fuscum-sub-nigrum

Spinozist musings

Everything happens as if...(the indeterminate accord of the Idea)

Within a transcendental framework, the act of thinking cannot determine existence. 

 

"Thought forms me, I is another": Rimbaud's formula.  

 

On the sub-representative plane, the ends or interests of faculties are determined through their relations both to sensation and other faculties. It is necessary to understand what faculty legislates (and by what right it legislates) and under what conditions faculties may enter into free accords. This is the basis of critique which overcomes "common sense" (determination) in favour of genesis.

 

Consider the Kantian transcendental Idea, appreciate the beauty of the proposition. Reason, when submitted to the legislation of the understanding, constructs Ideas and forms indeterminate accords with the content of phenomena, the nuomena. 

 

An Idea is thus a singularity, a type of ideal horizon, a coagulation belonging to the speculative interests of reason: a problem, sign or symbol. The idea is indeterminate, an "attractor" towards which the concepts of the understanding infinitely converge. Let us look closer at Kant's transcendental architecture and how it leads to the notion of the Idea as problem.

 

In the Kantian transcendental critique, the "power of thinking" and the "power of judgement" are one and the same. One thinks when one produces concepts. The Urteil (judgement) is the central cognitive faculty of the human mind. The Urteilskraft (power of judgement) is an immanent cognitive capacity, one that produces empirical knowledge, but not without help from the faculty of reason: "without reason the understanding would not reunite into a whole the set of its moves concerning a concept." (1)

 

In the act of thinking, the faculty of the understanding legislates over the faculty of reason. Reason's talents (in this case speculative) take on specific powers in this relation in which it must submit to the legislation of the understanding: "understanding judges and reason reasons." (2) Kant follows the Aristotelian doctrine in which reason is defined as being a fundamentally syllogistic apparatus. Pre-Kantian notions of knowledge were founded primarily on the subject-predicate grounded on the faculty of reason. Kant instead ascribes knowledge to judgement, not reason,  a move which radically displaces the possibility of a presupposed subject-predicate genus.   For Kant a judgement is "a radically" new conception of knowledge as a higher order binding function for different types of lower-order objective representation content." (3)

 

In order to understand how this binding functions, we must examine the substructure of the relation between the faculties of the understanding and of reason, keeping in mind that in the Critique of Pure Reason it is the understanding which legislates over the faculty of reason in the interests of knowledge.

 

Reason, as a faculty which has as its "higher ends" a striving for systemic unity, will, given any concept from the understanding, search for a "middle term" which "conditions the attribution of the first concept to an object." (4)

 

"All men are mortal, Caius is a man, therefore Caius is mortal." 

 

Reason, given the first concept (mortal), searches for a second concept (man) which conditions the first concept and extends its attribution to an indeterminate object (Caius). Reason's interests and unique talents are therefore aimed at bestowing unity on concepts and phenomena. Through its operations, reason confers to the understanding the right to knowledge through its "binding" of a first concept to a second atrributed to an object of experience. The legislative acts of the understanding constitute the "series of conditions" but only reason can confer unity amongst its conditions. 

 

But reason, operating within a framework in which it is submitted to the actions of the understanding, runs into a problem: if the a priori categories (concepts of the understanding) are applicable to all objects of possibile experience, reason cannot look for another concept to act as a middle term in conditioning the attribution of the first concept.

 

Reason's problem is therefore the existence of a priori concepts. As the categories are "applicable to all objects of possible experience" reason cannot find a middle term amongst the categories in order to attribute a priori categories to all objects.

 

Reason, in order to attribute categories to all objects, must form Ideas, transcendental Ideas. Here reason is induced by "its own speculative interests." (5) The Idea is therefore a device (singularity, coagulation) of reason which permits reason to continue its speculative search for system unity (application of concepts to all objects) beyond experience. Ideas represent "the totality of conditions under which a category of relation may be attributed to objects of possible experience." (6) 

 

Ideas are therefore unconditioned, and exist in relation to a single concept or category: the Idea of the soul in relation to the concept of substance, the Idea of the "complete series" or world in relation to the concept of causality and the Idea of the "whole of reality" or God in relation to the concept of community.

