching in horror as the Western understanding of symbol disintegrated across the centuries before my eyes. Originally there were simple figures on coins, but nothing seriously attempting photorealism. Then there was a frenzy of detail that created a “gold penny” (the word “penny” does not automatically mean minimal economic value in the world of those who study coins), and then things settled to such more restrained portraits as adorn coins today.

I saw the same horror and the same story as I visited the Cloisters, New York City’s medieval art museum built from bits of monasteries from Europe, and saw the same disintegration across the centuries from icon proper to stronger and stronger (or, if you prefer, stranger and stranger) attempts to be three dimensional until paintings started to morph into being half-statue. All of this was in late medieval Europe, and the situation was what an Evangelical might call “bankrupt” or “spiritually dead.” Some of this I trace in more detail in Lesser Icons: Reflections on Faith, Icons, and Art.

The icons rejected by iconoclasts in the Byzantine Empire at the time were those of full-blooded Orthodox usage, and iconoclasts then were guilty of rejecting the full force of something good. The icons rejected by iconoclasts in the Reformation were “icons” that had been depleted and dead for hundreds of years. If a Reformation iconoclast were to look at the icons around and say, “All those icons should be burned!” one Orthodox response might almost be, “Ok if I bring matches and kindling?”

Something of the same played out in a disintegration of monasticism into proto-University. The Universities we know were started by monks, if later taken over by Renaissance men; monasteries in the West were great centres of learning. Some people have said that after the Great Schism the West got the head and the East got the heart; I have heard an Orthodox parish priest (incidentally, a parish priest with a doctorate) say, “The longest journey we will take is the journey from our head to our heart.” His point is not uniquely monastic, but Orthodox monasticism is very directly intended to help those of us who are too much in our heads to reach our hearts.

The difference between Eastern and Western monasticism came to a head in the dispute between St. Gregory Palamas and the Renaissance man Barlaam. The conclusion reached by the Church, even without an ecumenical council, was that St. Gregory was defending Orthodoxy in what he held, and Barlaam was importing a heresy. I do not claim that Barlaam spoke for the entire Western fashion, nor do I deny the near-certain presence continuities between Western monastic practice and Eastern hesychastic prayer. However, I do assert that Barlaam represented something that was in the mainstream range of Western monasticism and broader trends.

What did Barlaam teach, some readers may want to know. In a nutshell, it was the Renaissance ideal. The answer I would give is, “Something like the liberal arts ideal today,” the cultured liberal arts ideal in so many Christian-founded colleges whose apostasy from any sense of Christianity is documented in The Dying of the Light, in a pattern that sheds unflattering light on how effective it is to found a Christian university. Barlaam taught, like a good Renaissance man, that the noblest exercise of human dignity was to reason and philosophize about God. St. Gregory taught that the noblest exercise of human dignity was to behold the uncreated Light of God and directly experience God. Barlaam wanted monastics to be educated and cultured. St. Gregory wanted monks to prayerfully contemplate inner stillness; Barlaam gave the pejorative term “navel-gazing” for one specific way some people have taught stillness. St. Gregory wanted monasticism to remain what it had always been; Barlaam wanted monasticism to adapt to features of what was then in vogue in the broader European cultures.

One interstitial note as I have at least hinted at Orthodox wariness towards the Blessed Augustine: he is essentially a Church Father as an Evangelical who would conceive of a Church Father. He reasons philosophically about God, and constantly references Scripture. Evangelicals may object to the Renaissance, but the Renaissance and Reformation are tangled with each other more than one might, and Barlaam’s approach is not irrelevant to Evangelicalism. The Blessed Augustine is an astute philosopher and his analysis has layers of depth, but he doesn’t have St. Gregory’s strengths. That stated, there are also Church Fathers as a Church Father would conceive of a Church Father. St. Maximos Confessor readily comes to mind, although he’s not the easiest author to cut your teeth on. St. John Chrysostom wrote dozens of volumes, too many for most people to really read, but he is an eminently clear communicator.

At this point I am ready to make some comments about Martin Luther that wouldn’t have made much sense earlier. Martin Luther took a vow of celibacy and then had the most prodigious exploits of a man who cannot keep his willy where it belongs. Alongside Reformers destroying icons were Reformers “liberating” monastics, many of whom served Luther’s pleasures. (It has been said that Luther’s doctrine of the “bondage of the will” is not something you get by reading the Bible, but a theological rationalization that absolved Luther of guilt for his exploits.) This much is not in dispute historically; it’s just something his Protestant successors are not eager to divulge. (A study of Luther’s incontinence provides the concluding chapter for Degenerate Moderns.)

The Reformers attacked what remained of holy icons, and what remained of holy monasticism. We don’t quite have 100% conformity here, as there have been (and are) Anglican monastics, the famous Taizé monastery in France, and perhaps others, but there have also been Mennonites who want to have icons. There remain pockets in Protestantism of almost everything the Reformers ever attacked. None the less, monasticism was a healthy bedrock in the east, then started to become shifting sand in the West, and then for entirely understandable reasons, as understandable as initial Protestant iconoclasm, the Reformers saw monasticism as simply not helpful.

My point in mentioning this offensive point is to say that certain things in Orthodoxy are not something that Protestants have weighed in the balance and found wanting but something not encountered in the first place, and furthermore that the oddities of a Roman Church after half a millennium’s separation from Eastern Orthodoxy in fact do not speak for Orthodoxy, no matter how strong the subtle temptation fill in understanding of bottom-up Orthodoxy with top-down Roman assumptions. Monasticism in the Orthodox Church is an Alice in Wonderland matter for Protestants.

Repentance

I wrote, Repentance, Heaven’s Best-Kept Secret, and I almost wish I hadn’t.

Repentance, Heaven’s Best-Kept Secret argues that repentance is often a gateway to a completely unexpected and unsought joy.

However true that may be, the real reward for repentance is not a pleasant mood. The real reward, and the reward one should seek most of all, is then untangling and straightening out of one’s tangled and sinful soul, and being in a better condition spiritually.

(And by the way, there is nothing mercenary whatsoever about repentance out of the hope of being in a better condition spiritually, and gaining more virtue and being cleansed of more sin. Those are right and proper things one should be seeking as rewards for repentance.)

Repentance is foundational to monasticism, enough so that monasticism is spoken of as repentance. In my partially informed opinion, there may be a case to be made that repentance is more basic or essential to monasticism than even the vows of poverty, obedience, and chastity; and that poverty, obedience, and chastity provide a structure or shelter in which the real work of repentance can grow.

And repentance, and live spiritual life after awakenings of repentance, may be the core reality of why monasticism is the supreme condition of privilege within the Orthodox Church. It is a strong medicine for spiritual health, and I believe it may eclipse even poverty, obedience, and chastity, however cardinally important each one may be.

A Utopia that works

I remember one class, years back, where the professor summarized a Utopian ideal that called for (among other things) turning the oceans to sweet lemonade as “a Utopia of spoiled children.” And there seem to be a lot of Utopian visions that end up as Utopias of spoiled children.

I’m not current on Utopian visions from feminists (or, if you would rather put it this way, every feminist author and more that I have read in my studies offers some highly unstable Utopian vision), but Utopian visions by men, without such a restraining hand, call for men to have free and easy access to essentially as many women as they wanted. Not, perhaps, that this is a new feature to the Western form of life of Utopian visions; many pre-Christian giants were polygamists and the Solomon who asked for wisdom and left us three books of the Bible lost his salvation after his prolific efforts in this field. I’ve read, if only in summary form, of a text suggesting that men are capable of great extraneity, summarized some of the people and objects men have used for sexual pleasure, and concludes that a man who reaches a successful marriage does so by a great deal of restraint and discipline, and not by simply laying the reins of male desire on the horse’s neck. And even more offensively, the text suggests that gay men are largely capable of straight marriage, have often tasted heterosexual pleasure, and suggests that the level of discipline for a gay man to have a successful marriage to a woman is really not by leaps and bounds greater than the discipline required of a straight man. (If I recall correctly, the author was not straight. He just chose not to be ruled by base desire.)

Stranger in a Strange Land‘s Utopian vision has a fatherly Jubal and a main hero male readers should identify with who is some sort of superman with a harem of four (or more) women who all worship him and never seem to make real demands or have real needs. (The living situation reminds of one book, by a counselor a good deal to the left of me, who said that as a counselor in California he has seen people in every living situation you could think of and probably some you couldn’t think, and the more he has seen other living situations work out in practice, the more he thinks God’s rules are meant to help us and not to harm us.) And the grounds of Heinlein’s Utopian living situation places his Utopia as a Utopia of spoiled children where boys do not grow into proper men. I would suggest that the Orthodox concept of marriage is fundamentally more interesting. It calls for something the hero never reaches, at least not before provoking martyrdom. It calls for men (and women) to grow up and act as adults. It calls for self-transcendence

The tale of Saints Peter and Fevronia mentioned earlier has one brief segment where Saints Peter and Fevronia are sailing on a boat, and the man handling the boat starts looking at Saint Fevronia and having ideas. Saint Fevronia tells him to take a bowl and dip it in the water by one side of the boat, and taste the water, and then dip it in the water on the other side and taste it. She asks him if the water tastes the same or different as drawn from the two sides. He says that they both taste the same. She says then, “So it is with women,” and asks why he is thinking of her when he has a wife who is just as much a woman. St. John Chrysostom, in decrying a theatre that was largely that day’s version of internet porn, or at least awfully uncensored, constantly spoke of theatre that insulted the shared nature of women. There is a tremendous good that is possible in a man being married to one and only one wife. Is there really more good to obtained from more women? Or do you wish to go to the gas station and spill ten or fifteen gallons of gas on the ground because you keep on pumping twice as much gas as your tank will hold?

Monasticism offers a Utopia for mature adults. Stranger in a Strange land lays the reins on the horse’s neck. Monasticism reins things in further and offers a path that is even more a challenge to grow to adulthood. Not that it is a denial of sexual desire; no monastic literature I’ve read assumes monastics are sexless (most seem to assume monks have plenty of hormones to cope with), and the choice made is to provide a supportive environment to restrain sexual desire and then lead sexual passions, among others, to ultimately be transfigured if it is a successful monastic vocation.

