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View in PDF(opens in a new window)Source: American Journal of Theology & Philosophy
Date: 05/01/2000
Document ID: AA20001102030000426
Subject(s): Philosophy
Citation Information: ISSN: 0194-3448; Vol. 21 No. 2; p.
171-199
Author(s): Roland Faber
"The infinite movement of evanescence:" The Pythagorean puzzle in Deleuze,
Whitehead, and Plato
In a difficult but beautiful text of Gilles Deleuze, the concept of the
infinite movement of evanescence arises:
The concept [of the Whole] . . . follows and espouses determination in all
its metamorphoses, from one end to the other, and represents it as pure
difference in delivering it up to a ground in relation to which it no
longer matters whether one is before a relative minimum or maximum, a
large or a small, nor before a beginning or an end, since the two coincide
in this ground which is like a single and unique 'total' moment,
simultaneously the moment of evanescence and production of difference, of
disappearance and appearance. In this sense... [we attach] importance to
the infinite movement of evanescence-that is, to the moment at which
difference both vanishes and is produced.'
In what follows, I intend nothing but to unfold this enigmatic statement,
since it names the Pythagorean puzzle of philosophy, a statement about
"ultimate difference in itself," the "ultimate ground of being" and a
certain region of thinking, namely the region of the "infinite movement of
evanescence." I shall explore this statement in six parts: first by
discussing what I call the "Pythagorean puzzle," found in Deleuze,
Whitehead, and Plato; then, in the next two parts, by establishing what I
call the "Pythagorean region" of thought in Deleuze and Whitehead; in the
fourth part, by locating the "Pythagorean turn" in Plato's late
philosophy; in the final two parts, by drawing out the change that the
"Pythagorean region" inflicts upon Whitehead's and Deleuze's philosophy.
By taking this route, namely away from Deleuze, back to Whitehead and
Plato, and again forward to Deleuze, we shall realize that Deleuze's
Pythagorean turn is not really a "turn" but a "region" in the center of
his whole philosophical project-although somehow hidden. Plato and
Whitehead, on the other hand, really turned to the Pythagorean region of
thought at the very end of their careers. The role that the Pythagorean
puzzle plays in Deleuze's thought somehow gives us a glimpse of what may
have happened if Plato and Whitehead had had the time and strength to
develop their late discoveries. On the other hand, if Plato's and
Whitehead's late move towards the Pythagorean region appears as antecedent
to Deleuze's puzzling stances, we may better understand how Deleuze's
thoughts could go where they have actually gone.
1. The Pythagorean Puzzle
Deleuze's quotation reminds us of the very center of his philosophy of
Difference, in which we find a "region of thought" that cannot be seen and
looked at directly, but rather it hides within its presence-like Plato's
sun. All differences vanish and arise, all categories generate and die,
instantaneously. All principles deluding us to coat the chaotic fabric of
the world break down. In a "unique 'total' moment . . . of evanescence and
production of difference," reality expresses its true face, its cruelty,
even its monstrosity.' I shall name this region the "Pythagorean region"
and the movement towards its enigmatic center, a "Pythagorean puzzle."
This unique "movement of evanescence" is Pythagorean because it is
conditioned by the reaction of two principles: "the Whole" and "the Large
and the Small"-the ultimate principles of the Pythagorean philosophy. For
the Pythagoreans, "the One" and "the Unlimited" react to create the
world.' It becomes a puzzle when the ultimate Pythagorean principles of
finitude and infinity clash, collapse within one another, and create an
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View in PDF(opens in a new window)infinite movement of evanescence. The Pythagorean puzzle first appears in
Plato's final, radical, thought. The lecture that Plato gave on this
matter, called "On the Good," remained disturbing for its listeners; it
even disappeared. It was concerned with the introduction of the
Pythagorean last principles into Plato's divine principle, the Good.4
Why Plato, Whitehead, and Deleuze? First, it is well known that Whitehead
sympathized with Plato's philosophical disposition. The Houghton Library
in Harvard owns a little handwritten notice by Guy Emerson which states
that Whitehead "likes Plato because he was always proposing, never
finishing anything. It is always process' not frozen finality."5 Second,
Deleuze recognized Whitehead as one of his important "philosophical
personae" he used to mediate his own thought. Deleuze even confesses that
Whitehead's Process and Reality is "one of the greatest books of modern
philosophy."6 Third, Deleuze's own philosophy is one of the most
persistent experiments in taking a straight look into the Pythagorean
puzzle that uncovers an original wildness of the becoming world.
Philosophy in the Pythagorean region pushes permanently to the edge of a
catastrophic abyss of thought. Fourth, all three philosophers reveal a
unique truth of the variation of the Pythagorean puzzle.' At different
times, with different implications, and at different stages of their work,
Plato, Whitehead, and Deleuze have discovered a new land-the Pythagorean
region of thought: the infinite movement of evanescence, the appearance
and disappearance of Difference.
II. The Pythagorean Region of Deleuze's Thought
In the post-structuralist thought of Gilles Deleuze, the basic question of
his philosophy is: What is an event?' Discerning the reality of events
against that of things and beings, forms or possibilities, he came to
believe that events do not refer beyond themselves to any "exterior
referent" ("something that is"). Instead, they represent their own reality
at the boundary of things and language-namely, the reality of "sense" (as
in "non-sense"). The reality of events appears as that of an "encounter,"
an irritating disclosure of intensities in which reality energizes
thinking.9 In The Logic of Sense, Deleuze detects the essence of events as
somehow "between" or at the border of things and language. The reality we
encounter in events does not "designate" any ontic object, it does not
"manifest" any subject (the 'I'), it does not "signify" any concepts. To
the contrary, it defines a new, a unique dimension of reality, namely that
of expression. The reality of expression discloses the level of sense, or
of the pure event. Therefore, the reality of the pure event is not
directed toward facts, subjects, or truth conditions. Deleuze does not
understand event-- reality as a dimension of the status of things that
"is," but rather it expresses a "non-existing entity," or "extra-being,"
or "?-being".10 Furthermore, it articulates a dimension of language, which
does not indicate anything that "exists," but rather a reality that
"subsists" or "insists.""
In a manner very similar to Whitehead, Deleuze's events are players in a
cosmological space. In the language of Difference and Repetition, The
Logic of Sense, and especially The Fold, Deleuze defines this space as
"virtuality," as spatium, as formless and open
"Ungrund"/"Sans-fond"/groundlessness, where intensities are "enfolded" and
can be "out-folded" to extensities in space and time. Implicit spatium
explicates itself as extensio."2 In reference to Leibniz and Whitehead,
Deleuze is in quest of a world without preformation, but of spontaneous
"organization.""3 Perplexing forces arrange experiences without pre-given
rules or schemes. Novelty occurs within unforeseeable categories insofar
as these forces grow together like nomads, created in qualifying
virtuality, but not in pre-forming actuality."
In the language of Bergsonism and Expressionism in Philosophy: Spinoza,
Deleuze defines this state of "initial virtuality" in terms of Bergson's
elan vital and Spinoza's causa sui. In respect to Bergson's elan vital,
Deleuze writes that virtuality "exists in such a way that it is realized
in dissociating itself... Differention is the movement of a virtuality
that is actualizing itself."15 Regarding Spinoza's `infinite substance,'
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View in PDF(opens in a new window)that is, the self-differentiating substance of God, Deleuze recognized its
absolute immanence and total expression within the world and as the
world's primordial process of the actualization of virtuality. Precisely
this is the process of differentiation, of "making" the difference, of the
"Difference in Itself.""6
"Difference" is the production of a world, the way in which the initial
virtuality unfolds itself into an extensive space of events, the unique
moment in which difference is produced. This is not, as one could be
tempted to think, a movement of negation or dialectic; it is purely
affirmative: the creation of folds, enfolding and unfolding. Thereby
"every fold originates from a fold, plica ex plica," and the world
originates as "many-fold." The "fold" moves affirmatively and not
negatively "because the Fold is always between two folds, and because the
between-two-folds seems to move about everywhere."" This is the
affirmation of the "difference in itself': Difference is not "between"
something (of a certain genus or species), but of itself. "Difference" is
not subordinated to identity or to opposition, negation, or dialectic. It
purely is its own ground, the ground of all existence." On the background
of the Spinozistic concept of "univocal Being," Difference precedes all
distinctions, be it "matter and form, species and parts, and every other
element of the constituted individual.""9 "With univocity, however, it is
not the differences which are and must be: it is being which is
Difference, in the sense that it is said of difference."Zo
It is here, that his whole conception of Difference turns into a
Pythagorean puzzle. The purely affirmative Difference happens as a process
of affirmative self-differentiation of the Difference. In other words,
Difference is determination not "between" things but as such, where
"determination takes the form of unilateral distinction" on the background
of an "undifferentiated abyss, the black nothingness, the indeterminate
animal in which everything is dissolving."' Difference, finally,
articulates the process of the ultimate Pythagorean categories, the
uniting "Whole" and abysmal "Large and Small."22
III. The Pythagorean Turn of Whitehead's Thought
Highlighting Whitehead's last two articles of 1941, "Mathematics and the
Good" and "Immortality," may occur somehow odd to someone who is somewhat
familiar with Whitehead's mature works. Although the short, certainly
impervious, sometimes even enigmatic texts seem not to count for a real,
even dramatic shift in Whitehead's thought, it is here that we can discern
Whitehead's own turn towards the Pythagorean region of thought.
(1) Foreshadowings of the Pythagorean Region
In The Concept of Nature, Whitehead offers two intimates: ."extension" and
the "passage of nature."23 In Process and Reality, Whitehead binds
"creativity" with "one" and "many" to his "Category of the Ultimate" par
excellence.24 As a matter of fact, the opinio communis holds that
Whitehead stabilized his mature cosmology within the range of four
so-called "formative elements" without any further shift: the Plural
World, Ideas, Creativity, and God.25 As much as this seems to be the case,
it is wrong. Without much preparation, the 1941-articles rendered another
domain of notions prominent and even predominant.26 Now, the new list of
ontologically indissoluble intimates consists of unboundedness, and beyond
that just of (indefinite) modes of limitation.27 Period. End of list.
Within Whitehead's earlier work, one may instantly think of his
introduction of the "principle of limitation."28 "Limit" appears as an
"attribute" of a Spinozistic, infinite "substantial activity"29 and it
allows for a process of "limitation," thereby creating "definite
entities."3" But, since "there is no perfection which is the infinitude of
all perfections,"3" infinity is in itself abstract. Paradoxically, it is
bound to the finite. It is the finite's infinity.32
(2) The Appearance of the Pythagorean Turn
In the 1941-articles, one cannot overlook the overwhelming use of
Unboundedness and Limitation. If these Pythagorean concepts of the
Ultimate may have been on the ground of Whitehead's thought for a long
time, now they rush up to the surface. The universe is created by the
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View in PDF(opens in a new window)interference of "infinity" and "finitude," generating "the active energy
of a finite assemblage."33 Now, even the four ultimate principles-Plural
World, Creativity, Form, and God-can be expressed in terms of
Unboundedness and Limitation: The World is the "essential relatedness of
all things" in which "finite entities require the unbounded universe, and
. . . the universe acquires meaning and value by reason of its embodiment
of the activity of finitude."34 Creativity creates finite events "by the
inflow from the infinitude to the finite."35 Forms allow stable patterns
and characters when "the finitude of the actual world embraces the
infinitude of possibility."36 Finally, even God appears as a
"characterization of the infinite in terms of finitude."37 The Pythagorean
region of thought occupies Whitehead's interest because the "notion of
'understanding' requires some grasp of how the finitude of the entity in
question requires infinity, and also some notion of how infinity requires
finitude. This search for such an understanding is the definition of
philosophy."38
(3) The Manifestation of the Pythagorean Puzzle
Unboundedness and Limitation lead to the question, how Patterns and
Values, Mathematics and the Good, belong together. This, indeed, expresses
the Pythagorean puzzle. For Whitehead, mathematics in the most general
sense is understood as the study of patterns of all kinds and appearances.