 

As reason strives for the unity of categories and objects, the Idea must be considered through both its subjective and objective points of view. From a subjective point of view, Ideas reunite into a complete set of actions the activities of the understanding and intution. Ideas act as "ideal foci outside experience towards which the concepts of the understanding converge." (7) Reason subjectively creates "higher horizons" which reflect the concepts of the understanding.

 

Objectively, Ideas grant "material opportunity" to the understanding. This is due to the fact that the understanding legislatives over phenomena formally. The content of phenomena (the noumena) are beyond its scope. Without reason, the understanding would loose its legislative power over phenomena which would remain as nothing more than "radical diversity."

 

Phenomena must therefore submit to the legislation of the understanding not only formally (submitting themselves to the categories alone) but the must submit their content to Ideas: the noumena must "correspond to, or symbolize, the Ideas of reason." (8) 

 

There thus exists a harmony between the noumena and the Idea. Differently from the "pre-established" harmony of Leibniz, however, this harmony is simply "postulated" by Kant. Reason does not and cannot legislate over the content of phenomena, it can only presuppose "a systematic unity of Nature." (9) But this presupposition is a problem or limit, a limit at infinity: all of reason's actions are carried out in relation to this limit.

 

The Idea and the noumena thus share an indeterminate accord, as the Idea is driven by reason's intrinsic drive for unity in phenomena or Nature. This accord exists on condition that the Idea be indeterminate: unity, as limit, is the Idea as problem.

 

Reason is the faculty which says: "everything happens as if..." and the Idea is the locus of its indeterminate speculative drive. The Idea cannot ascertain the totality and unity of conditions given in the object, "but only that objects allow us to tend towards this systematic unity as the highest degree of our knowledge." (10)

 

Let us briefly return to Descartes, Cogito Ergo Sum. Being is indeterminate. Thinking is the act of determination: "I think determines my existence." 

 

On Kant's transcendental ground, the nature of determination itself has radically changed.

 

The Idea is thus: indeterminate in its relation to its object, determinable by analogy with the objects of experience and possessing an infinite determination in its relation to the concepts of the understanding (this is because the Idea can functions as singularity or ideal focus towards which concepts of the understanding converge, as if it was a horizon). 

 

In Kantian terms, the "I think" can determine an indeterminate existence only under the form of the determinable, only on the condition or "under the form of a passive being in space and time." (12) Thinking is an act, but an act in which "I can only represent to myself in so far as I am a passive being." (13)

 

Indeterminate in relation to their object, determinable in relation to the noumena by analogy, and of an infinite determination in relation to the concepts of the understanding. These are the terms on which Difference & Repetition will seek true genesis.


 

(1) Gilles Deleuze. Kant's Critical Philosophy

(2) Ibid

(3) Kant's Theory of Judgement. Stanford Encyclopedia of Philosophy

(4) Gilles Deleuze. Kant's Critical Philosophy

(5) Ibid

(6) Ibid

(7) Ibid

(8) Ibid

(9) Ibid

(10) Ibid

(11) Ibid

(12) Gilles Deleuze. Cours Vincennes. Kant. 21.03.1978

(13) Ibid

 

Filed under  //   Deleuze   Idea   Kant   Noumena   Transcendental  

Transcendental Reason: the higher interests of nature and culture.

Crisis and critique are virtually inseparable. The etymological foundations of crisis: Gk: krisis, “the turning point of a disease.” Critique: krinein, to “sieve, separate or judge.” Crisis as an instant of absolute caesura, the pure present, with critique as its abstract operator. The pure present of critique which catalyzes a dissymmetric distribution of the Kantian empty form of time: a “before and after which no longer rhyme together.” (1) The “unbent” time of the Sophoclean tragedy where God is no longer the master of duration.