Utopias seem to not work out much as perpetual motion machines do not keep working. Perpetual motion machines are attempted out of confusion about basic physical realities, and Utopias are attempted out of confusion about basic spiritual realities. But monasticism is that odd gem of a Utopia that works.

Becoming a true member of this Utopia, if I succeed, will probably be the hardest thing I ever do, but it is the best choice I can make.

(Want to support me financially?)

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Eight-Year-Old Boy Diagnosed With Machiavellian Syndrome By Proxy (MSBP)

Satire / Humor Warning:

As the author, I have been told I have a very subtle sense of humor.

This page is a work of satire, inspired by the likes of The Onion and early incarnations of The Onion Dome.

It is not real news.

Read it on Kindle for $4!

Eight-year-old Uriah Hittite is an African-American boy with a disturbing history. He has been found guilty of single-handed, extended, and wasteful manipulations and draining government resources at a scale comparable to a large and coordinated /b/tard trolling attack.

Like a polished con artist, Hittite manipulated others so deftly they never guessed the bomb he was about to drop. He was reported to be outgoing, friendly and vigorous in physical activity. Neither friends, nor family, nor all the regular doctor visits showed the faintest problem.

Then, shortly after he turned five, he was administered a safe and routine second MMR vaccination, and only then did he tip his hand. And wow, did Hittite pull a surprise!

At first it started as a tiny trickle; he feigned such ordinary sickness as most healthy children do; his birth parents gave him a few days’ bed rest in the hopes that that would clear things out. Instead, he started acting worse and worse, to his birth parents’ complete bewilderment. Besides remaining symptoms of sickness, he drew into a shell, and his speech became much clumsier. While his birth parents were of limited means and not insured, they did what they should have done immediately and took him to the shelter of a local hospital’s emergency room.

The emergency room staff far too trustingly fell to Hittite’s deceit, and ran usual tests that failed to produce a medical explanation. Psychiatric staff, experienced as they were, were taken in too. His birth parents continued to foolishly request tests and all but appoint themselves as their little Uriah’s own doctors when it became evident that none of the MD’s was providing any sort of explanation.

When the birth parents failed to improve the matter, one of the doctors suggested that a change of scenery, without the birth parents’ dubious expenses. The birth parents consented to a brief and provisional custody.

Once inside better custody, external settings were better and he received the benefit of highly skilled cult deprogrammers who helped free him of certain needlessly constricting beliefs. This was done at great expense to the State, as deprogramming is difficult enough with grown adults of adequate intelligence, and he refused to communicate even at the level of a boy of his calendar age. It was decided to extend the custody indefinitely.

Finally a diagnostician was willing to call a spade a spade, and identify a classic case of Machiavellian Syndrome by Proxy (MSBP). There was nothing wrong with Hittite physically; he just had a master plan to squander and drain the states’ resources. However, with the laws presently in force, you are not allowed to unplug a useless eater. He remains a ward of state, in bed for twenty-three hours each day, not talking with anyone. The total amount he has drained state coffers is in the millions, not counting the expenses of quieting his former parents’ inappropriate efforts to regain contact with their former child.

There ought to be a law against demonstrating Machiavellian Symptom by Proxy (MSBP) like this!

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An Open Letter to OTHER Link Prospectors

Dear Other Link Prospectors;

I run a major website at CJSHayward.com. It is a collection of my creative works and has increasingly been focused on Orthodox theology. Suggested starting points include Doxology and The Angelic Letters. Most of what I’ve written for reading (as opposed to e.g. open source software or artwork) is available collected in this seven volume set.

I’ve gotten the occasional fan (e)mail, but I have never had a fan or visitor be generically impressed with everything on my website. I’ve only had one visitor claim to have read everything for that matter. People who just like my work tend to give some specific compliment or thanks for some of the specific content on my site. Usually people who write fan mail are more than happy to explain what, specifically, makes them happy my site is available to them.

For that matter, I’ve gotten flames, and the flames in general are quite obviously written in response for some specific posting or element on my site. No one really seems to call me nasty things without some specific statement about how work on my site fully justifies the claim.

If you try to obtain a one-way backlink from my site without bothering to find out what my site is about and what some of my works are, you are failing to show me a courtesy readily shown by most haters. Please do not be offended if I regard your contact as spam and it is reported as spam.

A “Hall of Shame” example

I’ve gotten various link prospecting emails that in generic terms could be sent to the owners of almost any website. The most recent example of a particularly objectionable link prospecting emails is,

Subject: Thank you

Dear CJS Hayward,

Although, it is generally not in my nature to “cold-contact” people I don’t know, nonetheless, I wanted to offer you my gratitude for the writings you have shared on your website. They have gotten me through some very hard days. As way of saying “thank-you”, and not being at this time to make any purchases of your products, following are three website links related to one of your current posts, that I thought you may find useful. They are:

http://arachnoid.com/
(Psychology – Located on the sidebar of homepage)

http://www.hoagiesgifted.org/
(Geared towards parents of gifted children, but may be useful as a general resource)

[URL deleted]
(Fr. [name deleted], of the Anglican Catholic Church – His perspective on similar psychological and theological topics)

I apologize in advance if these links are not useful to you. As I said, they are a humble offering in appreciation for what you have freely shared.

Thank you again,

Bryan W.

I believed what it said for a short while. I started to write a thank-you note, and then when I thought things through, I was horrified.

The first point, if a subtle one, is that like many sites on the website, my contact page contains a direct and explicit request of people contacting me: that they put “To the author” in their email subject so it gets fished out of my spam folder if need be. This is not meant as a hoop to jump through, but I ask it and the feedback form and email link on my site have a “To the author” baked right in. This provided a crystal-clear red flag that however much he may have wished for resharing, it didn’t translate into respecting simple instructions. (That much, by the way, offers a useful filter, and if you are working on triaging your own incoming link prospect requests, you might include some simple and very clearly stated request on your contact page.)

The second point is that the first paragraph does not reference anything specific. Now my website does have several works intended to offer strength and comfort to people in hard times; The Best Things in Life are Free comes readily to mind. However, while some of my work has been received respectfully, this is the first report I’ve heard that they’ve helped someone quite that much. They don’t deserve sole credit. I think they’re good and worth reading, but I think that anyone who really benefitted from them would be benefitting from several other supports too. But I may be being too picky here; it is common practice to exaggerate some compliments so I don’t want to be too legalistic.

The first psychology link left me mystified; I do not consider psychology to be a particularly active interest, and I follow my advisor in regarding psychology to be a sort of leftover that stayed around during and after a process of secularization in the West. Or maybe that’s a strong way of putting it, but one post about Theory of Alien Minds: A UX Copernican Shift does not make me a credentialed psychologist nor does it make psychology a primary interest.

The second link left me mystified as regards approaching giftedness; you don’t really tell gifted parents to go to Hoagie’s Gifted almost like how you don’t really tell web users to go to Google to find things out. Apart from my retaining the spammer’s mention of Hoagie’s Gifted in this posting, the only real reason I would see myself telling someone about that site would be if I got an “out of the blue” email from a parent whose child was identified as gifted and the parents want a roadmap.

The third link is the cultural equivalent of saying, “You’re from Japan? Say something in Chinese!” It made me profoundly uncomfortable, and there is a profound difference between Eastern Orthodoxy and Anglican “Catholics”, and I was much more uncomfortable with that contact than I usually am either with mainstream Romans or mainstream Anglicans. I wanted to send the spammer a link to my reply to those Greek Catholic T-shirts that say, “Orthodox Christian in Communion with Rome,” a T-shirt that says, “Roman Catholic in Communion with the Archdruid of Canterbury”. (I restrained myself.)

And by the way, that wasn’t really three links the sender equally wanted me to see. It was two links of window dressing and one link of payload. This was part of multiple aspects of guile in this post. It was made to give the impression of having received a great benefit, without mentioning anything in particular, and it presented the three links as a thank-you when they were, in fact, there to do the job of link acquisition. Upon reflection, I believe the email was sent in the optimistic hopes that I was born yesterday.

And the last thing I’ll mention is that it is admittedly current practice to avoid the word “link” in link prospecting emails and more generically speak of sharing and passing on even though what you want most is a link. That at least might be appropriate, but the goal of this email is to obtain a white-hat one-way backlink, and there was a lot of guile and feigned respect. Sorry, no.

I am, as a site owner, willing to give links, including white-hat one-way backlinks. However, if you want something that big from me, your due diligence is to communicate honestly, research my site enough that you have some idea of its marketing proposition and some examples of its content, and if your site is a religious site, read the sharply written An Open Letter to Catholics on Orthodoxy and Ecumenism, and needless to repeat, respect the clear instructions on my contact page. Guile is one of several ways you can get reported for spam.

Owners of other high-quality sites might appreciate similar considerations.

Thanks,
CJS Hayward

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HINT: None of these works are works intended to offer additional advice or insight about link prospecting. All of the works are the sort of thing you should be exploring if you think I might want to give you a free, white-hat one-way backlink. And the same consideration applies to every single site you are approaching for a free, white-hat one-way backlink.

Spaghetti Parenthesis Visualizer

CJSH.name/spaghetti

Set of opening characters, i.e. ‘{(‘ or ‘{[(‘: .
Set of closing characters, i.e. ‘)}’ or ‘)]}’: .
Preserve line breaks.

Your code, unfurled:

(Nothing yet.)

Your code, underlined:

(Nothing yet.)

Having trouble trying to keep track of nested parentheses in a page-long SQL query or PHP/Perl/Python etc. conditionals? Type or paste in code you have that has so many layers of parenthesis that you struggle to keep on top of the tangled depth of the code.

Security-conscious? This code doesn’t send your code snippet to the server: all calculations are handled in the browser. However, if you want that extra level of assurance, you are welcome to capture the source and make sure everything’s on the up-and-up before you use it. This code is dual-licensed, available to you under your choice of the terms of MIT and GPLv3 license.

This page is link-ware. If you like it, you are invited to put a link to CJSHayward.com.

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Book Review: A New Face on an Old Ecumenism (The Orthodox Dilemma Second Edition : Personal Reflections on Global Pan-Orthodox Christian Conciliar Unity)

I write with some sadness as provided a courtesy review copy, and as having my consent to include a quote. (Normally, when another author asks my permission to include a quote, I don’t judge on basis of concluding agreement or disagreement; I am thankful for the publicity, and in particular thankful for the other author’s good manners, especially in a case like this where the quote in question falls well within limits of fair use.)