How patterns relate to the actual world of passing facts is the major
project of Whitehead's philosophy: "All value is a gift of finitude which
is the necessary condition for activity. Also activity means the
origination of patterns of assemblage, and mathematics is the study of
pattern. Here we find the essential clue which relates mathematics to the
study of the good, and the study of the bad."39 The basic problem of
philosophy now is the reference of the Pythagorean "mathematical
infinities" to the "infinitude of things," and "the relevance of the
notion of varieties of multiplicities to the infinitude of things."4 This
explains Whitehead's restless admonition to intersect infinity with the
finitude of events, things, enjoyments and values. "The superstitious awe
of infinitude has been the bane of philosophy. The infinite has no
properties. All value is a gift of finitude...."41
IV. The Pythagorean Puzzle in Plato's Lost Lecture The Pythagorean region
of Plato's Lost Lecture "On the Good" is concerned with the question, How
to relate Infinity and Finitude, Number and Value?42 Although the lecture
was lost, fortunately, it was of such an extraordinary excitement that the
participants and their disciples handed it down to us. What made this
lecture so outstanding in the eyes of the listeners was Plato's exciting
but dangerous Pythagorean position that destabilized and even destroyed
the positions for which Plato became famous. Plato's "Pythagorean turn"
signifies nothing less than his intention not to hold his major positions
anymore.
(1) Plato's Standard Position on Ideas
Plato's middle dialogues presented a position he was known for ever since,
namely that Ideas are simple, independent, and absolute causes for what
happens within the changing world. They are simple, that is, free of
contradiction and without composition.43 Ideas are absolute, depending
solely on themselves, self-sufficient, selfcontained, and
self-sustaining.' Ideas cause things to be what they are by
participation.45 The knowledge of Ideas is immediate. In a process of
recollection, the Ideas are spontaneously recognized, but within a
procedure of "unmixing" them from sensations or dialectically laying them
bare apart from them.46 As Aristotle summarizes, Ideas are universal,
independent, and separate entities.47
(2) Plato's Deconstruction of his Middle Stances
In the Theaetetus and the Sophistes, Plato began to break with his
"standard position." In the Parmenides 131a-134e, a first, major
break-down happened. Within several arguments, Plato struck his earlier
positions to death. Here are four of his arguments: First Argument: He
argues against the clear-cut reality of the Ideas. If the Ideas are just
what they are without inclusion of their opposites, how should they be
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View in PDF(opens in a new window)able to cope with the plurality in the world? Second Argument: In the
first of the so-called "third man"arguments, Plato strikes his earlier
claim that Ideas are singular. Although a singular Idea (Largeness) shall
be the expression of all participating things (large things) in their
specific character (being large), this is not possible, since Largeness
itself would have to be "large." Since Largeness and all large things
together would found a new group of "large things," what seems to be
simple and "one"the Idea suddenly turns out to be "indefinitely
multitudinous".48 Third Argument: In the second "third man"argument, Plato
demonstrates the insufficiency of the idea of participation. If sensible
things are similar, that is, expressing the same character, this is
because their character resembles the Idea itself. What follows is an
infinite regress, since we must assume a new similarity between the
character of similar things and the Idea to which this character is itself
similar (LI+Il=L2+1=L3). Thus, participation cannot be a matter of
likeness. Fourth Argument: Ideas are not absolute. Since what is totally
separated from this world, consequently, is not knowable at all.49
Clearly, the chain of arguments now really begins to injure the nerve of
the Platonic Ideas. Ideas were introduced to ground human knowledge. If a
separate, real single existence of Ideas cannot be held anymore, then the
whole enterprise has broken down. This was Plato's new situation.
(3) Plato's Construction of a Pythagorean Region
A new departure was needed; and three of Plato's late works stand for his
new orientation, namely the Parmenides' second part, the Philebus, and his
lost lecture "On the Good." Especially the Philebus represents Plato's
only explicit statement towards the general relativity of the Ideas, their
togetherness with sensible things, and their reconstruction from more
ultimate principles." But what, in that context, was the position of the
lecture "On the Good?" And why, for most of the time, was it held to be
the center of an unwritten, "second" line of teaching of Plato, a kind of
"esoteric opus?" Three points may explain this: (1) The lecture is lost.
It is known through Aristotle, his reference to other attendees like
Speusippus and Xenophanes, and by stunning commentaries of philosophers
like Porphyry or Simplicius (in the sixth century). According to him, even
the group of exquisite listeners found the lecture to be of "enigmatic
utterances."" (2) The ingredients of this lecture can be reconstructed
according to Aristotle's account in De anima 404b, Physics 187a, 209b, and
Metaphysics 987a-98 8a, 99 lb, 109 1b; namely: (a) Numbers are composed of
two principles: "Unity" and "the Great and the Small." (b) The sensible
World is composed of "Ideas" and "the Great and Small." (c) Ideas
themselves are composed by "Unity" and "the Great and the Small." (d)
Ideas are numbers. (e) Most strangely for the listeners: Unity is the
Good. (3) Plato's new position consists in the following stances: (a)
Ideas are not simple, but ontologically composed. (b) Ideas are not
separated from the sensible World, but composed of the same principles.
(c) Ideas do not cause anything, they are numbers or measures. (d) We have
knowledge of the becoming, because Ideas and sensible things are generated
from the same principles. (e) The ultimate principle of what determines
Ideas and sensible things likewise is the Good. The Good is no Idea; the
Good is the "Unity," the principle of unification and measurement, of
rhythm and determination. The Good founds Limitation.
In the Pythagorean region of thought, nothing remains the same: Old
principles and categories suddenly decompose; new principles and
categories begin their reign. After all deconstruction, only two
principles remain: Unity and the Great and the Small. 52
(4) The Core of the Pythagorean Puzzle
In his meticulous study on Plato's Late Ontology (1983), Kenneth Sayre
discovered the strong connections between Plato's lost lecture and his
written opus. Following his analysis, I shall draw out the hallmarks of
Plato's Pythagorean puzzle. All begins with the second, critical part of
the Parmenides. In the "third man"arguments, Plato states that the
seemingly self-contained unity of the Ideas really vanishes in an infinite
regress that Plato named the "indefinitely multitudinous": the "apeiron
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View in PDF(opens in a new window)pletos." "One prominent meaning assigned to apeiron pletos there is that
roughly of `unlimited manyness,' with 'unlimited' understood in the sense
of "without definite limits or boundaries"-hence `indefinite
multitude'."53 Plato's term leads us straight to the very beginning of
Greek philosophy, namely Anaximander's apeiron, "the Limitless.54 It
stands for the indefinite, boundless multitude within an infinite regress.
Ideas, Plato wants to say, are not what they were introduced for, namely
limits for differentiation. Instead, they are nothing but indefinite
factors.
Why, then, is the experienced world in fact structured, having limits and
boundaries? Now Plato improves his middle stances with three important
positions: (a) Ideas are themselves constructed of more fundamental
principles: "Unity" and "the Large and the Small." (b) These principles
mean that of "Limit" and "Unlimited," respectively. (c) They relate
fruitfully in creating a structured world.55
Plato realizes that the Parmenidean "Way of Truth" (fragment 8) does not
lead to an understanding of the world "as it is." Plato, instead, prefers
a Pythagorean way, namely that "Limit" and "the Unlimited" are the
ultimate ontological basis for all possible principles yet to constitute
the world.56 Hence, the "Limit" and the "Unlimited" originate a chain of
eight principles, disposed in opposition to Parmenides's "eight truths,"
namely shape, place, motion and rest, the same and the other, the similar
and the dissimilar, the equal and the unequal, the temporal order." Plato
claims: Only when there is a Limit reacting with the Unlimited then there
can be shape, which is in turn a necessary condition for things having a
place; motion as the change of place; rest as remaining in a certain
place-and so on. That is to say: If the first principles, namely the
Limiting of the Unlimited, are not intersecting, nothing happens at all.58
How does the interplay of the Unlimited and the Limit work? According to
Alexander Polyhistor, it works as a creation-process:
From the unit and the indefinite dyade springs numbers; from numbers,
points; from points, lines; from lines, plane figures; from plane figures,
solid figures; from solid figures, sensible bodies, the elements of which
are four: fire, water, earth, and air; these elements interchange and turn
into one another completely, and combine to produce a cosmos animate,
intelligent, spherical .59
This Pythagorean way, hence, contains a three-fold operative order: (a)
The basis is the Unlimited, the apeiron, or the apeiron pletos. It is "a
numberless multitude," devoid of any "infinite series of positive
integers, . . . or any number series whatever." It means an indefinite
abyss "in the sense of lacking identity."' (b) The concrete World, on the
other hand, is an infinite multitude already transformed into a structured
series of numbers.6" (c) What performs the structuring of the Unlimited is
nothing but to hen, the (capitalized) Unity, called the Limit. It operates
as the "imposition of a limiting principle within the multitude," thereby
creating "a number series by participation of its members in peras or
limit."62 "One of the roles prominently assigned to to hen (Unity) in that
context is to provide a limit enabling "manyness" to be differentiated
into identifiable parts."63
What, then, are numbers? Numbers name the composition of the Unlimited-the
"Indefinite Dyade" or "the Great and the Small" of the Lost Lecture, or
"the becoming more or less" of the Philebus 24e-and the Limit.' The
interaction of the Limit and the Unlimited creates "unique limits imposed
upon continua of progressively larger and smaller constituents. . . .
[T]he Great and the Small is a continuum that admits division into
exclusive sets of greater and smaller factors, and a given number is
identical with an unique segmentation of the continuum. By virtue of this
uniqueness-its participation in Unity, that is to say-a point on the
continuum of the Great and the Small takes on the identity of a particular
number."65 Numbers, therefore, are not just integers, but even magnitudes
studied in geometry (lines, plane figures, solids) or temporal durations;
they perform the imposition of a limit within a continuum generating
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View in PDF(opens in a new window)definite multiplicities, structures, sequences, rhythms, and proportions.
There is no reason why such a process should not take on even qualitative
character (cf. temperature-intervals: colder/hotter). In Philebus 25e,
Plato points out that everything that comes under a peras, a limit,
submits to "number" or to metron, measure.'
What allows for a world to be generated from the Unlimited? It is the
Good, the essence of Unity. Hence, in the Philebus, the hallmark of the
Good is neither intelligence nor pleasure but measure. This is why the
listeners of Plato's lecture "On the Good" were profoundly disturbed when
Plato identified the Pythagorean Unity (in generating measures) as the
Good and the Good by mathematics.67
V. The Decomposing Face of Whitehead's Philosophy of Organism
Whitehead's works of 1941 disclose the Platonic intertwining of infinity
and finitude as a triadic movement of unbounded infinity, a limiting
principle and an infinite multiplicity of finites.68 Here, Heidegger's
"ontological Difference" reappears as the difference of unbounded infinity
and the whole process of limitation. Whitehead asks: If unbounded infinity
has no properties, is mere vacancy, and "cannot be distinguished from
nonentity," how may infinity be the ultimate source of any being
whatsoever? On the other hand, if "infinity is meaningless" and "value is
a gift of finitude," how does limitation create the world of finitude, of
value and meaning?69 Whitehead answers with his most astonishing move: the
reciprocal intersection of infinity and finitude. All infinities are an
abstraction from the finite and all finites are an abstraction from "the
totality of the Universe"" -vice versa. Whitehead takes it this way:
. . . Spinoza emphasized the fundamental infinitude and introduced a
subordinate differentiation by finite modes .... Leibniz emphasized the
necessity of finite monads and based them on a substratum of Deistic
infinitude. Neither of them adequately emphasized the fact that infinitude
is mere vacancy apart from its embodiment of finite values, and . . .
finite entities are meaningless apart from their relationship beyond
themselves."