The Kantian critical turn unfolds from within the ground-zero of rationalism’s terminal crisis: theological reason will contract and disintegrate giving way to an “interior limit to thought which works from the inside.” (2) Rationalism’s final attempt to salvage classical reason, granting God ontological and immanent status will fail because it will demand the sacrifice of human sensibility: “a crisis in theology implies a crisis in ontology.” (3)

But if theological reason will give way to human reason it will do so only at a cost, and reason must unveil its “higher interests,” submitting itself to the transcendental critique. The rationalist can sustain an isomorphism between reason and true knowledge only because God grants him the right to do so. In other words, God grants the rationalist culture by securing an undeniable link between reason and true knowledge.

The empiricist, on the other hand, submits the ends of reason to the “basic affectivity” of nature. The ends of reason for the empiricist are therefore nature. What rationalism and empiricism have in common is that both ascribe to reasons ends not properly its own: therefore the difference between rationalism and empiricism is not as great as if often supposed: both ultimately submit reason to transcendent ends. Reason as a means of culture or reason as a means of nature. Under Kantian transcendental critique, reason will have to testify to its own ends through immanent means, in the absence of both God and nature.

Reason must reveal its own interests. And Kant will conclude that reason, as an immanent (and no longer transcendent) faculty is “profoundly interested” (4) Furthermore, reason has interests which differ in kind: speculative, empirical and practical interests. 

And herein lies the error of the rationalists, at fault for having inflated speculative reason alone while believing that the practical and empirical interests of reason are merely derivative of its speculative interests. The consequences of which lead to a misunderstanding of the “real ends of speculation” (5) and of restricting reason to only “one of its interests.” (6) Under rationalism, reason’s “deeper interests are mutilated.” (7)

Now for Kant the Idea is a device of reason: something quite different from the Concepts of the understanding. Concepts condition, Ideas regulate. Reason, as a speculative faculty capable of overcoming the conditioning the empirical sensibility, must either legislate through its synthetic striving or submit to the legislation of other faculties. And so begins the crisis of human reason.

 

(1) Gilles Deleuze. Kant. Cours Vincennes. 21.03.1978

(2) Ibid

(3) Christian Kerslake. Deleuze’s ‘Reconstruction of Reason.’

(4) Gilles Deleuze. Kant’s Critical Philosophy

(5) Ibid

(6) Ibid

(7) Ibid

 

Filed under  //   Deleuze   Kant   Reason   Transcendental  

Transcendental Echoes: Deleuze, Kant & Grounding.

Reading through Kerslake’s “Immanence and the Vertigo of Philosophy,” one senses a sort of drive to properly contextualize Deleuze’s oeuvre in the wake of its bacchanal diffusion of the last decade. Foucault’s ironic comment (friendship does indeed place distress in thought) that perhaps the past century will be remembered as Deleuzian echoes in its irony and incision. Yet one still doubts that either could have forseen the tempest of academic capitalization and fragmented secondary literature-clutter destined to orbit the post-Deleuzian world. Deleuze’s legacy (if indeed legacy in a strictly predicative sense is applicable) has been atomized to such an extent that separating original works from secondary interpretations becomes a complex and daunting task. Deleuze’s shunning of method, of course, adds to the problem of contextualization (a movement which seems to be well under way) and  yet we must keep in mind at the same time Deleuze’s very particular approach to the history of philosophy which stems in part from the works of Martial Guéroult: a history of becoming at the heart of being which permits for the extraction of singularities from even the most seemingly conservative thinkers.