I wanted to read the book through, since beside the author’s generosity, I’d want to be very sure before questioning a book that gets consistent five star reviews, but at least in the first quarter or so of the text I have yet to find any intimation that there is any legitimate anathema, or legitimate barrier to intercommunion, between the Orthodox Churches as presented for the sake of the text: Eastern Orthodox, Oriental Orthodox, Old Believer, various autonomous churches, and so on. And no distinction is made between the Russian Orthodox Church and the Russian Orthodox Autonomous church, besides a basic position that only confusion and perhaps past sins or historical accident that stops the Russian Orthodox Church from recognizing the Russian Orthodox Autonomous church as equal jurisdictions that should be in full communion without any of the Orthodox Church’s proper reconciliation of heretics and schismatics.

The author mentions a number of unfortunate experiences; I’ve had some unfortunate experiences, too. I, to, have been educated at a Roman Catholic university, or at least an academic environment that continued to draw inspiration from its Jesuit heritage. And there at least seems to be one difference between East and West; I had one Professor in formal communion with Rome say that she believed in Tradition, but she explicitly placed Arius alongside St. Athanasius as equal and proper representatives of Tradition. While the Roman communion has its own fractured communities of traditionalists, the live threat in Rome is their Left Coast which involves churches of Jesus, Buddha, and Socrates, and at times can be difficult to distinguish from New Age; it is my experience that when Romans wax eloquent about “the spirit of Vatican II” it is provocative to say “The spirit of Vatican II is in the letter” (Avery Cardinal Dulles, class session), and the best thing to do is run for the hills.

With Orthodoxy it is different. Orthodoxy does have a left, and it has confused Orthodox Christians into believing that contraception is fine as long as you follow a few ground rules. However, the real concern in Orthodoxy is the Orthodox Right Coast, which has Fr. Seraphim (Rose)’s quite astonishing following (check out the one-star reviews!), which are unlike anything else I’ve received as an author. (When someone speaks of “Blessed Seraphim Rose” I’ve had real trouble telling whether the other person is a member of the canonical Orthodox Church.) To clarify regarding Mr. Alexander’s treatment of the matter, I do not lump all the communities he mentions as being under the Right Coast, but only some of them. I have no reason to believe, and this book gives me no reason to believe, that non-Ephesians and non-Chalcedonians are particularly given to legalism, nor Right Coast passions that despise oikonomia and mercy, nor regard themselves as much too Orthodox to be in communion with the canonical Church. The Orthodox Church’s table is piled high, and there has always been room at the table: for True and Autonomous “Orthodox”, for Old Believers (some of whom are already in), for Oriental Orthodox, for Western Christians and for people not Christian even in pretension: there is room for all those who will be reconciled, individually or in groups, as schismatics or as heretics, if only they will be received as full members of the Orthodox Church only, and on the Church’s terms.

With all that stated, let me begin with what I thought would be my point of departure.


There is a Utopia on earth, I have been there or at least within walking distance of this Utopia, and come to think of it, seeing Utopia wasn’t a memorable experience at all.

If you wish to pull up Google Maps, and search for “Utopia, IL”, you will find Utopia pinpointed in a Chicago suburb (Oakbrook Terrace), and Google helpfully shows an uninspired picture of the Jiffy Lube at Utopia. I haven’t had the time to research the matter, but there are on present-day U.S. soil the graveyards of a number of attempts of a Nordic country (if memory corrects me, Sweden), to colonize North America and resurrect timeless, ancient Nordic values. There were some things that were remarkably consistent across attempts. There was the reconstruction effort, and there was the daunting endeavor of actually going to New World soil and making a live colony. However, the actual timeless values the whole enterprise hinged on were highly inconsistent. Varying somewhat by the decade, the overall impression of scholarship that may not have reached beyond a Wikipedia article is that these timeless, pristine values were something like an ink blot test in a proverbial Freudian counseling session (note that I have no idea if inkblot tests are practiced any more). The point of asking a patient what was seen in quintessentially ambiguous “pictures” was understood as informing the psychologist of nothing about the “pictures” and everything about the patient. I had not heard of these Utopian movements, nor known that the house I grew up in was such a short drive from Utopia (if in fact this Utopia was of Nordic origin), when I wrote “Exotic Golden Ages and Restoring Harmony With Nature: Anatomy of a Passion” in “The Best of Jonathan’s Corner”, but it would have fit naturally enough. The key downwind effect of the inkblot attempt that, in an attempt to reconstruct past glory, the effect is to sever ties to the recent past and the further-back past as well.

A second case in point, studied in “Exotic Golden Ages and Restoring Harmony With Nature: Anatomy of a Passion” in “The Best of Jonathan’s Corner”, has to do with the plain meaning of Scripture in the Protestant Reformation. Now Protestants never invented the idea that Scripture is foundational to the point of being bedrock. Whether in Luther’s Sola Scripture, or Roman discussions of Scripture and Tradition, or Vladyka KALLISTOS writing that Scripture is not separate from Tradition but the greatest thing in Tradition (I don’t know exactly where non-Ephesians or non-Chalcedonians stand but I would be astonished to find either tradition holding Scripture to be anything less than cardinally important), you can’t escape a sense that the Bible is important, except for the lukewarm and the Left Coasts. However, if it is not decisively interpret by a Tradition (whether non-Left-Coast Rome, Eastern Orthodoxy, Oriental Orthodoxy, or for that matter Orthodoxy’s Right Coast), seeing for yourself the plain sense of Scripture is the bedrock to there being myriads of Protestant denominations. Even in the Reformation’s better moments, people who were devoted to Christianity as guided by the plain sense of Scripture found time and time again that they could not stay under the same doctrinal house. As a Protestant then (now chrismated Orthodox and received under the rubric of receiving a reconciled heretic, a route I endorse for others as well), my Political Science professor at Calvin, who was Protestant enough, said that “Every man his own Pope” doesn’t work. The Bible may invaluable and it may have layers more to it than the Reformation would have liked, and if I may delicately say so, the Orthodox Church keeps a great more of even the 66 book Protestant canon than the “plain sense” Reformation exegetes will acknowledge in Scripture. But the plain sense of Scripture, denuded of protecting Tradition, is halfway to being an inkblot.

The proof of this, if anything, is in Reformation ecclesiology and the Invisible Church, a doctrine I found myself totally unable to derive from the Bible when I was Protestant (and remain unable as Orthodox to do the same). The Invisible Church is essentially a doctrine that once the Reformation logic’s practical effects work out and there are innumerable schisms (“denomination” being a neutral-sounding euphemism for something the Reformers themselves knew was entirely abhorrent), God placed some sort of invisible duct tape across true Christians regardless of fracture, and that duct-taped, invisible retcon was in fact what had been hitherto understood by the visible Church, an understanding shared by Romans, Eastern Orthodox, and Oriental Orthodox, and for that matter by the first Reformers until the claim of “My little fragment is the true Church” claimed by dozens of voices could no longer really be taken seriously.

That set the scene for ecumenism as we now know it. I know relatively little of the history of ecumenism, and I have read one scholarly work suggesting that Protestant missionaries in other lands than their own interacted with each other and realized they were separated without clearly understanding why, but in any case that was the reality that defined a great deal of the contours of the category we now know of ecumenism. Originally, ecumenism did not address Romans, let alone Eastern or Oriental Orthodox; the metaphor of a virtual supercomputer composed of numerous coordinated individual personal computers is obviously of more recent vintage than ecumenism itself, but it is faithful to the nature of ecumenism. It is an alternative to saying, “Being in schism like this is sin,” and bespeaks an ecclesiology that does not condemn the Reformation collection of schisms, or tries to transcend them while keeping them in place. (Note that this explanation leaves out a good deal.) It also might be pointed out, less delicately, that this doctrine is a Tradition which has priority over Scripture and simply trumps its plain sense on at least one point. Perhaps it is not the most interesting such Tradition: but it is one.

I grew up Protestant, and ecumenism was to me like mother’s milk. It was, for that matter, ecumenism that helped lead me to the Orthodox Church (and yes, the Lord does work in mysterious ways). It was bedrock to me that if you cared about Christian unity, ecumenism was the clay you should be shaping. And I encountered the claim, strange to me as it seemed, that Rome was not one more denomination and her claim was in fact something more to being one more division lumped into the duct tape.

But what was stranger was what I encountered as Roman ecumenism years later, having repented of my ecumenism as my priest and sponsor slowly worked with stubborn me over time. At first I assumed that Roman ecumenism was simply Rome saying, “You’re right; I agree” to Protestant ecumenism. But that was not in fact the case. Roman ecumenism really and truly is an ecumenism and an incorporation deriving from Protestant ecclesiology. But it is adapted, if disturbingly superficially. I haven’t heard the term “Invisible Church” in Roman usage, but the basic idea is there are several more-or-less equivalent communions (“particular Churches”, a phrase which seems to change meaning with each Pope, but basically conveying true Church status while being wounded by failure to participate in Roman communions), so that the “Invisible Church” (or whatever they call or refrain from calling it) is not out of Baptists, Mennonites, or Lutherans, but is out of “historic Churches”, meaning not only Rome but Eastern Orthodox, non-Chalcedonians, non-Ephesians, and any other continuing ancient community I’ve missed. These have more or less de facto the status of individual Protestant denominations under the original Protestant ecclesiology, and I remember the flame I got when a Roman priest made an ecumenical overture that he claimed to be “sensitive to Orthodox concerns” (with zero recognition that ecumenism is a sensitive concern to some Orthodox; he used pretty strong language and implied that he was closer to the heart of Orthodoxy than I was). “An Open Letter to Catholics on Orthodoxy and Ecumenism” in “The Best of Jonathan’s Corner” had been my reply. Roman ecumenism may have Protestantism somewhere in its sights, but the basic framing is that historic Churches are insiders who should restore communion without reconciliation, on the terms Protestant ecumenism would have it, while inclusion of Protestants may be desirable but they are outsiders to the family of historic Churches.