This is really the core of Whitehead's Pythagorean puzzle: Infinity and
Limitation "create" concrete reality, but-in the same moment-are derived
by their own "creations, " which in turn are derived from their interplay,
which in turn create their interplay-and so on, infinitely moving. Such
"infinite movement of evanescence" has, in turn, major consequences for
the principles that have governed Whitehead's Philosophy of Organism so
far: It renders them derivative from the interplay of infinity and
finitude.
(1) The Limit is the World itself
For Plato, the Limit is the principle of Unity that generates measures,
forms, and sensible objects. In Whitehead's universe, there is no highest,
abstract, and mysterious Limit beyond the process of becoming. Beyond the
"concrete unity of experience" only abstraction reigns. True Unity happens
only as the Unification of finitude with infinity. Unity is the Finite;
the Limit is a gift of finitude. Since the Limit is the Good, the Good is
no Idea ordering all measures, rather it is identical with the whole
becoming body of the World itself Unity originates within the process of
the becoming Universe."
(2) Potentiality is created
In the process of unification, persistent character and pure potentiality
are produced. They arise in "the awakening of infinitude to finite
activity."73 The process of limiting the unbounded infinity generates not
only new finite entities, but is "the origination of patterns. 1974 Now,
in the final stage of his ontology, Whitehead's thesis: "All value is a
gift of finitude" exhibits a totally new flavor: namely, that all
actualities (not only God) structure the unbounded infinity, thereby
generating patterns, possibilities, and novelties.75
(3) Creativity is energized
In his final approach to Creativity of 1941, Whitehead derives it .from
the interplay of infinity and finitude.76 Hence, a paradoxical situation
occurs. The Limit limits the unbounded infinity, thereby generating
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View in PDF(opens in a new window)"activity," that is Creativity.77 Thus, the one element generates the
other: "All characteristics peculiar to actualities are modes of emphasis
whereby finitude vivifies the infinite. In this way Creativity involves
the production of value-experience, by the inflow from the infinitude to
the finite, deriving special character from the details and the totality
of the finite pattern. This is the abstraction involved in the creation of
any actuality, with its union of finitude with infinity."' Again:
"finitude vivifies infinity" (f i), "Creativity involves... the inflow
from the infinitude to the finite" (i => f), and this all happens for the
sake of "actuality, with its union of finitude and infinity" (i +J).
(4) Immanence is God
We are left with a final duality, that between infinity and finitude, and
God appears to stand for their final integration. Since the integration of
all differences has to be actual, and all actuality is the "union of
finitude and infinity,"79 Whitehead understands God as actual integration
of infinity and finitude.'A God who could not integrate the finite would
remain external to the World process. Such a God would not attain
relevance in the World, because sheer infinity is without energetic
activity. Instead, infinity must be energized by actuality."
Buddhism emphasized the sheer infinity of the divine principle, and
thereby its practical influence has been robbed of energetic activity ....
Christianity has been concerned with the characterization of the infinite
in terms of finitude. It was impossible to conceive energy in other terms.
The very notion of goodness was conceived in terms of ... the limitation
of deity.82
Whitehead solves the integration of infinity and finitude in terms of
Plato's most disturbing equation: the Limit = The Good. When we conceive
Unity essentially as imposition of a Limit-precisely when would a Limit
not be "imposed" on the unbounded infinity?83 This could be the case, when
we allow for a Unity/Limit of finitude and infinity that is not their
integration, but ultimately their generation. God would be visioned as the
primordial decision in favor of the "existence" of both infinity and
finitude. In God, then, infinity and finitude do not re-act, as in every
other actuality, but they originate. This origination is precisely God's
act, in which God is the originating Limit. This is God's self-limitation,
which is God's goodness.84 In God, the ontological difference is an
abstraction. In God, the existence of the difference between infinity and
finitude is God's decision. In God, it is not the unification of infinity
and finitude, but rather the origination of the Difference.
VI. The Orgiastic Ground of Deleuze's Philosophy of Difference
If there is a difference between Deleuze, on the one hand, and Plato and
Whitehead, on the other, it is this: While Plato and Whitehead came to
think the Pythagorean Puzzle at an extreme point in the corpus of their
thought, Deleuze really dwells within the dangerous Pythagorean region,
namely the moment of appearance and disappearance of the naked Difference
itself. Nothing else "makes" a difference anymore, if not Difference
itself.85 And "Difference in Itself' appears from Indifference, that is,
the mystery of "the undifferentiated abyss, the black nothingness, the
indeterminate animal in which everything is dissolved-but also the white
nothingness, the once more calm surface upon which float unconnected
determinations like scattered members. . . ."86
Difference does not negate the dark abyss and it is, for that matter, not
just a state of determination. Difference affirms the Infinite with a
"single voice," the univocity of being, precisely in differentiating
itself." Determination does not measure precise unities (Forms, as in
Plato and Whitehead). Determination is Difference as such. Now, unity is
Difference, and that makes "difference ... monstrous."88 "This difference
... as such is cruelty.... In truth, all form ... ceases.... When the
ground rises to the surface, the human face decomposes in this mirror in
which both determinations and the indeterminate combine in a single
determination which 'makes' the difference."89
Here, Deleuze's "infinite movement of evanescence" becomes orgiastic. In
Pythagorean terms: The dark abyss of the Infinite Dyade ("the Large and
Page 9
View in PDF(opens in a new window)the Small") not only dissolves all Forms (as in Plato); in the light of
the Difference as such, "the Large" and "the Small" themselves dissolve.
They represent only "extreme forms" of the maximum and the minimum. The
difference of the ground pushes the extreme forms of the small and the
large to collapse into the infinite. Deleuze writes:
It seems that the extreme can be defined by the infinite. The infinite, in
this sense, even signifies the identity of the small and the large, the
identity of the extremes. When representation discovers the infinite
within itself, it no longer appears as organic representation but as
orgiastic representation: it discovers within itself the limits of the
organized; tumult, restlessness and passion underneath apparent calm. It
rediscovers monstrosity. [Now, Difference is the] ground in relation to
which it no longer matters whether one is before a relative minimum or
maximum, a large or a small, nor before a beginning or an end, since the
two coincide in this ground which is a unique 'total' moment,
simultaneously the moment of evanescence and production of difference, of
disappearance and appearance.'
We have again come back to Deleuze's introductory quotation stating the
Pythagorean puzzle. Its power of relentless "infinite movement of
evanescence" at which difference both vanishes and arises, now, somehow
begins to explain many of Deleuze's moves. Thus, finishing the
investigation, I shall name three of them.
(1) Where Ground is Difference, Incompossibility is no Stranger
In The Fold, Deleuze appreciates Whitehead's "chaotic world [of] divergent
series [that] are endlessly tracing bifurcating paths."9" Such a world has
orgiastic structures; it "is a 'chaosmos',"92 created of pre-individual
singularities.93 In Difference and Repetition, the measuring of the
infinite--that what Deleuze calls the imposition of nomo-genuinely happens
by nomadic distribution of singularities on a plane. "Here, there is no
longer a division of that which is distributed but rather a division among
those who distribute themselves in an open space-a space which is
unlimited, or at least without precise limits."' Singularities distribute
no stability, but they measure the world of a "meta-stable" plane, where
they live virtually as pure events.95
(2)The Duality of Time
In a certain sense we may say that time is nothing but the process by
which Infinity and Finitude, the Whole and the Infinite Dyade energize
world. In The Logic of Sense, Deleuze articulates two modes of time:
Chronos, the time of the present without past and future, only of more or
less extension. Chronos is the time of the things, of the actual world. It
extends to the notion of the Whole in the sense of a God as infinite
extension, uniting the whole world as present. Aion, on the other hand, is
the time of the past and the future. Like the Infinite Dyade, it
indefinitely divides every present into a past and a future. Aion, the
time of the pure event, is never present.96 "Briefly, there are two times,
one of which is composed only of interlocking presents; the other is
constantly decomposed into elongated pasts and futures.... One ...
measures the movement of bodies .. , the other is pure straight line at
the surface, incorporeal, unlimited, an empty form of time, independent of
all matter."97 Here, Deleuze restates the Pythagorean puzzle as the
conflict of "Aion versus Chronos,"98 that is, of things and events, monads
and nomads, depth and surface.
(3) Ground is Surface
When the ground rises, the Pythagorean terminology breaks down: the
Infinite Dyade has no maximum and minimum any more; the Whole represents
no essence beyond the process of nomadic limitation. Limit/nomos expresses
nothing other than the process of limitation, that is, of nomadic
distribution. Thus, the world appears as "surface." Surface, that is the
world that has no essence, no depth, which is pure event. Surface is the
"between," the birth of Difference. That explains Deleuze's stark
formulation that when the "ground rises to the surface, the human face
decomposes."99 When the dangerous ground rises, the presumption that the
ground was essentially human disappears and the true depth appears-that of
Page 10
View in PDF(opens in a new window)the pure surface. The world has no depth; depth is only a projection of
the human nomos into the Whole. The world is seen right when we look at it
as a mirror in which depth is only a reflection of the pure surface. This
world is empty. If we would try to penetrate the surface, thereby
misinterpreting the reflections in the mirror as depth, we would
find-nothing. This is Deleuze's solution to the Pythagorean puzzle:
"Everything now returns to the surface." '00 The surface is the
interaction of the Whole and the Infinite Abyss. It has no existence; it
is not Being. It insists only as "non-existing entity"; it expresses
really extra-Being.101
Finally, Returning to the Pythagorean Puzzle
At different times, with different implications, and at different stages
of their work, Plato, Whitehead, and Deleuze have discovered a new
land-the Pythagorean region of thought. Its heart is the infinite movement
of evanescence, of the appearance and disappearance of Difference.
Nevertheless, maybe the most stunning moment of this Puzzle is this: All
three thinkers never credited Pythagoras for their discovery. Although the
listeners to Plato's lecture stated such a connection and we may find the
same undercurrent in Whitehead and Deleuze, I may admit that the
Pythagorean Puzzle is all the more puzzling, since it seems to be included
in its own movement of evanescence. I may even admit this: Maybe the
surface of Plato's, Whitehead's and Deleuze's thought mirror only what one
finds to be reflected by them. But, then, at least this would be the
Pythagorean Puzzle. Then we remain within this infinite movement of
evanescence.
1 Gilles Deleuze, Difference and Repetition (New York: Columbia University
Press, 1994), 42; cited hereafter as DR.
2 Deleuze, DR, 42. "When this ground rises to the surface, the human face
decomposes," reality really "'makes' the difference" (ibid., 28).
3 Ibid., 34, 42. Cf. Aristotle, Metaphysics, 986a17-21, 987a13-19; cf R.
D. McKirahan, Jr., Philosophy Before Socrates: An Introduction with Texts
and Commentary (Indianapolis: Hackett Publishing Company, 1994), 96; cited
hereafter as PBS.
4 Whitehead, who noticed Plato's Pythagorean turn, notes that about "two
thousand three hundred years ago a famous lecture was delivered. The
audience was distinguished: among others it included Aristotle and
Xenophanes. The topic of the lecture was The Notion of The Good. The
lecturer was competent: he was Plato. The lecture was a failure, so far as
concerned the elucidation of its professed topic; for the lecturer mainly
devoted himself to Mathematics" (A. N. Whitehead, "Mathematics and the
Good," in Essays in Science and Philosophy [New York: Greenwood Press,
1968], 97; hereafter cited as MG).