 

Kerslake sets out on the task to contextualize Deleuze within the history of philosophy as being post-Kantian, albeit an idiosyncratic form of post-Kantianism. Against the more fashionable attempts to associate Deleuze with strict forms of materialism. As Kant has gained a great deal of importance in contemporary debates between realism and idealism, this enterprise is inherently risky as Kant is often read as a point of caesura. The pre-Kantian and post-Kantian world, the Copernican revolution. The particular vantage point of Kant at the intersection of rationalism and empiricism is taken as a fundamental reference point for both the grounding of thought and the status of the real. And Kerslake’s inquiry into the role of Kant in Deleuze’s oeuvre in indeed relevant in this sense for undoubtedly the Kantian transcendental project is essential to understanding Deleuze’s aims.

 

Kerslake cites two example which demonstrate the confusion associated with Deleuze’s relation to Kant. The first, Manuel De Landa’s widely popular “Intensive Science and Virtual Philosophy” interprets Difference & Repetition practically with no reference whatsoever to either Kant or epistemological problematics of any sort. The second is Hallward’s equally popular  “Out of This World: Deleuze and the Philosophy of Creation”in which Deleuze is defined essentially as a “pre-Kantian.” Deleuze as realist, virtual-materialist or Deleuze as scholastic mystic or monist rationalist. Kerslake’s inquiry into the foundational role between Deleuze and Kant is more than welcome, as this inquiry will require returning to the earlier works of Deleuze in order to better scrutinize the foundations of Difference & Repetition. Kerslake’s message is clear: overlook Kant at your own risk.

 

Kerslake’s conclusions, that Deleuze should be soundly situated within a framework of post-Kantian metacritique, however, are questionable. Deleuze’s embracement of the transcendental as the field for metaphysical grounding leads Kerslake to deduce two movements which stem in the wake of Kant: that of method (Hegel, Fichte, Schilling) and the Deleuzian movement of system. Deleuze’s avversion to method is well known: “method...is the manifestation of a common sense or the realization of a Cogitatio natura, and presupposes a good will as thought this were a “premediatated decision” of the thinker.” (1) For Kerslake this makes Deleuze the least modern of post-Kantian thinkers. 

 

Leaving aside these (highly important) issues, Kersalke is without question correct  in highlighting the often overlooked importance of Kant in Deleuze’s thought. Above all as regards immanence. Deleuze’s conception of immanence is often considered to possess a fundamental debt to Spinoza (which it indeed does), yet Kant’s immanent use of the categories is seldom discussed in contemporary circles. An all the more incongruous fact considering the seminal role of Kantian immanence in such later works as Anti-Oedipus.

 

Kant’s breaching of the transcendent in favour of the transcendental is of equal importance, and immanence plays a key role in this breach. For with Kant, illegitimate use of the understanding leads to illusion by installing transcendence (reason alone leads to illusion within, rather from error from without). When a priori categories are applied to rational unities (self, soul or God as unity) which are not given in experience, reason falls prey to the pitfalls of transcendent illusion. For Kant, legitimate use of the categories is restricted to immanence and their legislative role of “ordering of the sensory manifold.” (2) Such is the Kantian origin of immanence and the transcendental field so important to Deleuze’s project. 

 

Immanence replaces conditioning, immanence grounds the real through the groundless ground. Deleuze’s immanent critique of Kant (something which itself requires further attention) will lead to an inversion of Kantianism in which “it is no longer that the empirical use of ideas is a transcendental illusion; rather it is our attempts to apply the rules of conceptual representation to problems and Ideas that is the real transcendental illusion.” (3) Immanence is the grounding of the real. As is well known, Deleuze’s own immanent critique of Kant (a fact in-itself of great importance) will lead to an inversion of Kantianism in which “it is no longer that the empirical use of ideas is a transcendental illusion; rather it is our attempts to apply the rules of conceptual representation to problems and Ideas that is the real transcendental illusion.” (4) Deleuze finds in Kant the impetus to “interpret ideas as concepts which lack an intuition.” (5) The Kantian vertigo of immanence yields to “a purely logical world of representation” (6) which is in fact and uncritical presupposition. This presupposition will be critically rectified by Deleuze, for Kant introduces a unity of subject and object grounded on logical possibility based upon a legislative hierarchization of the faculties which can only posit the real in a biunivocal relation to the a priori categories.The Deleuzian Idea will take up the ground, or the groundless ground, in a space-time without unity of subject or category, in order to restructure the Kantian transcendental field obstructed by representation through the possible. 