(I might comment briefly that I do not think it is right to regard Oriental Orthodox communions as being like Protestant denominations. There are a small number of primary non-Eastern Orthodox communions, and in fact some of them like Novatians are treated with some sympathy in canon law. After the original break over a millennium ago, I am not aware of further fractures within the communities then established or having most adherents belong to a splinter. However, I do not accord this status to the Orthodox Right Coast or various groups that want to call themselves Orthodox without submitting to canonical communion.)

Having looked at the original ecumenism as invented by Protestants, and its alien transplantation into Rome, I would now like to look at this book’s transplantation of ecumenism into Oriental Orthodoxy and proposed to Eastern Orthodox to make our own as well. The book’s basic proposition is essentially that all the communities claiming to be Orthodox should restore intercommunion without, as understood by Rome’s historic Churches, a full and proper reconciliation. (And on the “There’s room at the table” theme, I might remind you that the Evangelical Orthodox Church was received into the Orthodox Church as reconciled to become canonical. And I’d love to see other groups join them as well.) The only ecclesiastical body with “Orthodox” in its name that I am aware of that Mr. Alexander does not seek to include in Orthodox intercommunion is the Orthodox Presbyterian Church, which was formed after one Presbyterian denomination (Politically Correct, USA?) knowingly ordained a candidate who did not believe that Jesus was the Son of God, and my uncle and other pastors split off so they could still be named Presbyterian while considering the deity of Christ to remain absolutely beyond question.. (I answered an Orthodox Presbyterian DMin graduate from an Orthodox seminary in “An Orthodox Looks at a Calvinist Looking at Orthodoxy”, in “The Best of Jonathan’s Corner”.) The Orthodox Presbyterian claim is to be able to say the Creed without crossing one’s fingers (or at least not translating anything except for the line about the Church), not any sort of claim to be of Eastern provenance. But Mr. Alexander does want to include others who call themselves Orthodox and put Orthodox in their name but do not seek to submit to Orthodox communion, including the (Anglican-based) African Orthodox Church as much as the Russian Orthodox Church or the Russian Orthodox Autonomous church.

The Eastern Orthodox Church can and in every sense should show welcome and hospitality to visitors of any confession and no confession at all, and baptize / chrismate and include in full communion those who (like my respected second advisor at Cambridge) are Copts and want to become members of the Eastern Orthodox Church. However, there is a wide consensus among many Orthodox I respect, not only that good fences make good neighbors, but that ecumenism, of which Mr. Alexander offers a new permutation, is the ecclesiological heresy of our age.

I’m not sure if Mr. Alexander dealt with the Orthodox Right Coast; even his hardships suggest innocence as to how the Right Coast can and often does treat outsiders to it. But I remember years back, when I was trying to get some basic bearings, asked a sharp friend why people who separate themselves from the Orthodox Church in schism develop legalistic passion. He gently suggested I had the order reversed: first comes the passion, then comes the separation. In terms of how passion goes, there are limited options for how the Right Coast can act in anger against the canonical Church and still preserve the self-illusion of being purer. None of the Left Coast axes appear adequate; you can attack the Orthodox Church for not having women priests, but that doesn’t cut it. The same goes for advocating for sexual libertinism. You can wield either Left Coast axe but it won’t give you the illusion of being super-Orthodox.

Pretty much your only live option with the hand Orthodoxy has dealt you is to be super-Orthodox by indicting the Orthodox Church is indicting the Church for overly lax observation of canons. Now ancient canons are all there for a reason, but proper application of canons employs both akgravia (the principle of strict excellence) and oikonomia (the principle of love). Any good bishop, or possibly priest, will govern out of understanding canon law as a whole and trying to strike the right balance between the two principles. As a consequence, any good priest or bishop will show a great deal of laxity in at least some part of the overall picture of applying ancient canons. All the canons are there for a reason, and there are consequences when a canon is too loosely interpreted. And the one option to appear super-Orthodox, at least to yourself, is to blast the Church for overly lax observation of canon X in situation Y. That defines the contour for your sins.

My suspicion, strange as it may sound, is that the Russian Orthodox Autonomous church would bristle much more at instant and artificial intercommunion with the Russian Orthodox Church than the Russian Orthodox Church would.

One parish friend made a comment that he would like to have an anathema service, a particular service in which propositions the Orthodox Church has anathematized are in fact answered with one word: “Anathema!” I do not mean to state that no anathema or broken communion could ever arise from misunderstanding or, more pointedly, sin. For me to make that claim across all Church history would be quite a claim and it would be in excess of my authority as nothing more than a layman. However, the opposite error of assuming that every anathema or breach in communion should simply be stepped over is equally and stunning of an assertion. In the part I read before I really gave up, I did not see a single analysis reaching a responsible conclusion that even one single anathema or breach in communion may safely be brushed aside. The argument, such as it went, was not to go over any of the fences in detail, but make brief assertions out of a presupposition that anathemas and closed communion (at least between what Rome calls “historic Churches”) are insubstantial, not really speaking to us today, and resulting from confusion or sin rather than anything binding.

The author has put his heart in this, a point which is evident on almost every page. His sincerity is not up for grabs, nor his goodwill, and I wince at the pain he will have reading this. None the less, I say that ecumenism is the Left Coast ecclesiological heresy of our age, I have seen two and now three basic permutations, and its chief audience among canonical Orthodox should be those concerned with Orthodoxy and heterodoxy.

With Much Regret,
CJS Hayward
Author, The Seraphinians: “Blessed Seraphim Rose” and His Axe-Wielding Western Converts, The Best of Jonathan’s Corner

Bracing for the Digital Dark Ages

A journey to find eternal treasure

I am trying to reach the Holy Mountain and become a monk. I do not know that I will get there, but I am trying.

I expect that if I do arrive and God in his mercy grants my desires, I will be in a place with accommodations so Luddite that hot running water is not available. Whether I may have heating or cooling is unknown to me, although a common monastic preference is to try to avoid both. I will likely be one of very few English speakers around, and for all I know I may be the only American in my monastery. As a novice I will have people deliberately set out to strike my feelings, and above the confession that precedes Holy Communion in Holy Russia, I will be expected to tell my abbot all my thoughts every day.

And please understand that I am saying this neither in the hopes of receiving your admiration nor your pity. Quite simply, these are the terms of the highest privilege the Orthodox Church has to offer.

I yearn for all of this and pray that I may be strong enough, although that is not my point here.

A note on continuity

My point is about continuity of service from the website you are visiting now. I am trying to make arrangements so that my website, and electronic and paper books, will remain available without disruption. However, I do not see why an abbot would necessarily reconnect me to the Internet, or whatever exists then, before my website is long gone. Abbots may come to surprise monks again and again; it would be disappointing if they didn’t. But whether I remain a blogger after becoming a monk is well outside my knowledge now, and furthermore not my concern, not if I have the faintest desire of becoming a monk.

Apart from my own spiritual path, there is the question of the materials on this site being available in a historical setting when at least one of my friends talk about the Digital Dark Ages, and techs have already said you should print out the photos you want to be able to keep, and we are decades past the point where technologically sophisticated museum curators have warned that they have information on computers in their museum, and they believe the information to be intact, but the knowhow and technology to actually access that information is already lost and gone forever. The second most Luddite warning about technology I’ve heard comes from computer programmer folklore: “If builders built buildings the way programmers write programs, the first woodpecker that came along would destroy civilization.” (The first most Luddite statement is from the Sermon on the Mount: “Do not store up treasures on earth.”)

Everything I’ve written that’s worth reading is presently available on Amazon, and for that matter a good bit that isn’t. The Bible says something about “Put not your trust in princes,” and I do not regard my arrangement with Amazon as a permanent arrangement. Already in the Nazification of today’s world we have reached a point where you can freely buy and sell Nazi memorabilia on Amazon, but Amazon dropped the Confederate flag faster than a hot potato without a single voice of the left crying out, “Censorship!” I see no reason why, ultimately, Amazon need be squeamish about lumping my work together with the flag of the Confederate States of America as abominations unfit for the present world.

I have tried to systematically collect my works into print form; the result of that is “The Complete Works” (Kindle, $3), with paperback volumes one, two, three, four, five, six, and seven ($20 each); also, The Seraphinians ($7) and the Classic Orthodox Bible ($25 paperback, $7 Kindle). As far as my own opinions about what is worth reading goes, as a rule of thumb, the collections I’ve considered worth keeping are more or less the ones I’ve taken the effort to make both a paperback and a Kindle edition. The work I consider the flagship of all the books I have to sell, and the one essential volume, is the flagship collection in The Best of Jonathan’s Corner ($25 paperback, $3 Kindle).

Thank you for any purchases.

Tong Fior Blackbelt: The Martial Art of Joyous Conflict

One brief note

I was not happy with this when it was new, and think that something in it still isn’t quite right. However, I still think there is much in it that’s worth reading.

As a child of perhaps ten, I told friends that I was going to make a martial art, made up a name that sounded Asian to me (“Tong Fior”), and got into an argument about it with a classmate (nowhere near physical blows). The preferred term for this in the academy is the highly abrasive term “Orientalism,” although the better tempered anthropologists would regard it as the normal and natural contact when any one culture starts to meet another, and is really the same Orientalism by which the nationalistic Independence Day movie enjoyed tremendous popularity well outside of U.S. political borders. In the one kind of Orientalism, there are people in the West who want to be some romanticized image of the East; in the other there are people in the East who want to be some romanticized image of the West. I have difficulty finding much of any real difference between these instances of “diffusion” as the term is understood in an anthropology department.

And as is illustrated below, as Proverbs says, “Trust in the Lord with all your heart” is mysteriously tied to the Lord granting the desires of your heart, and sometimes in the oddest ways.

Obligatory quotation from G.K. Chesterton

G.K. Chesterton, in a passage that is politically incorrect enough today, wrote,

I am told that the Japanese method of wrestling consists not suddenly of pressing, but of suddenly giving way. This is one of my many reasons for disliking the Japanese civilization. To use surrender as a weapon is in the very worst spirit of the East. But there is no force so hard to defeat as the force which is easy enough for conquer; the force that always yields and then returns.

But hold that thought for a second, and I speak as a fan of the Land of the Rising Sun for ages. (And not just for that one single Google AdWords ad impression that changed eBay’s AdWords presence forever: “Buy Japanese sushi on eBay! New and Used.“)

Someone said, in response to a Quora question about whether anyone had regretted getting a PhD, and one of few PhD’s to say “yes” said basically that you don’t get a doctorate to get a superhuman high social status and be addressed as “Doctor”; he said “a PhD is just a paper that comes along the way as you are doing something you love.”