5 Guy Emerson, Houghton Library, Harvard, MS Am 1850 (14-15).
6 Deleuze, DR 284 f.
7 This is Deleuze's relativistic view of perspective: Different
perspectives can be situated in different discourses. However, every
perspective on the same "plane of immanence" may be transformed in the
other; cf. G. Deleuze, F. Guattari, What is Philosophy? (New York:
Columbia University Press, 1994), 35 ff; hereafter cited as WPh. The
participants of a common plane do not have to share the same time or
space. They may not be contemporaries; still, they may be "sojourners
across time." In The Fold, he says: Relativism "is not a variation of
truth according to the subject, but the condition in which the truth of a
variation appears to the subject" (G. Deleuze, The Fold.' Leibniz and the
Baroque [Minneapolis University Press, 1993],
20; hereafter cited as F. I take Deleuze here to break with the idea of
linear development, with any preoccupation with timelines and singular
traditions forming philosophical identity and exclusive differences.
Instead, the variety of perspectives break through history, space, and
time, and gather on a certain "plane of immanence," a certain "universe."
Now, perspectives reveal themselves as the unique truth of a variation,
namely of the "Pythagorean puzzle." "Philosophy [Deleuze says], is
becoming, not history; it is the coexistence of planes, not the suggestion
Page 11
View in PDF(opens in a new window)of systems" (G. Deleuze and F. Guattari, WPh, 59.
8 Gilles Deleuze is a distinguished French philosopher, well-known for his
poststructuralism. Besides his intensive work on other philosophers such
as Hume, Kant, Bergson, Nietzsche, Spinoza, Leibniz, and Foucault, he
wrote a series of works, preeminently on his own behalf: Difference and
Repetition (1968), The Logic of Sense (1969), The Fold (1988), and What is
Philosophy? (1991).
9 Gilles Deleuze, The Logic of Sense (New York: Columbia University Press,
1990), 7, 66 ff; hereafter cited as LS. Cf. D. W. Smith, "Deleuze's Theory
of Sensation. Overcoming the Kantian Duality," in Deleuze: A Critical
Reader, ed. P. Patton (Oxford: Blackwell, 1996), 30 f. Intensities
energize thinking, yet they conceal themselves from our
observation/perception/understanding/thinking. They do not form an
ontological, but rather, an aesthetic reality.
10 Deleuze, LS. 7, 12 ff, 66 ff for the "between;" 19 for "expression;" 28
ff for
"sense;" 12 ff, 19-22, 151 for "pure event," 7, 35, 110, 180 for "extra
being."
11 Ibid., 34. Cf. E. Weber, "Fragment fiber die Wissenschaft reiner
Ereignisse," in Gilles Deleuze-Fluchtlinien der Philosophie, F. Balke and
J. Vogl, eds., (Minchen: Wilhelm Fink, 1996), 198. Cf Smith, "Deleuze's
Theory,, 30. Cf R. Bogue, Deleuze and Guattari (London: Routlege, 1996),
70, 72 (with reference to Meinong).
12 Deleuze, LS, 106. Cf. Bogue, Deleuze and Guattari, 62 This Ungrund
signifies a non-existing horizon of pure events or their "wherein." Cf
Deleuze, F, 20; DR, 310. Cf. Bogue, Deleuze and Guattari, 62 ff. Cf. A.
Badiou, "Gilles Deleuze, The
Fold: Leibniz and the Baroque," in Gilles Deleuze and the Theater of
Philosophy, C. V. Boundas and D. Olkowski, eds., (New York: Routlege,
1994), 65-61.
13 Gilles Deleuze, Bergsonism (New York: Zone Books, 1988), 38; hereafter
cited as B. For Leibniz, this may have been "the best possible world." Cf.
Hardt, Gilles Deleuze, 18-19, 119-121. The virtual field of forces, powers
and events, the "receptacle" of intensities and characters, hence, which
force us to think but perplex recognition at the same time, can be grasped
neither by any categories of thought nor by any a priori at all. They are
included within a transcendental field of total immanence, a field of
forces that affects thinking. Cf. Deleuze, LS, 102; cf. Weber, "Fragment,"
202.
14 Cf Deleuze, DR, 36; LS 4 ff, 52 ff. Deleuze calls this concrete
novelty, which
cannot be predetermined by any rules or categories, " `the event' of
actuality". Cf. B. Baugh, "Deleuze and der Empirismus," in Gilles
Deleuze-Fluchtlinien der Philosophie, F. Balke and J. Vogl, eds.,
(Munchen: Wilhelm Fink, 1996), 47. Deleuze's virtuality, actualizing
itself within the immanent field of forces, realizes the
self-differentiation of the absolute positive, infinite, and ultimate
reality very similar to Whitehead's `substantial activity' in Whitehead,
SMW, 70, 107; cf. M. Hardt, Gilles Deleuze: An Apprenticeship in
Philosophy (Minneapolis: University of Minnesota Press, 1995), 16-17 for
Deleuze's differentiation of virtuality-actuality from
possibility-reality. In a certain sense, Deleuze's 'virtuality' resembles
Whitehead's `real potentiality' (past actuality) in difference from the
realization of 'possibilities' (eternal objects).
15 Gilles Deleuze, "La conception de la difference chez Bergson," in Les
etudes bergsoniennes 4 (1956); 93.
16 Deleuze, DR, 28 ff. Cf. Hardt, Gilles Deleuze, 14, 64.
17 Deleuze, F, 13; cf. 10.
18 Deleuze, DR, 34. With Bergson and against Hegel, Deleuze states in his
"La conception de la difference chez Bergson": "In Bergson ... the thing
differs with itself first, immediately. According to Hegel, the thing
differs with itself because it differs first with all it is not" (Deleuze,
"La conception", 96; translated by, and quoted according to, Hardt, Gilles
Page 12
View in PDF(opens in a new window)Deleuze, 7). Cf. Deleuze, DR, 28, 50-51.
19 Deleuze, DR, 38; cf. ibid., 35 for "univocal being"; cf. G. Deleuze,
Expressionism in Philosophy: Spinoza (New York: Zone Books, 1990), 53.
20 Deleuze, DR, 39.
21 Ibid., 28.
22 Ibid., 29.
23 A. N. Whitehead, Concept of Nature (Cambridge University Press, 1993),
54, 58, 73.
24 A. N. Whitehead, Process and Reality: An Essay in Cosmology, Corrected
Edition, eds. D. R. Griffin and D. W. Sherburne (New York: Free Press
1978), 21 f; hereafter cited as PR. Other terms, however, remain ultimate,
too, like "extensive continuum" (PR, 61-68), "togetherness" (ibid., 22),
or "primordial envisagement" (ibid., 32), and in Adventures of Ideas
(1933), Whitehead adds "immanence" (A. N. Whitehead, Adventures of Ideas
[New York: Free Press, 1967], 130, 168; hereafter cited as AI.
25 A. N. Whitehead, Religion in the Making (New York: Meridian Books,
1960), 88; hereafter cited as RM.
26 The notions are "unboundedness" (Whitehead, MG, 103) and "limit"
(ibid., 105), "infinity" and "finitude" (ibid., 106; A. N. Whitehead,
"Immortality," Essays in Science and Philosophy (New York: Greenwood
Press, 1968), 77; hereafter cited as Imm.), "indefiniteness" and
"definition" (Whitehead, Imm., 92). Even regarding termini technici from
earlier writings we may realize interesting simplifications and even
slight shifts of meaning when Whitehead now substitutes "actual
occasion/entity" with "minute happening" (Whitehead, MG, 105), "natural
occurrences" (ibid., 109), "particulars" (ibid., 111), or "facts"
(Whitehead, Imm., 81); "eternal objects" with "pattern" (Whitehead, MG,
102), "types of modes of emphasis" (ibid., 105), or "values" (Whitehead,
Imm., 80); and "creativity" with "energetic activity" (Whitehead, MG,
106), "active energy" (ibid., 105), or "active creativity" (Whitehead,
Imm., 90).
27 "Infinity and finitude"-one may identify them to be one of the oldest
themes in
Greek thought. Cf., e.g., Anaximander who could arguably be seen as first
philosopher of the highest rank. Other than Thales' "Water," Anaximenes'
"Air," or even (although cautiously said) Heraclitus's "Fire,"
Anaximander's principle, namely the " apeiron," was neither a "material"
nor a "form," but rather something beyond all that, namely the unbounded
infinity itself. Greek philosophy began with infinity, understood as the
ground of the world.
28 Whitehead, SMW, 178.
29 Ibid., 70, 177. In Whitehead, Spinoza's "one infinite substance"
expresses three
"attributes": the "multiplicity of modes" of actualities, "the realm of
eternal possibility," the "principle of limitation" (ibid., 177-178). The
first attribute is the actual limitation of infinity as a "differentiation
into individual multiplicity." The second attribute is the limitation of
the unbounded realm of possibility as "synthesized in these modes" (ibid.,
177). The third attribute names the process of limiting infinity as
needing "to conform to a standard" regarding all kinds of limitations
among "values, introducing contraries, grades, and oppositions." God,
accordingly, "is the ultimate limitation" (ibid., 178).
30 Whitehead, RM, 146. In the 1926-lectures published as Religion in the
Making, two developments happen. First, the modes of infinity are
abstract; infinity cannot gain actuality; it cannot act at all. The
concrete, on the other hand, is the "definitely limited." God is enthroned
to the limiting agent par excellence, if not the only one. Further, this
has the consequence that God "in Godself" is now understood to be
"infinite" and "finite." God is limited by God's goodness. This does not
mean that God is only finite. God is just "not . . . in all respects
infinite. . . . [God] is something decided and is thereby limited" (ibid.,
147). Both infinity and finitude are an ontological and conceptual basis
of these metaphysical constructions; in God, infinity and finitude even
Page 13
View in PDF(opens in a new window)embrace all of the metaphysical constructions at once.
31 Whitehead, AI, 257.
32 "Importance," says Whitehead in The Modes of Thought, "arises from this
fusion of the finite and the infinite" (A.N. Whitehead, Modes of Thought
[New York: Free Press, 1966], 79.
33 Whitehead, MG, 105.
34 Ibid., 106.
35 Ibid., 112 f.
36 Whitehead, Imm., 87; cf. MG, 109.
37 Whitehead, MG, 107.
38 Ibid., 106.
39 Whitehead, MG. 105-106; cf. 109; cf. Whitehead, Imm., 79 f.
40 Ibid., 103.
41 Ibid., 105.
42 For Whitehead, this relation remains "a basic truth of philosophy"
(ibid., 97).
43 Plato, Phaedo, 80b; Protagoras, 330e; Phaedo, 78c.
44 Plato, Euthyphro, 6d; Phaedo, 78c-SOb.
45 Plato, Meno, 81e; Theaetetus, 147b; 148d; Euthyphro, 6d; Meno, 72c;
Phaedo, loob-101c.
46 Plato, Meno, 85d; Phaedo, 66; Republic, 532a.
47 Aristotle, Metaphysics, 1078b 30-32.
48 Ibid., 132b.
49 First argument: Plato, Parmenides, 131 a-e ; second argument: ibid.,
132b-c; third argument: ibid., 132d-133a; fourth argument: ibid., 133a-c.
50 Now we find Plato even talking of a knowledge of becoming, cf. Plato,
Philebus, 61 d-e.
51 H. Diets, ed., Commentaria in Aristotelem Graeca IX (Berlin 1882),
453:30.
52 Cf. McKirahan, PBS, 102.
53 K. M. Sayre, Plato's Late Ontology: A Riddle Resolved (Princeton
University Press, 1983), 29; hereafter cited as PLO. Cf Plato, Parmenides,
133a; cf. 132b.
54 Cf. McKirahan, PBS, 37. Cf. F. M. Cornford, From Religion to
Philosophy: A Study in the Orgins of Western Speculation (Princeton
University Press, 1991), 145.