 

Kerslake relies heavily on a little known lecture course of Deleuze at the Lycée Lycée Louis le Grand of 1956 entitled “Qu’est-ce-que fonder?” (What is founding? or What is grounding?). Foreshadowing many of the concepts to appear a decade later in Difference & Repetition, and demonstrating a vested interested in Kant, the course is indeed valuable in understanding Deleuze’s relation to Kant and the transcendental in the years leading up to Difference & Repetiton.

 

As to our knowledge there are no easily accessible english translations available so we’ve translated a relevant portion under the section “Foundation is Condition” which highlights Deleuze’s early confrontation with Kant:

 

“The condition is that which makes possible. It’s a curious notion since it acts on knowledge. There is a principle which makes knowledge possible. The classical problem of possibility completely changes it sense. For classical thought the possible is non-contradiction: the squared circle is impossible. That which does not imply such a notion (understood as contradiction) is considered possible. Thousands of things are non-contradictory and are therefore not yet real. The possible is thus a logical notion and as such does not imply contradiction. The non-contradictory constitutes the very being of the possible. The problem of existence was posed as a passage from the possible to the real.

 

In God’s understanding there is a system of all that is possible and God, through an act of will makes certain possibles become real (Cf. Malebranche, Leibniz).

 

The possible becomes the possibility of being God himself. It conditions his own being. But now, with Kant, there is an undoubtable continuity between the possible and the real. The idea of 100°F (temperature at which water boils) is always the idea as possibility. The idea poses the object as having the ability to exist. The idea that something is always in the state of having the ability to exist and that existence as nothing to such an idea. The existent is always exterior to the idea: there is no passage from the possible to the real. Existence is not given within a concept, it is given in space and time. These are the given parameters. Kant interrogates the conditions of the possibility of existing. He employs, to the letter, a type of logic of that which is. The grounding is precisely the principle which makes possible. This is why Kant opposes formal logic to transcendental logic which is the study of the non-contradictory. Contradiction is nothing. But Kant is in the midst of logically positing that that which does not imply contradiction will act as a ground for the conditions of possibility. The grounding makes something possible by making it necessary that it submit to something of its own knowledge. The grounding grounds something by making that something submit to that which it enacts. Kant says that the condition of experience is at the same time the condition of the objects of experience.

 

The Kantian phenomenon cannot be called an appearance. He often describes it as a compromise between appearance and being. It’s clear that Kant wants to overcome appearance/being. The phenomenon is not appearance hiding behind being but being as it appears. The “noumenon” is the pure thought which does not distinguish between the phenomenon as appearance and reality, but as being which appears and is apprehended as pure thought.

 

The grounding grounds by making possible. It makes possible and submits being to knowledge and that which manifests itself in the opposition.” (7)

 

“Qu’est-ce-que fonder?”undoubtedly demonstrates the eminent role that Kant played in the development of Difference & Repetition and beyond as well as his having a fundamental role in Deleuze’s employment of immanence.

 

So can we say that Deleuze is not a materialist (in the nominal sense) as he has so hastily been attributed but rather a post-Kantian proponent of metacritique?

 

The question is not so simple. The institution of a biunivocal relation between the real and ideal always runs great risks. Deleuze’s immanent metacritique of the Kantian transcendental seeks precisely to avoid such a legislative use of the faculties. Any conception of the “real” which grounds itself on a pre-critical supposition of experience or sense falls back upon the representational “possible” which can only operate on the level of the “empirically real.” Being divides along aline of extrinsic conditioning and internal genesis. 