The personalities of martial arts

Something very much like that related to what what we now understand as a belt system. A martial artist wouldn’t be awarded a blackbelt (or anything else besides a white belt) on the grounds of a formalized test. When you started, you got a white belt that would be slowly blackened by the practice involved in developing expertise for years and years and years. And I believe that most of the better martial artists today would say that the older approach is still foundational in better practices today; it’s just obscured and harder to discern, and certain entirely justified concessions to societal needs have been made.

I remember being offended when I saw how parts of Aikido in Aiki Ninjutsu work; it brought up memories of very frustrating matters of conversation, where a friend (and I do really mean friend) gave infuriating claims of agreement where he would say “I agree with you that [fill in the blank]”, and the beginning, middle, and end of every such “agreement” was to wrench some belief of my mine out of context, placing himself as someone in a position to understand, interpret and explain my beliefs far better than I could, and use it as a sledgehammer against something else that were just as foundational to those beliefs. During those years, he never claimed agreement except as the presentation of an attack. And that is specifically what I saw in physical form in how to respond to an opponent’s punch. You grabbed your opponent’s arm, and so to speak “corrected” the direction it was moving, and add exaggerated force to what your revision of the punch has become. This was disappointing enough to be offensive after reading the tale of a martial art founded by a legendary, great O Sensei who stood unarmed and kept dodging a master swordsman until the attacking swordsman collapsed from fatigue.

I’d be a little cautious about glibly identifying this as “Aikido,” which etymology means something close to “Way with harmony and energy,” as Aiki Ninjutsu represents a new fusion that draws on several older sources and has modern elements. The fusion may not particularly Western elements, but it has a Creed (with an apparently deliberate uppercase ‘C’ as in “Craptastic”), with the Creed beginning with “I believe in myself. I am confident. I can accomplish my goals,” and when I started to give a thinking Christian’s objections to believing in oneself (see Chesterton’s take below), I saw in verbal form the foundational lesson of “Become the center.” What I never heard was so much as lip service to “harmony between opponents” that is a leitmotif in so many genuine martial arts. The technique associated with “Become the center” forces all else to resolve around oneself, and the teacher seemed a bit “become the center” in that he spoke with decisive authority and I was not allowed to even contribute anything to the conversation beyond accepting decisive authority.

G.K. Chesterton incidentally has something to say about “become the center” or rather just believing in yourself. The sting with which he opens chapter 2 of his book Heretics make the stinging remarks of Sumo wrestling quoted above almost sound like praise:

THOROUGHLY worldly people never understand even the world; they rely altogether on a few cynical maxims which are not true. Once I remember walking with a prosperous publisher, who made a remark which I had often heard before; it is, indeed, almost a motto of the modern world. Yet I had heard it once too often, and I saw suddenly that there was nothing in it. The publisher said of somebody, “That man will get on; he believes in himself.” And I remember that as I lifted my head to listen, my eye caught an omnibus on which was written [the name of the lunatic asylum] “Hanwell.” I said to him, “Shall I tell you where the men are who believe most in themselves? For I can tell you. I know of men who believe in themselves more colossally than Napoleon or Caesar. I know where flames the fixed star of certainty and success. I can guide you to the thrones of the Super-men. The men who really believe in themselves are all in lunatic asylums.” He said mildly that there were a good many men after all who believed in themselves and who were not in lunatic asylums. “Yes, there are,” I retorted, “and you of all men ought to know them. That drunken poet from whom you would not take a dreary tragedy, he believed in himself. That elderly minister with an epic from whom you were hiding in a back room, he believed in himself. If you consulted your business experience instead of your ugly individualistic philosophy, you would know that believing in himself is one of the commonest signs of a rotter. Actors who can’t act believe in themselves; and debtors who won’t pay. It would be much truer to say that a man will certainly fail, because he believes in himself. Complete self-confidence is not merely a sin; complete self-confidence is a weakness. Believing utterly in one’s self is a hysterical and superstitious belief like believing in Joanna Southcote: the man who has it has ‘Hanwell’ written on his face as plain as it is written on that omnibus.” And to all this my friend the publisher made this very deep and effective reply, “Well, if a man is not to believe in himself, in what is he to believe?” After a long pause I replied, “I will go home and write a book in answer to that question.” This is the book that I have written in answer to it.

Enough of Chesterton; like The Onion, he has something to offend every palate. (He was beyond being dismissive of the thought of his joining the Orthodox Church.

Some people might be surprised by remarks above; my memberships in 3-4 martial arts lasted for a few months, and while I have had some successes (Kuk Sool Won and the local Shokotan paired me with blackbelts or blackbelt candidates by the end, and one fellow Karate student was getting very infuriated when I responded to him about a quarter second earlier than expected; I moved to meet him as he was moving, not after, without the faintest interval between the two), I found that spirituality was very dry until I repented of it as sin (a mistake I should have made once, if even that). And just to be clear, everyone I’ve heard of in any martial art at all says that you improve after a couple of months, but real mastery takes years and years and years. (I think my case was simply not how things work normally.)

God practices Ju-Jutsu, and we should too, as an act of submission

Perhaps the single greatest illustration of Jiu-Jutsu in the Bible is where a Saul burning with wrath and destruction, trying in overweening pride to annihilate the Church, was stopped cold by the uncreated Light of Heaven, the Light who strikes terror in those not indwelt by It, and provides what may be the only place in the Bible where the Lord quotes a pagan Greek source: “Saul, Saul, why do you persecute me? … It hurts you to kick against the goads.” The action of an Orthodox Christian is not, on the balance, to invade another’s mind and straighten it out. It is not, on the balance, either our place to really defend ourselves. It is to, in the words of a Protestant hymn, “Keep your eyes on Jesus / Look full in his wonderful face / And the things of this world will grow strangely dim / In the light of his glory and grace,” and remember that you too are a sinner and try to be merciful and forgiving as others join you as you continue kicking against the goads.

Furthermore, the more you are in trouble, the more stress you are in, the more conflict or worse, the more more essential that you grow beyond any abilities you know in deiform love to forgive, to have mercy, to pray, to turn the other cheek. The Sermon on the Mount is not an ornament for the beings of some mythical world more perfect than Star Trash. It is a battleplan for those of us who live in a world of conflict and violence.

The Orthodox Martial Art Is Living the Sermon on the Mount.

De-mythologizing done right

Bultmann is a foundational character in the academy, enough so to have provoked C.S. Lewis to write The Elephant and the Fern-Seed. Bultmann came up with a new way of moving beyond mythological trappings found in the Bible and theology. Or at least that is how his progressive circles understood their stance; I’m not completely sure how an Orthodox might best respond, whether “You have a valid enough point, but why does it loom so suffocatingly large to you?” or, “Um, you ARE aware that your fresh and new discovery is a recycled version of a topic that an Orthodox Christian worked out with power, well over a millennium earlier than you, and by a canonized saint at that, and the saint did a profoundly better job than you?”, or extending an invitation for the distinguished scholar to simply become a catechumen!

However, I would like to take up Bultmann’s point, or rather that of the canonized saint of over a thousand years before (Pseudo-Dionysius), or rather God’s point. A standard illustration is, as we repeatedly read in Exodus, “God hardened Pharaoh’s heart.” This claim should not be taken literally; I’ve yet to read even someone very wrong read the text as meaning that God stiffened Pharaoh’s cardiac muscle (heart) the same way an arm or leg or back muscle stiffens with a cramp. But it goes deeper. The claim that God changed Pharoah at all is too crude. Pharaoh hardened his own heart with Satan’s help. God (and the image of Jiujutsu must eventually be dropped as well) exercised Jiujutsu and let Pharaoh reach destruction by the only way that Hell can ever be reached: by his own steam.

I now remember once feeling particularly squeamish about a mailing list conversation where one Orthodox sympathizer clarified, in perfect sincerity, that where Genesis 1 repeats, “And God said,” that was such a human way of speaking that it meant that God spoke, in her words, “with lips and a tongue” as one would expect of mortal man. And I made no effort to assume command of the situation and straighten out her mind for a couple of reasons. First of all, even if her assertion was analytically wrong enough to fill me with squeamishness, unless she is troubling others (in which case someone well above my pay grade should be laying down the law), it is not my place to use my book-learning to take away the little that is held by someone who is not even a member of the Orthodox Church. But that is just for practice. The beam in my eye has to with believing I need to have my way, that I should be in power or in control, or anything else. She might have thought it helpful to give Pharaoh an intake appointment at a cardiologist’s. I do much worse.

How?

Perhaps one way of putting that is this: we are inclined to believe that God violated the free will of Satan and Judas, because they killed the Son of Man and He came back to life triumphant. But a slightly closer image is that he was on higher ground, he let their free will be as sordid as they chose, and in a way beyond Jiujutsu the God who is beyond motion met them fully and attentively, with a heart full of love, and the evil that cannot grasp love tried to give its strongest and most venomous strike, they struck where the everywhere-present God is not and the full force of their blow slammed into a brick wall and their sting was inflicted only on themselves.

But be careful:

One subtle note to those who find alluring the image of Satan slamming his horns full force into an adamant wall next to which diamond is as as a crumbling dust: if you find the image attractive, beware of adopting Satan’s ever-seductive, ever-destructive pride.

One joke good or bad that I heard many, many times as a child ran:

There were two morons working in a hot pit enduring the heat while their boss sat in a cool air-conditioned building outside of the pit on the ground above, not doing much of anything.

One day the morons got to talking and said, “How come we do all the work and our boss gets to sit in an air conditioned building? So the first moron got up from the pit and asked, “How come we work in a hot messy pit all day, and you’re in this office getting nearly all the money?”

The boss said, “Because I’m smarter than you.”

The moron asked, “Why?”

The boss walked over to a thick tree and held his hand in front of the trunk. “Hit my hand as hard as you can!”

The moron swung his best, and the boss deftly pulled his hand away, leaving the moron to slam the full force of his punch into the rugged trunk of the tree.

After he had stopped crying, the first moron climbed back into the pit.

The second moron said, “What did you find out?”

The first moron said, “I’m smarter than you.”