55 Cf. Plato, Parmenides 137c; cf. Sayre, PLO, 184. For Sayre, the meaning
of the Unlimited and its Limit reveals itself, when we identify "the
Unlimited" of Plato's
Lecture," namely "the Great and the Small," with the "the Great and the
Small" as "the Indefinite Dyade." Although, what Aristotle referred to as
"the Great and Small" (cf. Aristotle, Metaphysics 987b) or, occasionally,
as the "Indefinite Dyade" (cf. ibid., 1082a), cannot be found in Plato's
written opus, these concepts contain intimate connections to Plato's
Philebus. The apeiron pletos of the Parmenides is the apeiron of the
Philebus. The relation of the One (Unity) and the many (multitude) of the
Parmenides (164c) reappears in the Philebus (23e) as that of the Limit and
the Unlimited (Sayre, PLO, 125, 133). "The Unlimited" of the Philebus is
what Aristotle, comparing Plato to the Pythagoreans (ibid., 149), referred
to as "the
Great and the Small," or the "Indefinite Dyade" (ibid., 133-155).
56 Cf. Plato, Parmenides, 13 7e-14 1d; cf. McKirahan, PBS, 101.
57 Cf. Plato, Parmenides, 137d; 138a-b; 138b-139b; 139b-e; 139e-140b;
140b-d; 140d-141 d.
58 Cf. Sayre, PLO, 50-54. The four principles remaining in the Philebus
are Limit, the Unlimited, Mixture, and Cause (23e). Limit and the
Unlimited name the first principles, Mixture (as Forms and sensible
objects likewise) and Cause name "something" proceeding this mixture-like
the Demiurg of the Timaeus 29e-47e.
59 McKirahan, PBS, 101.
60 Sayre, PLO, 55.
61 McKirahan, PBS, 103.
62 Sayre, PLO, 55.
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View in PDF(opens in a new window)63 Ibid., 29.
64 "Dyade" stands for the methods Eudoxus used to form ratios of integers
to perform an approximation to a certain number on the continuum from both
sides of a fraction, the greater and the smaller. See, for instance, the
approximation of the magnitude of the square root of 2 (= 1.41421...): We
can construct proportions between this magnitude, called C and, say,
another magnitude, called R, representing a numeral unit, so that the 1st
C is falling between the 1st and the 2nd R, the 10th C between the 14th
and the 15th R, the 100th C between the 141th and 142th R, the 1000th C
between the 1414th and the 1415th R, and so forth, increasing the accuracy
of the sought value infinitely and continuously (Sayre, PLO, 105). Cf.
Diels, Commentaria, 248.1. In other words: The interaction has a
mathematical basis, namely within the emerging concept of irrational
numbers as unlocked in Euclid's and Eudoxus's work; cf. Sayre, PLO,
103-108.
65 Ibid., 113.
66 Ibid., 114.
67 Cf. Plato, Philebus 66a. Cf. Diels, Commentaria, 122.13-14.
68 As is well known, much of Whitehead's knowledge of Plato came from the
work of the influential and important Plato-exegesis of A. E. Taylor,
especially in his
Plato: The Man and His Work (1926) (cf., e.g., Whitehead, PR, 42). As
Sayre proposes in the context of interpretation of "the Great and Small,"
it was exactly Taylor's account, which will come next to his own findings
(Sayre, PLO, 100). Taylor's interpretation of "the Great and Small"
precisely underlines the fact that it is an infinite series of fractions
appropriating a limit (in this case the square root of 2) that defines the
concept of "the Great and Small" (ibid., 101). First, the mathematical
approach to the problem and, secondly, particularly the view that the
"Indefinite Dyade" generates "numbers" by imposition of a "Unity" (ibid.).
The three-fold scheme that we have extracted in Sayre's analysis is
exactly that which Whitehead could have known through Taylor. For the
triadic movement cf.
Whitehead, Imm. 77. Whitehead's texts follow Plato's lost lecture: (a)
Patterns are complexities composed by infinity and finitude (Whitehead, MG
101, 105 f). (b) The sensible world is constructed by unbound infinity and
patterns (ibid.; Whitehead, Imm., 82). (c) Forms or patterns are numbers
or measures, dependent on infinity and finitude (Whitehead, MG, 103, 111).
(d) The Good is Unity (ibid., 109; Whitehead, Imm., 88 f).
69 Cf. Whitehead, MG, 103, 105-106; Imm., 82.
70 Cf. Whitehead, Imm., 77, 82; MG, 104, 106.
71 Ibid., 106.
72 Cf. Whitehead, Imm., 90; MG, 112 Thus, although Whitehead thinks that
God's "existence is founded in Value" and, therefore, is "the essential
unification of the Universe" (Whitehead, Imm., 90), God would not be the
Limit but only an abstraction if God was not infinite and finite; cf.
ibid., 106 f.
73 Ibid., III.
74 Ibid., 105 f. Cf. R. Rorty, "Matter and Event," in Explorations in
Whitehead's Philosophy, L. S. Ford and G. L. Kline, eds., (New York:
Fordham University Press, 1983), 91: The "total multiplicity of Platonic
form is not `given"' (Whitehead, PR, 43). This insight emerged not later
than with Science and the Modern World, when the relations between eternal
objects were desystematized toward a process of actual decision (at least
of the limiting principle, that is, God) (Whitehead, SMW, 157-179). There
are no pre-established patterns but only decisions of actualities. Since
"unrelated" eternal objects are "indistinguishable from nonentity"
(Whitehead, PR, 257) and "[n]onentity is nothingness" (ibid., 46), there
is no "prior multiplicity of simple eternal objects, in any sense of
`prior,' whether temporal, generic or logical"; cf. L. S. Ford, "Neville
on the One and the
Many," Southern Journal of Philosophy 10 (1972): 80.
75 Whitehead, MG, 105 f.; cf. 112 f; Whitehead, Imm., 82.
Page 15
View in PDF(opens in a new window)76 Creativity is an abstraction (ibid., 80, 90); it is without character
(Whitehead, MG, 105 f) and it is activity (ibid., 105 f, 112 f; Whitehead,
Imm., 90). In the first place, however, it is unbound infinity (ibid.;
Whitehead, MG 105, 106, 112 f). However, Whitehead's infinity is not only
an indefinite continuum, but pure activity and pure spontaneity
(Whitehead, PR, 31; Al, 258). In a certain sense, Creativity is an
abstraction-nothing despite and besides its embodiment in actualities
(Whitehead, PR, 7). Despite having no characteristics on its own at all,
thereby resembling Aristotle's "prime matter" (ibid., 31), it is the
activity of novelty (ibid.,
21), whereby actualities are conditioned as actualities (ibid., 20).
77 The "vagueness of the praxis" is energized by patterns (Whitehead, MG,
104); "flux" is raised above the "futility of infinity" by patterns which
generate the active energy of finite assemblages (ibid., 105); finite
value (that is, finite actuality) appears as the "necessary condition" of
activity (ibid., 105 f); the "unbounded universe" is embodied by the
activity of finitude (ibid., 106); emphasizing "sheer infinity" without
limitation means robbing it of energetic activity (ibid., 106 f); "the
characterization of the infinite in terms of finitude" allow us to
conceive energy
(ibid.); patterns help in the "awakening of infinitude to finite activity"
(ibid., Ill); patterns of actualities are modes of emphasis, "whereby
finitude vivifies itself into finite activity" (ibid., 112 f).
78 Ibid., 112-113; italics added.
79 Ibid., 112 f.
80 Ibid., 106 f. Since Science and the Modern World Whitehead already
introduced God as the supreme Limit. Not later than in Religion in the
Making, he has realized that this Limit has to be an actual synthesis
itself.
81 Cf. Whitehead, Al, 236; MG, 106 f., 109. Whenever this balance was
brought into peril, the notion of God had to fail, as it did in Spinoza's
"fundamental infinitude" (ibid., 106), Leibniz's "substratum of Deistic
infinitude" (ibid., 106 f), or the Buddhist emphasis on "sheer infinity of
the divine principle" (ibid., 109).
82 Ibid, 106-107.
83 Ibid., 103. In his Adventures of Ideas, Whitehead developed his
doctrine of Immanence as a cure against imposed duality (Whitehead, Al,
129). The pivotal point is that when there is no "outside," there is no
independent external imposition either, that is no "external creator"
(ibid., 236). Within this profound theological background, Whitehead
evaluated his doctrine of Immanence as the important improvement of
Christian theology over against Plato (ibid., 167). Instead of an internal
"second-rated God of the World, who is a mere Icon" of an external
Creator, the Alexandrian theology integrated all aspects into a "mutual
immanence" of God and the World. The Doctrine of the Trinity, of the two
Natures of Christ, and
the immanence of the Spirit in the world interpreted this important
improvement (ibid., 168). Imposition of a limit would disturb this
immanence.
84 Whitehead, MG, 109. The "primordial envisagement" of God indicates the
primordial activity of God as God's self-limitation, self-creation as
actuality, and the Limit as that in which God "creates" possibilities.
This "primordial envisagement is a creation ex nihilo in the sense that
there is no one thing or many things from which it emerges"; cf. Ford,
"Neville on the One," 81.Only retrospectively can we distinguish a
primordial differentiation between infinity and finitude, which is the
basis for all other actual unity of infinity and finitude-the World
(ibid., 112 f; Whitehead, Imm., 80). When Whitehead says that God's
"existence is founded in Value" (Imm. 90), the deepest interpretation may
be that
God is the Supreme Limit of Godself, the self-limitation that grounds the
"essential unification of the Universe" (ibid., 90), the goodness of the
universe, its process and totality, from which there "is no escape"
Page 16
View in PDF(opens in a new window)(ibid., 80). Then (and in this sense), God is the creator of the world ex
nihilo by God's primordial self-limitation. Cf. R. Faber,
Prozesstheologie: Zu Ihrer Wurdigung and kritischen Erneuerung (Mainz:
Matthias Gruenewald, 2000), 524-549.
85 In their philosophical development, both Plato and Whitehead reached a
point
where their major stances seem to disappear. Plato's Ideas, his ultimate
distinct, independent, and unmoved entities vanish. Whitehead's organic
universe, founded on Creativity, God, Forms, and Plurality, moves (again)
into an infinite (conceptual) process (of principles). All distinct
principles collapse, leaving us back with nothing than what Deleuze names
so well "a single and unique 'total' moment, simultaneously the moment of
evanescence and production of difference" (Deleuze, DR, 42). But in the
same moment, a new movement of infinity and finitude appears: the Platonic
process of the Good, Whitehead's organic/chaotic process of Beauty and
Evil (Whitehead, Al, 259), the movement of Imperfection (ibid., 257). Cf.
Deleuze, DR, 28.
86 Deleuze, DR, 28.
87 Ibid., 35; Cf. T. May, "Difference and Unity in Gilles Deleuze," in
Gilles Deleuze and the Theater of Philosophy, eds., C. V. Boundas and D.
Olkowski, (New York Routlege: 1994), 38 f.
88 Deleuze, DR, 29. "Difference in Itself' is "the Whole," either in
extending its benediction to its parts or in reflecting back the misery of
the differences of its parts (ibid., 42). When "determination makes itself
one, by virtue of maintaining a unilateral ... relation to the
indeterminate," Difference arises-and this "difference is monstrous"
(ibid., 29), cruel, of uncensored power.
89 Ibid., 28.
90 Ibid., 42.
91 Deleuze, F, 81.
92 Ibid. Deleuze even recognizes Whitehead's integration of God into the
"chaosmic" process, when he says: "Even God desists from being a Being who
compares worlds and chooses the richest compossible. He becomes Process, a
Process that at once affirms incompossibilities and passes through them"
(ibid.). Deleuze, LS, 103.
94 Deleuze, DR, 36; cf. LS, 102.
vs Deleuze, LS, 103. Cf. C. V. Boundas, "Deleuze: Serialization and
Subject-- Formation," in Gilles Deleuze and the Theater of Philosophy, C.
V. Boundas and D. Olkowski, eds., (New York: Routlege, 1994), 104.
96 Cf. P. Canning, "The Crack of Time and the Ideal Game," in Gilles
Deleuze and the Theater of Philosophy, C. V. Boundas and D. Olkowski,
eds., (New York Routlege, 1994), 74, 90-93. Cf. Deleuze, LS, 88, 107,
162-164, 164-168.