 

“Immanence and the Vertigo of Philosophy” lends valuable insights as does “Qu’est-ce-que fonder?” But the depth of Deleuze’s hunting down of transcendence demands a total re-evaluation of the scope and limits of the transcendental itself: the plane of immanence as the sieve of chaos. We will have to pass through the formal and ontological immanence of Spinoza, the Stoics and the Event, and the constructivist becoming-Leibniz of Deleuze in order to fully contextualize his thought at the edge of chaos.

 

 

(1) Gilles Deleuze. Difference & Repetition

(2) John Protevi. Some remarks on Deleuze & Kant

(3) Gilles Deleuze. Qu’est-ce-que fonder?

(4) Christian Kerslake. The Vertigo of Philosophy: Deleuze and the problem of immanence

(5) Ibid

(6) Ibid

(7) Gilles Deleuze. Qu’est-ce-que fonder?(translation) 

 

Filed under  //   Deleuze   Kant   Transcendental  

The Determinable: ant swarm in the abyssal fracture.

Determination as an act, not an attribution: Ideas swarming out of the abyssal fracture like anarchic black ants: dx, (dx,dy), (dy/dx).

 

Kant forges the Determinable, then turns away: fills the fracture, buries it. With God, the empty object, empiricism, whatever it takes. Yet, we are still a form of determination. We are determinable. We are Other. 

 

The Cartesian Cogito, it’s nonsense. We don’t mean this in a dialectical sense (nonsense as that opposed to sense therefore deprived of sense), we mean that it’s undetermined. The Cartesian cogito is undetermined. The Cartesian cogito is the possibility of thought. It sets the ground for thought as a possibility. If Descartes chose to remain blind or stupid, it’s because he rushed, was caught up in implication: the indeterminate (being)  determined through the indetermined (thought). 

 

Cogito ergo sum. I think therefore I am. Act of determination (I think) on indeterminate being (I am) = determinated being (I am a thing that thinks). Descartes’ continuum of thought. It works by implication. Existence determined through the act of thought.

 

Yet Gilles Deleuze tells us that “Ideas are exactly the thoughts of the cogito.” (1) This assertion makes sense only in light of Kant’s critique of the Cartesian cogito: The Determinable.

 

Consider first the thoughts of the Cartesian cogito. They are riddled with extrinsic indeterminations. The Cartesian cogito's thoughts express the possibility of thought.

 

Id est, with Descartes, thought remains indetermined.  Determinate being is a determination of the undetermined: there are no grounds upon which undetermined thought can determine undetermined existence. Determinability, in other words, cannot be an act of implication.

 

For Descartes, “i think” is enough to determine being. Kant attacks Descartes on two fronts: first upon the front of determinability itself (how does thought determine being, under what form?) and second on the determination of thought itself (faculties). Kant forges the determinable, in opposition to the determined and the indeterminate.

 

The determinable: a new territory. Kant’s reformulation of the cogito: the undetermined (i think) can determine an undeterminable (I am) only on the condition that there is a form of determination. God, man, their relation, will forever change: they will turn away from one another. This is the speculative death of God, and the transformation of man into caesura.

 

Why? Because Kant will introduce the form of determination which determines existence via thought: Time. Time ceases to be a mode of movement, liberates itself: a category of determination. Being is determinable: “I think can only determine my existence under the form of existence of a passive being in space and time.” (2)

 

Everything has changed. The cogito is fractured, fractured by time, “split from end to end by the form of time which runs through it.” (3) The cogito now has two forms: a form of thought and a form of time, separated by a radical fracture, the empty abyss: “thought can only determine the existence of the subject as the existence of a passive being.” (4)

 

Being can be determined by thought only through a radical fracturing of the cogito and a positing of a second, phenomenological self existing passively in time and space. The paradox of inner sense: the transcendental subject and the empirical subject. I is another. “I think” is an active determination only under the form of the determinable. It determines existence by fracturing the self into the transcendental self (a priori) and the phenomenological self (a passive being in time and space).