The second moron said, “Why?”

The first moron put his hand in front of his face and said, “Hit my hand as hard as you can!”

There are two, and no more than two, essential options to us. One is to join hands in the Church and dance with the Lord not only of men but of angels and eagles, cultures and corporate worlds, a vast universe held in the heart of a God so small as to be without parts, and join in the unfolding mystery of the Lord of the Dance in whom alone the Divine Providence unfurls. The other option is to help Satan rearrange your face. There is no inconsistent option which lets you remain impenitent in pride and yet remain impossibly free from Satan’s clutches. And more could be said than that: as Fr. Thomas Hopko famously crystallized, Have no expectations except to be fiercely tempted until your last breath.

This is also the point expressed in what may be the most piercingly beautiful of St. Nicolas’ Prayers by the Lake in which, as I would offer images Hope is praised, the Hope Who is eternal, the Hope which glimmers in young children who race out of bed on Christmas morning in all the pageantry of the Great Dance and can’t wait to open the first present but hasn’t the faintest idea of what the first present may be. But there also hopes, with an ‘s’ as in “Shit“, hopes that have certainly plagued me enough hopes really that God will obey the plan that you have worked out to him, and set expections that God is to jump to your plan, and in the event of any problems, he should contact you immediately for further orders or instructions. It is, on reflection, an act of mercy that God sometimes says, “No” to people who give the most meticulously drafted orders, and perhaps work with people who order him around for decades to teach them, just a little, how to live a life that is dancing the Great Dance.

Gandhi and satyagraha

Having tried to underscore the absolute necessity of humility, I would like to move on to the next order of business and compare myself to Gandhi.

Gandhi was a Hindu, in one of three world religions that took its genesis in India. It is my considered judgment that Gandhi’s achievements could have been made solely within resources directly provided by his native Hinduism. However, that sounds like an outsider’s guess to anyone who understands this figure in history; however rich Hinduism may be, Gandhi through whatever reason chose to draw on outside sources.

The most shame I have ever felt about being a Christian was when a pastor in church explained that Gandhi wanted with his whole heart to become a Christian, and when he sought out a Christian evangelist, the racist evangelist rejected him for the color of his skin alone. That experience soured Gandhi enough that he was never again open to being a Christian, but please look at this closely.

I would draw out four decisive influences on Gandhi:

  1. Gandhi’s native Hinduism about which I will now only say that it is deep as an ocean.
  2. The “purer than the pure” Jainism from which he took profound inspiration without also membership (we proverbially say that someone “wouldn’t hurt a fly”, while to this day Jain monastics sweep the ground in front of them with peacock feathers to avoid accidentally stepping on a bug, as Jainism is also a world religion that came from India.
  3. Christianity: this was the religion of the British colonists, and Gandhi spoke and acted warmly towards his sharpest critics. Gandhi also said things that would astonish people for a speaker who wasn’t Christian: “Jesus, a man who was completely innocent, offered himself as a sacrifice for the good of others, including his enemies, and became the ransom of the world. It was a perfect act.” He elsewhere states that his three heroes are Jesus, Daniel, and Socrates, all of whom saw their lives as nothing next to the salvation of their souls. And finally:
  4. Western-style political activism: (Well, I suppose we all have to be wrong about something.)

I do not know how to explain Gandhi’s towering stature in actively trying to adopt the strengths of Christianity and activism. True, he was soured by personally rejected by a Christian evangelist who was beyond moronic, but what I would ordinarily expect is for Gandhi to grind an axe against the English and Christians for the rest of his life, with an anger transparently visible to everyone else besides him, all the way icily insisting, “I am not angry!” As it was, he kept reaching out in love to English and other people who met him with total hatred, and by what is called “satyagraha” purchased the freedom of the one nation in history that achieved its from colonial domination by nonviolence rather than war, and remains the one nation in the world that I am aware of where rah-rah nationalism express itself by the study of nonviolence rather than by celebrating victory through warriors’ killing of others. And this is in a religion where the crowning jewel, the Sermon on the Mount, is a tale of epic heroism where God appears in human semblance and encourages and exhorts a prince who is so devoid of laziness that perhaps he doesn’t even sleep, to rise up in full power and annihilate all those marked for destruction. And Gandhi does nothing to downplay the text; he instead contributed yet one more commentary to the vast collection (and the Hindu preference, at least today, seems to be never give this crowning jewel without opening it up by commentary). And now we are in a position to drill down slightly.

Gandhi said very emphatically, “Truth and nonviolence are as old as the hills.” And I would take this as entirely without sloppiness or guile. However, I would like to delve into a word he used. For the purpose of this section, I will treat Gandhi’s use of “nonviolence” and “satyagraha” as two sides of the same coin, or even closer. The term “satyagraha” is not taken from Hindi (which is, along with English, India’s modern national language), but from the classical Sanskrit, classical in India as Latin and Greek are European classical languages. My best understanding both as a historian and also as an author is that Gandhi went on a word hunt, searching to find the perfect word to crystallize the consuming quest, as Madeleine l’Engle found a word “kythe”, a Scottish word if I remember correctly, that originally meant something like “to truly come to be”, and became the central term in her classic A Wind in the Door. Madeleine l’Engle did not use the word as anyone before her did, and Gandhi seized on a word that had previously not been a term about violence or its absence, a term that meant something like “steadfastly holding on to the Truth no matter what.

And there is no either-or between Gandhi’s embarking on a quest that ended with a deep term from classical Sanskrit, and his full and direct assertion that truth and nonviolence are as old as the hills. The key to this is found in Christ’s words: “Therefore every scribe which is instructed unto the kingdom of heaven is like unto a man that is an householder, which bringeth forth out of his treasure things new and old.” A study of Gandhi’s use of the term “satyagraha” is a study of bringing forth out of a treasure things new and old which are one on the same.

I freely enough compare myself to Gandhi as an author. I do not feel the need to compare myself to Gandhi on forgiveness or anything else truly important besides that we are both made in the image of God, and both sinners.

What is pain? What is yielding?

Here I will not discuss what the image of God is at length, nor dissect that the highest command is to love God with one’s whole being and the second which is like it is to love your neighbor as yourself. However, I will say that the God who defines health is the model for healthily function and life, and Jujutsu is not just how God acts, it’s how we act if we’re doing right. It means that even in the most intense conflict or combat one is looking up for light. The U.S. in World War II referred to the Japanese Jiujutsu as “chop-socky”, and for all their following the universal wartime rules of due diligence in demonizing the enemy, the most patriotic U.S. foot soldiers learned very, very quickly that their Western boxing completely fell to pieces when it ran into “chop-socky.”

It is said by at least some martial artists and athletes that “Pain is weakness exiting the body.” It should equally be said by Orthodox Christians not only that repentance is sin exiting the soul, but that repentance is misery exiting the soul, if there is any difference at all: repentance is Heaven’s best-kept secret. And the struggle with anger that is called forgiveness, when we reach victory, is also misery exiting the soul.

Jiu-jutsu is a word meaning “yielding”, and comparisons with Jiu-jutsu should not be pushed too far, as may be admitted. It is one image among others and one not present in Scripture. But there is a distinction in Asian martial arts (and perhaps Capoiera, for instance), between “-jutsu” and “-do” that is well understood. “Jutsu” means a technique or skill, like woodworking, and “do” means a philosophical or spiritual path. The Western tradition (apart from when Asian martial arts came to be a substantial influence) is entirely “-jutsu”. This is true with a couple of bumps, as Jiu-jutsu is of an ancient provenance, the art of Samurai who had not even their weapons, while Judo may be seen as a modern attempt to simplify and cleanse Jiu-Jutsu into a simpler art that would be effective self-defense while eliminating locks and other destructive features. And all of the martial arts have their own personalities and characteristics, some better than others, but none yet let the stillness of Orthodox hesychasm or silence eclipse the meditation that is structural to internal martial arts.

Dojos

So when am I going to start opening dojos? The answer I am hoping for is, “Never.” The one possible exception I see is that if the Church is really, really scraping the bottom of the barrel and makes me a bishop in some vague sense, or even worse a real bishop charged with fully competent administration, love, and care of a diocese, instead of the nominal formality, the “How do you solve a problem like Maria?” concession of being honored on paper as the more-than-a-bishop of some long-lost city without a second living representative. If I bear the heavy cross and heavy crown of thorns of a real bishop, then I would have the right to start opening dojos, except that wouldn’t be the right way of thinking of it at all: most people would call it “the responsibility to continue opening parishes.”

Color

I winced when I heard Exodus International was closing its doors… until I found out why, and it was a concern that I held since I first heard of it, no matter how much I respected its mission. Exodus International was trying alone to shoulder a responsibility that belonged to the entire ecosystem of the Church. And one question I had already been asking before I saw the Gay Nineties taking over was why on earth that class of sin was its own world, a separate detached from the rainbow fragments forgiven by Christ at Sinners Anonymous, or as it is more often called, the Church. The reason for the coming of the Son of God was to destroy the Devil’s work, and then to keep on pushing for bonus points well past when people can go Heaven: but for starters, let us to say to take each broken fragment of a fractured rainbow, whether pride or envy or the occult or drunkenness or any shard of lust whether gay or straight, and take these broken fragments and restore them to the to the pure, whole, white, bright, radiant, scintillating Light beyond beauty of the uncreated Son.

The Void

The martial arts classic A Book of Five Rings, in a brevity comparable to the Sermon on the Mount, covers five elements: earth, air, fire, water, and the void. The chapter about the void is by far the most terse: all else is summarized and transcended.

I have come to nearly the end of writing what I wanted to write, and I have covered almost everything on topic to cover except one thing: the original, central point that motivated the construction of the work. It would not be strange to call the topic “satyagraha:” I do not complain that others may do so, but I would rather look at hagiography.

The canonized saints trample on the rules of nature again, and again, and again. Saints walk on water; one monk, the only one on a monastic coast worthy to retrieve an icon miraculously floating on water, when he absolutely had to do so, crawled on top of the surface of the water on all fours like a dog, because in his great humility he considered himself utterly unworthy to stand up normally and walk on top of the water like Christ did. Saints pass through fire unharmed, although not every time. Many saints have been burned to death as martyrs, but it seems to happen that when the fire went out the martyrs looked as if they were merely sleeping, with a smile on their faces, and without a thread of their clothes or a hair on their heads singed or the faintest scent of smoke. In the lives, it seems that the only way that persecutors can get certain saints to die and stay dead is to behead them (hello, ISIS?), and even then, the saints occasionally pick up their heads, walk over to their preferred resting place, and there set down their severed heads and only then give their consent to really die.