97 Ibid., 62; italics in the text.
98 Ibid., 163.
99 Deleuze, LS, 37; DR, 28.
100 Deleuze, LS, 7; cf. LS, 10; DR, 28. Deleuze calls this surface both a
"pre-- individual transcendental field" (Deleuze, LS, 102) in his early
The Logic of Sense or "the plane of immanence" (Deleuze, WPh, 35 ff) in
his late What is Philosophy? This plane/surface really does not underlie
the "illusion of transcendence," cf. May, "Difference and Unity," 40.
Difference in Deleuze is not transcendence at all, but Immanence as such.
101 Cf. Deleuze, LS, 7, 180.
Roland Faber / University of Vienna
Roland Faber is Professor of Systematic Theology, University of Vienna. He
is the author of Process Theology: Towards its Valuation and Critical
Renewal (2000) and "Trinity, Analogy and Coherence," in Trinity in
Process, J. Bracken and M. Suchocki, eds., among other works.
Copyright American Journal of Theology & Philosophy May 2000
©2000 Bell & Howell Information & Learning Services; All Rights Reserved.
Only fair use, as provided by the United States copyright law, is
permitted. Bell & Howell Learning & Information Services makes no warranty
regarding the accuracy, completeness or timelines of the Publications or
Page 17
View in PDF(opens in a new window)the records they contain, or any warranty, express or implied, including
any warranty of merchantability or fitness for a particular purpose, and
shall not be liable for damages of any kind or lost profits or other
claims related to them or their use.
Portions of above Copyright © 1997-2001, Northern Light Technology Inc.
All rights reserved.
Page 18
View in PDF(opens in a new window)Source: National Catholic Reporter
Date: 11/06/1998
Document ID: PN19981130010005759
Subject(s): Books--Reviews
Citation Information: Start Page: 21(1) ISSN: 0027-8939
Author(s): Farrell, Michael J.
Monuments we have built to our search for meaning.(Review)
(Review) (book reviews)
It is at the same time our blessing and curse not to know what's around
the next corner, never mind beyond the grave.
In a novel by Siberia's Valentin Rasputin one of the characters says, "It
would be amusing, suppose you're alive and well, and there in your
passport next to your birthdate is your date of death." It would get less
amusing, however, as the years passed and then the days and hours.
Ignorance isn't always bad; sometimes it's bliss.
Ignorance has another advantage. It forces us to search for answers, and
our search makes the world go round: figuring will the next pitch be a
curve ball; or will our president be impeached; or will intelligent life
be found in a nearby galaxy; or where will we go when we die.
Our histories have traditionally leaned toward wars and warriors. A review
of the search for answers, while lacking that pungent appeal to the
bloodthirsty, ought to provide a deeper probe of who we are.
Daniel J. Boorstin's The Seekers: The Story of Man's Continuing Quest to
Understand His World (Random House, 298 pages, $25.95) is the last of an
ambitious trilogy exploring the human predicament. While this one volume
can provide no more than a run -- nay, a gallop -- through history, it
serves as reminder of the tenacity and astonishing diversity of our search
since the world began.
It begins with Moses, who was at best a ghost writer for that first great
publishing venture, the two-volume, stone-bound 10 Commandments. Boorstin
goes on to explain how seers, who specialized in the future, gave way to
prophets such as Moses who settled for elaborating the will of God in the
more day-to-day present.
With quick historical sketches, the author elaborates the shifting ethos
of successive eras. Job gets three pages. A glance at Isaiah allows
Boorstin an interesting comment on the place of priesthood. The prophets,
he writes, "could be described as amateurs. For most were not priests.
While their utterances had no authentic seal of a sacred profession, each
had been called in his own way, and so had his own `vocation,' a personal
invitation to speak for God."
Boorstin has been criticized for confining his ruminations, in these days
of multiculturalism, to the experience of the West. He does, though,
devote a token chapter to the place of Muslims, Hindus and Buddhists.
And on to Greece. When it comes to searching for meaning, it's hard to top
Socrates: "Socrates left no writing and no dogma. His radically human
approach to philosophy was expressed in his life. His historic influence
would be not in his answers but in his questions." While his earlier
neighbors such as Thales and Pythagoras flirted with fire, water and other
generalizations, Socrates was more likely to drag you in for a beer and
ask, "What do you know?" (Though, in fairness, Socrates' pal Alcibiades
recalled that "Socrates was never seen drunk.")
We know all this from Plato's dialogues. In "The Apology," Socrates tells
of his interview with a politician: "When I began to talk to him, I could
not help thinking that he was not really wise, although he was thought
wise by many, and still wiser by himself; and thereupon I tried to explain
to him that he thought himself wise, but was not really wise; and the
consequence was that he hated me, and his enmity was shared by
several...."
So Socrates turned to the poets. And found "there is hardly a person
present who would not have talked better about their poetry than they did
themselves." A sharp tongue like that could get a Greek in trouble.
Page 19
View in PDF(opens in a new window)The towering figures of Plato and Aristotle loom above most other seekers
in The Seekers. This creates its own difficulties. Of Aristotle he writes:
"To attempt to summarize his work would be no more useful than to
summarize an encyclopedia" -- words that could be applied to Boorstin's
own book.
"Western history would be dominated by the birth and life of a Galilean
Jew," the narrative moves on. Jesus, however, is not counted among the
seekers -- he didn't come to search for meaning but to impart it. His
followers, of course, have been searching ever since, including searching
for the real Jesus. But Boorstin has room only for occasional highlights,
notably Augustine of Hippo; and some eccentric low-lights that somehow
tickled his fancy, notably the so-called "Donation of Constantine."
The Donation was a supposed grant by Emperor Constantine to Pope Sylvester
I (314-335) of spiritual sovereignty over all the other great patriarchs
and over all matters of faith and worship, as well as temporal sovereignty
over Rome and the entire Western empire. This was allegedly Constantine's
gift to Sylvester for miraculously healing his leprosy and converting him
to Christianity.
Then along came Lorenzo Valla in 1440 to demonstrate "that the `donation'
was only a forgery designed to empower the papacy."
This is not news, though neither is it the kind of thing you'll find in
the catechism. It does bolster Boorstin's contention that "battles between
church and state would punctuate all Western history and leave fertile
ambiguities even in the new world."
The author has a lofty regard for the self-abnegating seekers who went off
alone to the desert or together into monasteries to find a slant on the
meaning of life that was drowned out by the world and even by the church.
But the desert is the world, too, and can still play havoc. Not for the
only time Boorstin picks the oddity to make the point: Simeon Stylites, a
hermit who worked miracles and thus became famous for holiness, a quality
that has never failed to attract even the worldly. To escape his admirers
and suppliants Simeon retreated up a pole and lived there, day and night,
for about 40 years until he died.
Such drawbacks of the hermetic life gradually attracted seekers back to
community in monasteries and such -- Boorstin calls them "islands of
faith." Even these had their ups and downs, decadence alternating with
reform, spiritual triumph with ordinary sin. Precisely because they seem
so in line with Christ's crucial admonition, "Go and sell what thou hast
and give to the poor and come follow me," these erratic religious
communities point up the will-o'-the-wisp quality of the search which,
since the first human scratched her or his head in wonder, has been all
over the lot.
There's a chapter on the medieval universities, one on the varieties of
Protestantism. Then just when the reader thinks we are headed in a
straight line home, the book leaps back to Homer and the heroic past.
Perhaps this should be no surprise -- meaning does not travel down the
straight road, or even the crooked one; it cavorts and doubles back and
fools around.
So we are right back in Greece, with Herodotus and Thucydides, fathers of
history. Then on to Thomas More's Utopia, Francis Bacon's New Atlantis,
Niccolo Machiavelli's Prince. All seekers. We have been a very diverse
race. Dancing around the subject, whatever it is, coming at life from
every angle, colliding with one another in constant battles of egos,
philosophies, theologies and other bones of contention.
"The travail of the seeker is nowhere better revealed than in the life of
the father of modern philosophy," writes Boorstin. He means Rene
Descartes. Many of us grew up being warned by the church against the wiles
and fallacies of the long-dead Descartes. We need not have feared: The
world is surviving him. Besides, according to The Seekers, "He acquired a
Catholic faith that he never lost." For those who don't want to know all
about Descartes -- and certainly don't want, heaven help us, to read his
original works -- these few pages are not a bad place to start. The same
could be said of most seekers in this book.
Page 20
View in PDF(opens in a new window)It's Boorstin's book, so he's entitled to write about whoever he chooses.
Critics, in such cases, tend to complain more about worthies left out than
about imposters allowed in. And, in any case, it would be small-minded of
us to rule anybody out, including you and me: What is intriguing, finally,
about the topic is that we're all seekers with a stake in the subject and
gesturing yea or nay from the bleachers.
Whether the search is getting us anywhere is a matter of opinion, because
we all have our angle. Good cases in point are Voltaire and Jean Jacques
Rousseau. Voltaire is famous for his tragic view of things: "that history
in general is a collection of crimes, follies and misfortunes, among which
we now and then meet with a few virtues and some happy times." But that's
not the half of it: This same Voltaire is the prophet and purveyor Of that
new concept, civilization, which the French Englightenment begat. Writes
Boorstin, "In the idea of civilization Voltaire encourages us with hope
for the common possibilities of the human spirit everywhere."
And Voltaire himself elaborated in his Philosophical Dictionary: "The
great faults of the past are also very useful in many ways; the crimes and
misfortunes of history cannot be too frequently pondered on, for whatever
people say, it is possible to prevent both."
But then there is Jean-Jacques Rousseau (who died the same year as
Voltaire, 1778), who despised civilization, its manifestations in the
arts, sciences and such, and hankered for a return to nature in the savage
but innocent way the creator allegedly gave it to us. Needless to say,
there was more to Rousseau than this, just as there was more to them all.
But now they are at the mercy of scribblers. It's their own fault for not
seeking in silence, like the millions and billions who did their own quiet
seeking and striving and, had Providence tilted a bit, might have left us
monuments to their musings as great as the giants of our intellectual and
spiritual history. It's sad to stop and think what may have been lost or
unrecorded.
Those whose seeking represents their age most eloquently usually survive
best. As the optimism with which our century started turned sour, a
disillusion set in, and searchers of a pessimistic bent resonated. There
is a chapter titled "The Literature of Bewilderment," for example.
Portuguese poet Fernando Pessoa's The Book of Disquietude is typical of
the concerns, which include the alleged death of God. Pessoa begins: "I
was born in a time when the majority of young people had lost faith in
God, for the same reason their elders had it -- without knowing why."
Among the better-known "bewildered" are such literary types as Harold
Ionesco, Eugene Pinter and Albert Camus, who writes in The Myth of
Sisyphus, "A world that can be explained even with bad reasons is a
familiar world. But, on the other hand, in a universe suddenly divested of
illusions and light, man feels an alien, a stranger. His exile is without
remedy since he is deprived of the memory of a lost home or the hope of a
promised land."
This disorientation was even more eloquently expressed in the absurdist
drama of Samuel Beckett, especially his play, Waiting for Godot, in which,
as one character puts it, "Nothing happens, nobody comes, nobody goes,
it's awful."
England's Lord Acton, who died in 1902, and whose family was famous for
being Catholic and getting away with it for centuries, was, according to
Boorstin, "the perfect embodiment of the seeker -- too Catholic to
renounce the wisdom of the past and too searching not to follow the
inquiring spirit of his age." He spent his life preparing to write a
history of liberty but never got it together, indeed never really got it
started. He referred to the non-work in progress as "The Madonna of the
Future," the title of a Henry James short story about an artist who
devoted his life to a single painting, but when the artist died the canvas
on the easel was found to be blank.