 

“I think” is indeed now an act of determination, but it is no longer and attribution inferred from extrinsic logical implication. “I think” is a determinable. "I think" is a function, time a parameter: I is transcendental, I is Other, I is split over the chasm of empty time. The self is indetermined, the world is determinable. The crystalline Idea forms on the edges of the fracture: dx, (dx,dy), (dy/dx): "a principle of reciprocal determinability corresponds to the determinability of the relation."

 

It is from within this fracture that genetic difference will emerge, in the form of differential Ideas which “swarm in the fracture, constantly emerging on its edges, ceasing coming out and going back, being composed in a thousand different manners.” (5)

 

(1) Gilles Deleuze, Difference & Repetition

(2) Gilles Deleuze, Kant. Cours Vincennes 21.03.1978

(3) Gilles Deleuze, Difference & Repetition

(4) Gilles Deleuze, Kant. Cours Vincennes 21.03.1978

(5) Gilles Deleuze, Difference & Repetition

 

Filed under  //   Deleuze   Descartes   Ideas   Kant  

The Song of The Evil Genius: A Noologist’s Encounter with the Non-Correlationist Image of Thought, Part I.

[Ferdinard Alquié]: And yet, what struck  me is that all the examples which he gave were not properly philosophical examples. He spoke to us about the straight line, which is a mathematical example, about the egg, which is a physiological example, about genes, which is a biological example. When he came to the truth, I said to myself: finally, here is a philosophical example! But this example quickly  turned bad, for Deleuze said to us that we had to ask ourselves: who wants the truth? why  does one want the truth?

 

[Gilles Deleuze]: Your other reproach touches me still more. For I believe completely in the specificity  of philosophy, and this conviction is one I receive from you yourself. You say, however, that the method that I describe borrows its applications from all over the place, from different sciences, but very little from philosophy. And that the only philosophical example that I brought up, that of truth, turned bad rather, since it consisted in dissolving the concept of truth into psychological or psychoanalytical determinations. If this is the case, it is a failure. For the Idea, as virtual-real, must not be described in terms which are solely scientific, even if science necessarily  intervenes in its process of actualisation. Even concepts like singular and regular, remarkable and ordinary, are not exhausted by mathematics. (1)

 

This was 1967, a year in which Gilles Deleuze was reproached by his professors for turning philosophy into a “mere expository tool in the service of science.” Times have indeed changed, even if the “form of change” has not changed. (Kant’s vengeance?) Nowadays, the absolute has been resurrected under a new guise. A “primary absolute,” the new “great outdoors.” New axioms and new truths, a “purer” relation with science at the expense of so many badly stated problems and presuppositions in the name of thought. A new philosophy of science restored by right in the wake of Kant’s great transcendental error. 

 

Of course, Deleuze was employing a metaphysical conceptualization of science based on what would later be called problematics: an ontological (and hence epistemological) approach grounded, or, better yet, “groundlessly grounded”, on the notion of Spinozist Univocity. For Deleuze any dualism of subject and object can only ever be a “poor approximation of thought.” Problematics are grounded on an ontology of multiplicity and events. This in stark contrast to axiomatics, which eliminates the event from ontology in favor of rigorous conceptual formalizations of being. Concept vs function: both make claim to the being of pure mathematics. Deleuze’s allegiance was no doubt with the former, and we have returned, full force, to times of the latter.

 

Our axiomatic times demand realism. Our states of affairs are crossed by lines of war, debt, financial crisis, abstract monetary machines, the financialization of the earth and socius, digital atomization. Not unlike the turbulent times which set the terms for the emergence of rationalism in the 17th century. Times of relative deterritorialization for the extraction of capital, in which thought has become coextensive with the event of the media. A collapse of the world grounded in human reason, a world which will need to be reconstructed, yet on different grounds (hence the neo-baroque): the cogito taken to the nth power. 