Furthermore the God who works in the heart of hearts to giants among the saints is also works in the hearts of the faithful. Monastic giants trample on scorpions with bare feet; many more faithful trample on pride. Majestic saints open the eyes of the blind; and men reject lust and find their sight truly opened. St. Paul the Apostle raised the dead more than once, and innumerable more among the faithful, across many centuries, have fed the hungry; and furthermore, in a point that many, many officially canonized saints have driven home across the centuries, feeding the hungry is greater work than raising the dead. The term “saint” referred originally to every member of the Church without exception, and one and the same God works in every stripe of saint to ultimately transcend the chasm between what is created, and what is uncreated. The wall between God and we who are merely created is there so that we may rise above it.

And in all this, the inner struggle of the Philokalia is vibrant in its nature. Its watchfulness or inner “nipsis” acts in moral and ascetical character like an author searching from just the perfect word, ever attentive, never hurrying, never impatient, always expecting. It is like the great Noah, who followed God’s command to build a huge boat in the middle of the desert, and was then the sole survivor from a deluge. It is like a diligent martial artist, who lives by the words, “The more you bleed in the dojo, the less you will bleed in the street.” It claims no exemption from suffering, nor entitlement to wishes fulfilled: if the Measure by whom all saints are measured was the great King who only wore a crown once, and then only a crown of twisted thorns, then we are advised to properly take up our crosses in this earthly vale while we can still repent, because once our life has gone, the opportunity to repent will vanish forevermore.  But sometimes there is an an inner struggle of building a boat in the desert, and trusting the Lord of the Dance to know that he knows what is the right order and that if your next step is to leap before you look and only find out why after you have leapt. For those of us who are children at least, God shows us the reason why just after we have leapt because he knows that out of our weakness we will not exercise faith if he presents us with the reason beforehand, and identically knows that out of our weakness we will not maintain faith if too great a delay comes between the obedience and reward: in all things he meets our weakness that we might meet his strength. And all of this has every connection to how we can be entangled in our world’s conflicts, get hurt again and again, and meet a joy that is beyond any of the conflicts and hurts.

Robert Pirsig’s Zen and the Art of Destroying Asian Philosophy talks about “ego-reading”; reading to push through a text, or as the problem appears among hiking, rushing to get to a point as forcefully and as quickly as possible. He points out that paradoxically those who rush to just get something done tend to not arrive at the intended destination at all. People who make progress in one activity or the other are, although I do not recall if they are stated in these terms, are people who have something in mind other than forcing their way to an external goal. Had the book been written later, it might have used the term “auto-telic”, which describes an activity that is its own goal. Where martial arts like Aikido are called “goalless” by practitioners, it would be more literal, at some loss of striking contrast, to use a presently preferred term of auto-telic and say that an Aikidoko is not worrying about if he as a student will reach black belt, or on a much lower scale how interminably long it will take to master what should be a simple technique, or whether there will be enough progress in managing anger or weight, or anything else. A proper practitioner of Aikido’s attention is fixed on Aikido itself, rather than paralysis by analysis over whether Aikido can be successfully used as a bridge to something external. You practice Aikido in order to practice Aikido.

The Philokalia offers something that seems much less but ends by being much more. The basic framing of work is different, and quite at odds with today’s conception of interesting work. The usual physical craft of self-supporting monks in the ancient world was basket weaving, cynically understood by some in academia today as a legal fiction to let high-value football players keep the alumni without needing to perform proper academic work. The most common craft of self-supporting monasteries today is crafting incense, which at least supplies something elevated to Orthodox parishes. But this way of thinking misses the point for both the ancient and the modern arrangement, which I personally only understood when watching my brother’s Mythbusters show and hear Adam gush at how “meditative” the repeated monotonous physical action of weaving a braided kangaroo leather bullwhip was. The chief merit of basket weaving and incense making alike is that they are repetitive motions that occupy the hands, and it is not clear to me that it is particularly helpful to think of incense as a high-status thing. The ancient and modern monasticism alike the preferred obedience is something that engages the hands while the heart pursues purity. That is the center of gravity. And in modern monasteries, there may be some non-meditative work that needs to be done, but the general pattern is to have most monks heavily engaged in meditative labors for the benefit of the monks themselves in a setting where people do not distinguish sacred from secular or work from prayer. The work is there to help prayer reach perfection. And really, cleaning toilets is more often mentioned as the standard example of honorable obediences than making incense.

But the same center of gravity applies outside of the monastery; it can just be frustratingly more difficult. One monk commented to a cleaning lady that she had a more fortunate position, and I as a programmer and knowledge worker had a less fortunate position, because it is entirely possible to be engaged in prayer while scrubbing tables, but significantly harder to be absorbed in prayer while your mind is chasing bugs in a computer program. And no, this was not a matter of the monk being gracious to someone with lower status and knowing that I would not be hurt or offended by the suggestion. It was unvarnished candor.

What is necessary for people is the same in or outside of the monastery; it’s just that with all the modern inconveniences and interesting and entertaining work the near-identical needs are not met to the same degree. Monks say to each other, “Have a good struggle,” and struggle is expected and normal; people who approach monasteries to loaf around or have some romanticized image be their life may succeed, but not without considerable growth. And to the point of struggle, it is the norm and it is necessary for salvation in or out of Heaven. Those scientifically minded know that when physicists have examined how different the physical constants could and support life as we know it, the invariable conclusion is that life as we know it could not be possible unless the universe were tuned, not to put too fine a point on it, but with mind-boggling precision as if there were a God creating a universe universe that was incredibly fine-tuned, just to support life. And with a similar question among those who have any idea of the dimensions of the earth and the incomparable dimensions of the universe, “Why is the universe so vast, and the earth smaller than a grain of sand when held next to its grandeur? How much legroom does the human race need?” the answer is, “A universe’s worth: no less!” And if we ask, “How much legroom does the Church require for salvation, that the saved may have eternal joy and shine with the uncreated Light in Heaven?” the answer is to me my least favorite part of this book and one that brings me to tears. The answer is, “Hell,” or possibly more strongly and chillingly, “Every single soul from among the innumerable multitude of those who will be eternally damned to Hell!

One pastor tried to say this without a laugh, and failed, that he was one place in the American South during a heat wave, and just before elevator doors closed, a jogger stepped in, sweating bullets, and said, “It’s hotter than Hell out there!” The pastor said, slowly, “No. It isn’t,” and creeped out everyone else in the elevator. But the damned exist, there is always at least possibility of salvation, God does ever better than they observe, and the damned do one thing that is essential. They provide other people with conflicts that can be part of a saving struggle. And when the Crack of Doom comes those who treat you abusively you will partly answer for your sins in your place. This is first a cause to feel relieved, then giddy, then at least for a moment when the full implications begin to unfold, pure terror. Christ died for your sins, and so did Judas, Arius, Marx, Jung, and Hitler.

But God has ordained things, and monastic and non-monastic alike need struggle, which often takes the form of conflicts, of things that we don’t think belong in our lives but God knows they do. And joy does not consist in being exempt from struggle. It consists of growing in struggle. It consists of having a good struggle. And if you earnestly engage your struggle you may experience the power in the final crescendo of Fr. Thomas’s crystallization:

Have no expectations except to be fiercely tempted to your last breath.
Focus exclusively on God and light, and never on darkness, temptation and sin.
Endure the trial of yourself and your faults serenely, under God’s mercy.
When you fall, get up immediately and start over.
Get help when you need it, without fear or shame.

In all these things and more, the Sermon on the Mount as it unfolds including the Philokalia, like as the Mishnah and Talmud, acts as a stone from Heaven of inexhaustible wealth:

Blessed are ye, when men shall revile you, and persecute you, and shall say all manner of evil against you falsely, for my sake.

Rejoice, and be exceeding glad: for great is your reward in heaven: for so persecuted they the prophets which were before you.

Therefore if thou bring thy gift to the altar, and there rememberest that thy brother hath ought against thee;

Leave there thy gift before the altar, and go thy way; first be reconciled to thy brother, and then come and offer thy gift.

Ye have heard that it hath been said, Thou shalt love thy neighbour, and hate thine enemy.

But I say unto you, Love your enemies, bless them that curse you, do good to them that hate you, and pray for them which despitefully use you, and persecute you;

That ye may be the children of your Father which is in heaven: for he maketh his sun to rise on the evil and on the good, and sendeth rain on the just and on the unjust.

For if ye love them which love you, what reward have ye? do not even the publicans the same?

And if ye salute your brethren only, what do ye more than others? do not even the publicans so?

Be ye therefore perfect, even as your Father which is in heaven is perfect.

If ye then, being evil, know how to give good gifts unto your children, how much more shall your Father which is in heaven give good things to them that ask him?

These things slip through our fingers. They are simple, simpler than breathing, and we in our weakened state need some great systematic theology with slippery concepts we can pin down to grasp. So God meets in our weakness and gives the Philokalia to meticulously assess every detail of internal struggle and the eight demons that became the seven deadly sins in the West. “Do not store up treasures on earth” is a simple commandment; it does not only tell us we do not need Rolls-Royces to experience true blessedness, nor do we need our health (saints have lived to great spiritual heights amidst great illness, and not just because they were extraordinarily good), nor do we need our thoughts, or plans for our future in days or minutes, or an identity such as we try to have in the West, or “My Opinions”. We are to chase instead of the treasures that we can eat from today and forever, and come to that place where every drop of blood we bleed in the dojo eclipses a galaxy of diamond in its worth on the streets of Heaven.

Cooldown: The Alchemist

The Alchemist, like many favorite picks on Oprah, is the sort of thing that makes me nostalgic for when my brother still had a beautiful tropical bird as a pet, and moreover makes me positively yearn for the days the house still had a birdcage that still needed lining. None the less, there is a vignette that I would like to draw out.