Boorstin devotes the last chapter to Albert Einstein and his yen for
unity, a chimera that has always beckoned to seekers. But the penultimate
chapter, on Henri Bergson (1859-1941), seems a more cheerful note to end
Page 21
View in PDF(opens in a new window)Western science had been in the ascendancy for some time, using reason and
experience as solutions to the problems posed by nature and life. The
conversation, presided over by the likes of Francis Bacon, Isaac Newton
and Charles Darwin, had become increasingly mechanistic and materialistic.
Along came Bergson who said wait a minute, the science card and the
rational card do not explain human consciousness and most people's lived
experience. Round every corner is that je-ne-saisquoi, a secret not yet
unlocked. His Creative Evolution, published in 1907, had at its heart the
famous elan vital, a vital impulse that is hard to fit into a formula but
is recognizable as a something beyond nuts and bolts that makes us tick
and makes us human. Writes Boorstin: "Bergson's role in an age of rising
faith in science was thus to liberate seekers from the search for system
and dogma, and to justify their joy in the search"
Bergson added a poetic dimension to the scientific search, appealing to
intuition to leap from fact to fact and imagine a more coherent meaning
for the whole. Evolution, he wrote, is God's "undertaking to create
creators" -- an insight that might spur seekers into action.
We seem to be going through difficult times, in America and everywhere:
more adrift than usual; more stressed and impatient and driven by negative
impulses from road rage to loathing for government. Reading an old book by
Carlyle or Emerson won't solve what are clearly deep personal and communal
problems, but it might give perspective and ease the anxiety.
Our problem is that we're between stories, Diarmuid O'Murchu explained in
Quantum Theology (Crossroad, 1997). The old answers are not working. On
the brink of a brand new century and millennium we ought to be upbeat and
excited, but as a species we're depressed instead, stalked by ennui and
discouragement.
This could be the ideal climate for new seekers.
Michael Farrell is editor of NCR.
COPYRIGHT 1998 National Catholic Reporter
COPYRIGHT 1998 Information Access Company
Page 22
View in PDF(opens in a new window)Source: Journal of Ukrainian Studies
Date: 07/01/1998
Document ID: PN19991030010054146
Citation Information: ISSN: 0228-1635; Vol. 22 No. 1; p. 65
Author(s): John Fizer
Skovoroda's and Socrates' concepts of self-cognition: A comparative view
Since the middle of the last century, Hryhorii Savych Skovoroda, the
eighteenthcentury Ukrainian polyhistor, has been hailed by Russian and
Ukrainian scholars as, correspondingly, the Russian or the Ukrainian
Socrates. To those Russians who perceived the history of Russian
intellectual thought from the perspective of imperial historiography,
Skovoroda, the first secular philosopher in the Russian Empire, had to be
made equal with the pre-eminent thinker in the occidental world. Their
imperial ideology was in need of a luminary of such dimension.' In their
quest to underscore the Skovoroda-Socrates affinity, they claimed the
"discovery" of a lost work by Skovoroda in which he expressed his desire
to be a Russian Socrates. In it, it was alleged, he wrote: "Hallowed be
Thy name in the thought and intentions of Thy servant who has intended
with his mind and desired with his will to be a Socrates in Russia."2 But
a linguistic analysis of this work, and its comparison with Skovoroda's
authentic works, proves it to be a crude forgery, reminiscent of forgeries
such as that of James Macpherson in Ireland or of the Kralevohrad
manuscript in Bohemia.
The Ukrainian references to Skovoroda as the Ukrainian Socrates have been
motivated by a different set of reasons. His itinerant and mendicant
existence, his preoccupation with teaching and preaching ethical norms of
behaviour, and his dialogical mode of writing evoke similarities with
Socrates. This was well summed up by Dmytro Chyzhevsky: "The ethical
pathos of Skovoroda reminds us of Socrates but not only of Socrates, since
he himself [Skovoroda] refers with equal reverence to Epicurus and
Protagoras. His pathos resembles the ethical mood of moral philosophers of
antiquity in general. "His life," Chyzhevsky continues, "is somewhat
reminiscent of Socrates' life, but his ethical views ... have little in
common with Socrates' ethical intellectualism. Skovoroda's ethics follows
the path of Plotinus and the Church Fathers."3
Although Chyzhevsky's conclusion is sound, the epistemological and ethical
views of these two thinkers must be confronted more closely in order to
find out whether indeed they do resemble each other in any way. By such a
confrontation I am not implying, as did some Russian writers, the
epistemic equivalence between the two in the history of philosophy. The
disparity between them is too obvious even to suggest that. Socrates,
justifiably so, has had a supranational significance, while Skovoroda has
remained a circumscribed figure. More to the point, while Socrates'
concept of self-knowledge, sofrosyne, has become a topos in Western
philosophy, that of Skovoroda has remained, even in modest East European
philosophy, mostly unheeded.
At the very centre of the philosophical concerns of both Skovoroda and
Socrates is the issue of self-knowledge or self-cognition, an issue that,
beginning with the Cartesian school, has continuously attracted the
attention of philosophers, psychologists, pedagogues, and lately even
neurologists.
Skovoroda's concept of self-cognition has been commented upon, albeit
often superficially and tendentiously. Indeed, many of Socrates' thoughts
reverberate in Skovoroda's dialogues, even though, as Chyzhevsky
concluded, they are not the sole source of his philosophy. I do not share
Chyzhevsky's claim, however, that Skovoroda is more pre-Socratic than
Socratic, simply because in his language, unlike Socrates, he relies
heavily upon tropes and symbols rather than upon direct denotation. I
believe that Skovoroda's interest, like that of Socrates, in the basic
matter out of which everything is generated was limited, and that he, too,
should be termed a moral philosopher. In his Apology, Socrates stated:
Page 23
View in PDF(opens in a new window)"The simple truth is, O Athenians, that I have nothing to do with physical
speculation," namely, whether the basic matter of all elements is water,
fire, air, or what have you. Socrates shifted the immovable foundation
from the facts of the world to the facts of the human psyche. On this
score Skovoroda's and Socrates' attentions indeed converge.
Socrates' concept of sofrosyne, as much as can be known since Plato wrote
the Socratic dialogues, have been thoroughly scrutinized. Commentaries on
practically every utterance in these dialogues continue to grow as if they
still contain some latent meaning. To me, a lay philosopher, the "Socratic
problem" therefore seems to be less the authenticity of Socrates' voice
than the enormity and diversity of these commentaries. As is well known,
aside from Plato's Laws there is no written work in which Socrates is
absent. Hence which voice is Socrates' and which is Plato's has often been
a matter of contention.4 I therefore accept Socrates as Socrates wherever
he appears as he appears, except where he postulates the theory of Forms
or Ideas. In these cases, it seems to me, the voice is explicitly Plato's.
My summation of Socrates' sofrosyne is based on the Alcibiades Maior,
Charmides, Gorgias, Republic, Meno, and Parmenides. It is generally agreed
that in these dialogues the term sofrosyne is polysemous, with multiple
denotative and connotative meanings functioning as the antidote to hubris,
and that to Socrates it was the most important of all virtues. Some of
these meanings are: selfknowledge, self-control, caring for oneself, inner
discipline, the health of the soul, knowing what one knows and what one
does not know, the science of all other sciences, that within us by virtue
of which we are wise or foolish, and soundness of mind. Often Socrates
combines sofrosyne with av*pea (valour), aca (ingrained beauty of
character), evrar$zg (good order of the soul), and qpoveco (sagacity). All
of these interrelated functions distinguish us as humans and, as such, act
as predicates of our mind, soul, and self-our eidos. In the Euthydemus,
sofrosyne is attested by the Oracle of Delphi as "know thyself" (yvwOi
aI)rov).
How can the soul know itself and thus discover itself? To Socrates the
soul is "that which is self-moving" and endowed with an organ to learn the
truth. This organ, or "eye of the soul," originally buried in the mud, is
gradually drawn and led upward by the dialectical method to the highest
level of intelligibility. We read in the Alcibiades Maior that "knowledge
of thought is the most divine part of the soul." As one eye sees itself
reflected in another, so the soul sees itself reflected in another soul,
especially in that region where its noblest and divine powers dwell-the
region of knowledge.
To reach the highest level of intelligibility, self-knowledge, like the
empirical knowledge of external reality, must be systematic, focussed, and
sequential; that is, it must be "in the order of succession." Sofrosyne
thus leads from darkness to light, from unawareness to self-revelation.
From a narrow epistemological perspective, sofrosyne is the only absolute
knowledge that one can have. Empirical knowledge of the world, its origin,
its nature, and its end, fascinating as it might be, does not yield an
apodictic and necessary truth. For this reason it cannot be the quest of
philosophical inquiry. Epistemology or understanding (eorzar/pu),
therefore, is inevitably grounded in self-cognition, in the discovery of
the soul as the seat of moral ideas or virtues. It is bound with ethics
rather than with psychology or anthropology. Hence sofrosyne is not mere
introspection of one's inner experiences, but rather a systematic and
dialectical inquiry into the eidos of one's soul and thereby into the
ethical and metaphysical dimensions of our existence.
How does Skovoroda's "philosophy of the heart" relate to Socrates'
"philosophy of the soul"? If we substitute the term "heart" with the term
"soul," as Skovoroda himself often does, the surface affinity between
their systems becomes striking.5 But the conceptual relation between them
is much more complex than that. Socrates and Skovoroda postulated the
existence of the endogenous structure that makes epistemology rely upon
man's keen awareness of a priori existing knowledge. In Skovoroda,
Page 24
View in PDF(opens in a new window)however, this structure is considerably different from that in Socrates.
How does this structure operate in both philosophers, specifically in
their theories of knowledge, ethics, and metaphysics?
Sofrosyne, as the soundness of mind or temperance, as o0za, is central to
Socrates' theory of knowledge. It differs from all other modes of
knowledge in that it does not have an object that is different from
itself. Sofrosyne therefore is the simultaneity of subject, predicate, and
object. In his Narkiss, Skovoroda, like Socrates in the Euthydemus, urges
his interlocutor to care only about one thing: "Know thyself, listen to
thyself, look into thyself."6 Self-knowledge is the basis of all other
knowledge. To this extent Skovoroda emulates Socrates. But, unlike
Socrates, along with the cognition of one's soul Skovoroda derides the
body, perceiving the soul and the body antithetically and presenting them
correspondingly as truth and illusion, as beauty and dirt. Such derision
of the body was inconceivable not only to Socrates, but also to most Ionic
Greeks. In the Gorgias and Charmides, Socrates defends the importance of
both. Sofrosyne of the soul, he maintains, helps to keep the body in good
health. To use the modern term, Socrates upholds the psychosomatic
compatibility of the body and the soul. He insists that Eros, as a great
demon (Oaz*oviov), manifests itself as the desire of both the body and the
soul. The soul and the body cannot be conceived separately. Skovoroda, on
the other hand, conceives of the body as a temporary prison of the eternal
soul, which has but one quest-to part with the body and reunite with God.
Another essential component of Skovoroda's epistemology that sets him
apart from Socrates is his insistence upon faith as a principal source and
guarantor of genuine knowledge. In the first conversation of Skovoroda's
Narkiss, the protagonist Luka is told by Druh ("Friend," namely,
Skovoroda) that "faith despises appearances and relies upon what, in the
emptiness, is the head, power, and foundation and never dies." Luka asks
Druh: "why did you speak about faith and now speak about an eye?"' Druh
replies: "'A genuine eye and faith are one and the same.... because a
genuine person has a genuine eye that, by bypassing appearance, sees under
it [something] new and rests upon it. That is why it is called faith. To
believe and to rely upon something, as on a firm foundation, all that is
one and the same thing."" Translating this dialogical exchange into a
formal definition, Skovoroda asserts that the validity of anything as true
is independent of observation and the adequation between perceptual
evidence and inductive judgment. Hence, as a basically idealistic theory
of knowledge it is much closer to the Neoplatonist philosophy of Plotinus
than to Socrates' rationalistic philosophy.
By stating this, I do not want to reject any and all affinity between
Skovoroda's and Socrates' epistemologies. Like Socrates, Skovoroda
believed in self-knowledge as anterior to all knowledge. "One who is
unable to look first into one's flesh," he writes, "cannot discover the
design in the materials of earth and heaven"; "[t]he seeds of all sciences
are hidden within man"; "he is their secret source"; and "[a]ll knowledge,
in its essence and its base, is selfknowledge." Similar assertions recur
in his dialogues, sermons, and treatises. Despite a different mode of
linguistic rendition, Skovoroda's dialogues, like those of Plato, are
aporetic in that they proceed from intentional ignorance to demonstrated
illumination. Here I again disagree with Chyzhevsky, this time concerning
Skovoroda's and Socrates' use of language. It is true that Plato's
dialogues are not as rich in imagery and symbolism as Skovoroda's, and
hence do not evoke as varied a reality as those of Skovoroda, but this
does not mean that Plato was less interested in the referent function of
his language. Being also a poet, Skovoroda deliberately chose a highly
figurative style, which was prevalent during the baroque period. In the
first conversation of Narkiss, Druh (i.e., Skovoroda) instructs Luka this
way: "`Don't be empty-headed. Examine every word warily. At the same time
secure a spot for it in your heart. I myself love this thought ineffably.
And I wish it would be yours forever so that our hearts and thoughts would
be one. Nothing could be sweeter that this. But, please, first ponder it
well.... Be simple. But at the same time be cautious."'8 Hence semiotic
Page 25
View in PDF(opens in a new window)contact and semantic oneness with his audience was also Skovoroda's
express goal.
Skovoroda's epistemology, like that of Socrates, is subservient to ethics
and metaphysics. Ultimately, he insists, knowledge must apprehend the most
divine components of the heart, that is, God and thought (Teo Kai ppovea)
in their complementary relationship. The reflexive activity of our heart,
he postulates, is deeply grounded in our ethical and metaphysical
exigencies. In the third conversation of Narkiss, Druh (i.e., Skovoroda)
tells his interlocutor, Kleopa, that to measure and to know what
measurement is without knowing the plan behind it is a futile undertaking:
"`Even if you were to measure all of the Copernican worlds, without
discovering their plan, which supports all of the exteriors, nothing would
come of it."'9 Knowledge (measurement) divorced from its plan, its telos,
is sterile sophistry. To conceive of this plan, however, one has to have
it in one's heart. "`Who can know the plan in the earthly and heavenly
extended materials that are attached to their eternal symmetry if one can
not see it first in one's insignificant body?10
How is the genesis of this anterior knowledge explained by Socrates and
Skovoroda? In Meno Socrates tries to prove that all knowledge is but a
recollection (avauveca) of what the soul has already known in a previous
existence. Thus a person who is ignorant, like the boy Meno, may have a
true opinion on a subject that he does not know consciously. From this
example Socrates infers that if Meno had arrived at the knowledge of the
Pythagorean theorem, of which he initially was not aware, he must have
known it before he was born; ergo, his soul must have always existed.
Skovoroda also speaks about the anterior knowledge in the human heart, but
he ascribes it to a divine plan that "is extended throughout the entire
cosmos nonsensibly and contains and performs everything." Hence "man and
God are the same."" To know, therefore, is "to refrain from hindering the
wisdom that lives within us."
The difference between Skovoroda's and Socrates' metaphysics is equally
profound. Skovoroda's is manifestly theocentric, while Socrates' is
anthropocentric. Nowhere does Socrates equate man and God, while Skovoroda
frequently does. The sofron, the wise and just man, Socrates says, is dear
to God, and by his virtues he might even resemble Him, but he is not and
never will be God. His knowledge therefore is and always will remain
incomplete, while that of God is and always will be perfect.
In view of these differences, are Skovoroda's dialogues truly Socratic,
and would Socrates, as George Kline believes, have recognized the
questions that they deal with as his own?'2 I doubt it very much. Unlike
Socrates, Skovoroda conceived of the cosmos in terms of three concentric
circles-the macrocosm, microcosm, and symbolic cosmos. "The first world,"
he writes, "is universal, and the inhabited world is where all born things
dwell. It consists of innumerable world-worlds and is a large world. The
two other worlds are partial and small. One is a microcosm, that is, a
small world, or man. The other world is symbolic, that is, the Bible.""3
The macrocosm and microcosm have two antagonistic natures-ne material,
which is visible, the other spiritual, which is invisible. The second
penetrates and sustains the first. What is interesting here is that
Skovoroda's "Dialoh. Imia emu-Potop zmiin" (A Dialogue Called the
Serpent's Flood), in which he summarizes his cosmological theory, is based
on Plato's concept of forms.
Skovoroda's quasi-pantheistic theory is nowhere to be found in Socrates.
The "things above" (ra uereopa) Socrates claimed not to know. Conceiving
everything from the perspective of man, Socrates thus projected
anthropology into cosmology rather than vice versa. In the Gorgias, for
example, the cosmos is seen as an analogue of man's well-ordered life. The
ordered movement of the universe reflects the perfect human soul. But when
Skovoroda argues that man, a small cosmos, functions within the large
cosmos and is imbued with one and the same living soul, this is a
Pythagorean idea rather than a Socratic one.'4
Whence does Skovoroda's terminology of macrocosms and microcosms derive?
It is most probably borrowed from the Stoics, who made no distinction
Page 26
View in PDF(opens in a new window)between God and the world. What God is to the world, they claimed, the
soul is to man. Hence the world is the macrocosm and man is a microcosm.
The soul is the ruling part of man and is possessed of reason. But
Skovoroda took only this from the Stoics, to whom physical and spiritual
realities were synonymous with corporeality. Otherwise, they believed, the
reciprocity between the body and the soul would be inconceivable. To
Skovoroda the spiritualist, such a view would have been tantamount to a
denial of God.
What should we conclude in regard to the alleged affinity between
Skovoroda and Socrates? First and foremost that the claims, both Russian
and Ukrainian, that Skovoroda's philosophy emulates that of Socrates is
more a compensatory wish than a textual fact. An attentive reading of
Skovoroda's dialogues leads us to conclude that his philosophy is highly
eclectic, drawing upon a great many ancient philosophers (among them
Pythagoras, Socrates, Plato, Aristotle, Epicurus, Plutarch, Plotinus, and
Seneca) and, judging by his frequent references to the Church Fathers,
upon their writings as well. Yet, despite such an assortment of often
mutually exclusive sources, his philosophy is remarkably coherent. How
then did he achieve this coherence? To obviate conflicts, Skovoroda
skilfully extrapolated from these sources only those statements or often
only expressions that validated his suppositions. Thus, from the Stoics he
took the concept of macrocosms and microcosms, but refrained from their
materialistic monism. From Socrates he took the concept of sofrosyne, but
ignored its polysemy and its broad applicability.
If we were to correlate Skovoroda with a single Greek philosopher, in
matters of nature and the structure of all reality it would have to be
Plotinus. Like Skovoroda, albeit in more dramatic terms, Plotinus
conceived of Being as made up of One and of the Soul emanating from it. To
Skovoroda self-cognition was not, as Socrates thought, one of the multiple
predicates of our mind, but the soul's contemplation of One. To know One,
Skovoroda believed, meant to become one with it. In the moment of such a
cognitive union the soul becomes God. It reascends to its original source,
surrendering to One. Matter to Skovoroda, as to Plotinus, was non-being,
the darkness into which the One shines. It is the evil principle, a
formless quantity that receives its illusory form from the soul.
Interestingly, the language of Plotinus's Enneads, very much like that of
Skovoroda's dialogues, is excessively metaphorical.
Nowadays the question of whether Skovoroda was or was not a philosopher,
which some writers posed in the past,5 appears to be paralogical, simply
because there is no one apodictic definition of philosophy. If, however,
we accept its etymology as its defining criterion, then Skovoroda must be
recognized as a true philosopher.
1. See Grigorii P. Danilevsky, "Grigorii Savvich Skovoroda," in his
Sochineniia, vol. 8 (St. Petersburg, 1902), 326. Gustav Shpet saw in this
laudation of Skovoroda as a Socrates or a Plato "a very big desire to have
in the eighteenth century the first serious Russian philosopher" (Ocherki
razvitiia russkoi filosofii [Petrograd: Kolos, 1922], 69). Vasilii V.
Zenkovsky, while avoiding the "Russian Socrates" cliche and recognizing
Skovoroda's connection "with the ecclesiastical life of Ukraine,"
nevertheless regards him "universally Russian in importance" and hence
"occupying a legitimate place in the history of Russian philosophy" (A
History of Russia Philosophy, vol. 1 [New York: Columbia University Press,
19521, 54).
2. George L. Kline, introduction to Russian Philosophy: An Historical
Anthology, vol. 1, The Beginnings of Russian Philosophy: The Slavophiles,
the Westerners, ed. James M. Edie et al. (Chicago: Quadrangle Books,
1965), 17.
3. Dmo Chyzhvsky, Narysy z istorii filosofii na Ukraini (Prague: Ukrain
idsychyi fond, 1931), 39.
4. "The line between Socrates and Plato is hard, if not impossible, to
find" (Plato, Meno: Text and Criticism, ed. Alexander Sesonske and Noel
Fleming [Belmont: Wadsworth, 19651, 1).
5. Belief that the heart is the seat of the soul goes back to the
Page 27
View in PDF(opens in a new window)pre-Socratic period. Hippocrates wrote: "Some people say that the heart is
the organ with which we think and that it feels pain and anxiety. But it
is not so. Man ought to know that from the brain and from the brain only
arise pleasures, joys, laughter and tears. Through it, in particular, we
think, see, hear and distinguish the ugly from the beautiful, the bad from
the good, the pleasant from the unpleasant.... To consciousness the brain
is the messenger" (as quoted in Wilder Penfield, The Mystery of the Mind:
A Critical Study of Consciousness and the Human Brain [Princeton:
Princeton University Press, 1975], 7). Skovoroda's symbolic use of the
term "heart" is grounded in the Bible. He writes: "As [St.] Jerome has
taught us, and we do believe him,... the true person is the heart in the
person" ("Narkiss. Razhlahol o tom: uznai sebe," in Hryhorii Skovoroda,
Tvory v dvokh tomakh, vol. 1, ed. O. I. Biletsky et al. [Kyiv:
Vydavnytstvo Akademii nauk Ukrainskoi RSR, 1961], 49).
: . Skoda, "Nki-," 27. 7 Ibid. 36-7. ':00000-00V'
8. Ibid., 34-5. 9. Ibid., 41. 10. Ibid., 42.
11. "Dialoh. Imia emu-Potop zmiin," in Skovoroda, Tvory, 1: 536. 12.
Kline, 17.
13. Skovoroda, "Dialoh," 536.
14. The similarity between Skovoroda's and Pythagoras's views is not
accidental. Skovoroda made frequent references to Pythagoras. For example:
"They [Pythagoras and his disciples] always believed that the mysterious
person of our heart is of the same
essence and nature as the most blessed spirit that well governs the
universe's machines" ("[Tsitseron. O starosti]," in Skovoroda, Tvory, 2:
186). 15. The first refutation of Skovoroda as a philosopher was made by
Illarion Chestovich:
"The goal and boundaries [of philosophy] are well established, and
therefore it is difficult to escape being out of touch with time by
introducing into it such a would-be philosopher as Skovoroda" (Istoriia
Sankt-Peterburgskoi dukhovnoi akademii [St. Petersburg, 1857]), 296). In
1922 Shpet expressed a similar view: "Those few thoughts in Skovoroda that
remind me of philosophy, and around which his fantasy and instructions
ferment, hardly rise above the level of generalities and truisms
concerning philosophy" (Shpet, 69).
Copyright Canadian Institute of Ukrainian Studies Summer 1998
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