The teacher-figure in the course is the towering alchemical figure of Melchizedek, who is immortal, can turn lead into gold, can already turn himself into wind, and presumably has numerous and extraordinary other cosmic powers not explored in the text, and teaches the student-figure after making a sweeping dismissal of all the other traditions in all the world’s other religions, and even a Western scholar whose heart was in the wrong place along with alchemy being dismissed for rhetorical weight.

The student figure never becomes immortal, never gains abilities to change metals personally, has no idea how to turn himself into wind (at least to start off with; the quest where he learns to make this self-transformation is core to the book’s plot), and ends up after a long heroic journey to and back finds out that there had been an enormous quantity of gold lying buried under his back yard right where he started.

But a major point is this: both Master and student are equally alchemists, or at very least at the end. The student does not have all the master’s cosmic powers, and even after he has turned himself to wind it is debatable whether he has any cosmic powers, but the question of whether they have identical arsenals of cosmic powers matters no more than whether their eyes are of the same color. Both are equally alchemists; the student follows his teacher in delving deeper into a pride that destroys all capacity for any joy, and an occult mindset that destroys the sanity of all those who practice it in the real world. They are both alchemists, master and pupil, and both participate fully in the tradition, on their own paths. That the teacher’s path includes having the Philosopher’s Stone and the Elixir of Life, and the student does not, and the teacher can transmute lead to gold and the student cannot, is neither here nor there. Teacher and student both follow their personal paths within alchemy. Perhaps it would have been fundamentally humbler for the student to keep on asking that the teacher give him a sole drop of the Elixir of Life and induct him into turning lead to gold.

(By the way, did I mention that there is a way to obtain gold that is purer than 24 karats, such as alchemists did not reach high enough to quest for?)

With all of the above efforts to rip The Alchemist to shreds, and others I’ve held my tongue on, I still wish to make one point clear: The book’s way of looking at difference is less than you think. The further you reach the Kingdom of Heaven, the less it matters that you have precious little money or gold. In fact wealth properly understood is a liability and a handicap more than really being much of any asset that puts you in a better position. Peter Kreeft, a Catholic philosopher and apologist who helped me along the way to Orthodoxy, found one great spiritual advantage to money: it doesn’t make you happy. If you are perennially struggling financially, and you see Break My Window around you on the street when your beater breaks down frequently, it’s awfully, awfully hard to avoid thinking that so many things would be better if you had a good bit of money. If, on the other hand, you have a top-notch chauffeur for a Rolls-Royce, and you’re still miserable, a great deal of the sting has been taken away from the temptation that just having more money is all you need. You can still be greedy and covet things, but it becomes a far weaker temptation to think that your spiritual emptiness actually comes from the fact that you are not in a position to have Michelangelo’s David in your garden and the Mona Lisa in your living room.

The martial artist I respect most was asked in class how many times he had had to use his martial arts skills. And he slowly, gently, humbly said, that he had really been fortunate and hadn’t needed to use his his martial art, even though there were a couple of awfully close calls [during years and years of study].

And I submit that his answer, as stated, is wrong, or at least his wording was deceptive and misleading.

He was at the time a third-degree blackbelt. I don’t know what he is now. For non-martial artists, as far as sparring goes, a first-degree blackbelt is a third-degree blackbelt’s chewtoy. He is past the point where people are said to be able to kill a tiger with their bare hands. I am all but certain that in every one of those close calls, he could have killed the other person immediately. His teacher, at a martial arts show, stood holding two beautiful, ornamental-looking fans, looking quaint, and picturesque, and exotic, and then the teacher was simultanously attacked by five blackbelts with swords, and an instant later the teacher stood holding two beautiful, ornamental-looking fans, looking quaint, and picturesque, and exotic, and all around him were five blackbelts, on the ground, crying.

The martial artist I most respect said, humbly, gently, modestly, that even in the close calls, he had said, “You’re the tough guy,” and backed down, or run away, or almost anything possible (whatever it took), coming out the loser in every social confrontation, and he went on to say, “Most people who think they want to fight don’t really want to fight.” And I submit that the proof of his profound mastery of his art was this: he has passed through minefield after minefield after minefield such as I almost certainly could not, without stepping on a mine even once. The point is not that he happened to be carrying a first aid kit in case he did step on a mine. The point is not that he was carrying a very, very good first aid kit in case he did step on a mine. The proof of his mastery is that, as of my last knowledge, he had never needed to open his first aid kit, not even once. And indeed martial artists often defuse a potential fight before most outsiders would recognize there was anything going out of the ordinary going on.

Incidentally, though there was no question of my ever wanting to give a physical attack when I was in his class, I was quite the jackass and quite the belligerent student, and he only ever answered me with humility and gentleness. In the end, his gentleness conquered me.

What about what I have somewhat whimsically called “Tong Fior”? In my own opinion, my credentials make for an pretty impressive parody of martial arts, unless you want to go through the ha, ha, only serious route. I’ve lifted weights (and lifted weight machines, and broken weight machines by applying too much force), climbed with devotion, in riflery went from no rank to Sharpshooter, Bar VIII in one week, punched at bags, dipped a finger in a few martial arts, made my own approximation of ninjutsu stealth (and unintendedly got a stunned “Whaaaaa?” when these skills came out in campers’ response to games in nature with me as their camp counselor, asking, “Did you go to some special Daniel Boone school [to be able to move so silently and be sensitive to sounds that were apparently around 0 dB]?”), and am gifted to the degree that professionals say “You’re smarter than most geniuses” or “The average Harvard Ph.D. has never met someone as talented as you” (the gifts are not magic powers but for some purposes they might as well be), and other things which should be preferably viewed as ornamental at best. One question outsiders ask of martial artists is how well they’d do in a real fight; the question comes perhaps with hope at a training that would make the asker all but invincible, the basic response to that question is “HTTP Error 404: Missing Page”: if you’re not already the one and only Miyamoto Musashi, Japan’s “sword-saint”, no martial art can change that at all. I would show respect for Kuk Sool Won by saying that one second degree black belt said, “I would give myself one chance in two. But the more chances you give yourself, the less you have.” I’ve had experienced the martial arts practicality, as one martial artist’s parody ad said, “Get beat up by people twice your age and half your size!” There is one point where I expect victory would come, and that is if the Spirit of the Lord comes on me. Orthodox priests should not employ physical violence, and in the profound story of Father Arseny: Priest, Prisoner, Spiritual Father, people are flabbergasted when the weakened and aged monk Fr. Arseny steps where a fight has broken out and strikes a forceful blow. Possibly if the Spirit of the Lord falls on me, I might blast through a 9th kyu, or possibly for that matter a 9th dan. In all other cases it is not my concern.

The Orthodox Martial Art Is Living the Sermon on the Mount, and the struggles I now wrestle with are not flesh and blood, though they have brought me through mortal danger more than once. Kuk Sool Won in every school but one says, “We need more practice!” The Kuk Sa Bo Nim (Grandmaster)’s headquarters school says, “You need more practice!” I’ll go with “We need more practice!”, please, or better “I need more practice!”, or if I can bring it even closer to my true needs, “Lord, give me more time to repent.”

(And a true monk leaves us both in the dust. Though extraordinarily many married Orthodox perfectly well without any of the structure by which God condescends to meet monks.)

(This article is dedicated to the great warrior-martyr St. Mercurius, who destroyed the impious emperor Julian the Apostate from beyond the grave.)

Joining the Holy Mountain (I Hope)

Joining the Holy Mountain

There are a few things I am known for, at least by a few people, but many people know me as an Orthodox Christian author with a website originally founded a couple of years after the web itself (this site), or my collection of books, the chief work of mystical theology being The Best of Jonathan’s Corner (4.6 stars on Amazon), and the chief polemical work being The Seraphinians (at 1.3 stars).

I’ve written a lot over the years, and I have seen more and more good in my failure to earn a PhD in math (UIUC) or theology (Cambridge, Fordham). Not that I have had a successful business career in information technology; I’ve had enough success to pay off my student loans, but there is such a thing as brainsizing, and there is something of a “square peg, round hole” effect for a profoundly gifted employee trying his best to fit in as an interchangeable part in the team programming model that has become the industry standard.

Now I am turning my attention to something I should have done much earlier: the reform school of monasticism. Now one of the requirements to be a bishop is to be a monk, and I am hoping for help continuing to repent of such ambition, partly for reasons outlined in A Comparison Between the Mere Monk and the Highest Bishop. I am seeking not rarities but the salvation of my soul, and some monks have said that they began to make progress fighting sin and passion after twenty to thirty years. I want to reach eternity having spent as much time as possible in the monastic journey of repentance. Whether I would reach any ordination beyond being made a simple monk, or miraculous powers, is not my concern. My concern is that my soul is in ruins and I need such things as monasticism provides. The only real qualification for either of the rare distinctions I mention is that I have experience bearing heavy crosses: I switched disciplines to academic theology while fighting cancer. I’m not now in a good place spiritually.

I am looking for money to use to travel to Mount Athos. Certain things have not been defined yet, but I am essentially seeking travel expenses before taking a vow of poverty.

As regarding how much you might give, some people would simply ask for generosity. I would ask in a certain sense for generosity, but that is not exactly how I would ask. What I would ask would be: Pray, and then give little or much money, or simply prayers, as it seems best in your heart. I was going to offer to give a signed copy of The Best of Jonathan’s Corner for people who give $100 or more (and have a physical mailing address within reach of media mail), but even if that would get me more money, I do not consider that desirable. Christ is extraordinarily clear that a widow who very quietly donated her entire wealth—two of the most worthless “coins” you could find—donated more than all the gifts surrounded by loud fanfare of rich people giving out of things that they don’t need. If you pray and it seems best in your heart to donate $2, I don’t want to make that $20.

I do not know when I need the money; I have made the first formal step towards requesting to join the Holy Mountain, and I have waited a while and am still waiting. If and when I know more specifics, or the Holy Mountain rejects me, I will post an update. (If Mount Athos rejects me I will try my best to pursue monasticism elsewhere.)

As regards the question “How thankful you will be,” I mean in entire literalism, “Eternally.” I need a spiritual hospital like the Holy Mountain, and this may make a difference between Heaven and Hell. It is said that you can only get to Hell on your own steam, but I have plenty of steam. If I find a saving spiritual hospital on Mount Athos, I will be grateful to you for the rest of my life, and pray for you thereafter.

Donate to travel expenses