 

In other words, the institution of a new image of thought, inseparable from a new variation of the concept of error. A new timbre, or tonality: Correlationism. The anti-correlationist image of thought claims by right what is proper to thought, grounded on a new form of doubt. A new critical method, pregnant with its analogical primaries and secondaries, a new means of judgement with the goal to radicalize further the subject-object divide: the anti-correlationist seeks the real object-in-itself as opposed to the object-for-us. Thought, in so far as it is correlationist, will be an obstacle to overcome for the anti-correlationist is his quest for the absolute beyond thought. The non-correlationist’s task is therefore clear, as it is meant “first and foremost to restore realist philosophy after the phenomenological, linguistic and epistemological developments in continental thought.”(2)

 

Much as was the case with Descartes, over four centuries ago: the first decision of thought, its first orientation, comes from a definition of error: “the thesis of the essential inseparability of the act of thinking from its content. All we ever engage with is what is given-to-thought, never an entity subsisting by itself.” (3) The dogmatism instituted by Kant must be overcome qua the necessary and contingent absolute beyond thought.

 

Yet the noologist (pleasant psycho-social type) tells us that we are still dealing with a dogmatic image of thought with a host of pre-philosophical presuppositions. And quite possibly reactionary at that, given that turbulent times often demand a reconstruction of thought, however different the historical grounds may seems to be. As error is granted full immanence in the non-correlationist image of thought, we’d like to take the perspective of the noologist in order to better understand what the non-correlationist image of thought grants immanence “to.” So as to better grasp the pre-philosophical axes, vectors, decisions, orientations and speeds that belong to the non-correlationist by right. Its Apeiron, absolute horizon. A geological approach.

 

The non-correlationist grants a privileged status to René Descartes, one of the first metaphysicians to have discovered the “Great Outdoors” in the midst of the Galileo-Copernican scientific event. Before the great “turning away” of Kant. Descartes not only discovers the absolute, or the grounds for the object-in-itself, but discovers, by right, that it can be known, or at least “translatable” to thought itself. And that the sensible must be rejected. Discoveries stemming from the attribution of error and the qualified cogito.

 

Being that After Finitude, a seminal work in the advancement of non-correlationist thought proposes the Cartesian revolution as a model to follow, the noologist will take the opportunity to examine in greater detail the Cartesian image of thought, in order ot better understand what the non-correlationist image of thought grounds itself on. The noologist won’t be discouraged by claims in After Finitude such as: “there is no need to examine Descartes’ proof, since the nub of the (correlationist) refutation pertains to the pretension to be able to think the absolute, rather than to any of the details deployed to that end.” (4) The noologist won’t heed the warning, in other words, and will indeed proceed to examine Descartes’ proof, so as to better appraise its fundamental presuppositions:

 

1) Presupposition of the truth of the Ontological Argument

2) Presupposition of Real Distinction

3) Presupposition of Equivocal Being qua Analogy

 

For the time being, we will limit ourself to the first presupposition: the truth of the ontological argument. After Finitude asks us “How does Descartes justify the thesis of the absolute existence of extended substance - and hence the non-correlational reach of the mathematical discourse about bodies?”(5) And we are rapidly supplied with an answer: “the nub of the Cartesian argument lies in the idea that the notion of a non-existent god is inherently contradictory. For Descartes, to think God as non-existent is to think a predicate that contradicts its subject, like a triangle that does not have three angles.”(6) So in conclusion, we are assured that “Descartes has provided us with the first glimpses of a “possible access to an absolute reality - A Great Outdoors that is not a correlate of my thought.” (7)  

 

So is this really the “nub” of the Cartesian ontological argument? Is it that easy? On one level, perhaps, if we stick to the argument constructed by Descartes in his fifth meditation. But what about its ground, or the presuppositions upon which it rests? In this case it’s better to survey Descartes’ casual argument in the third mediation. After Finitude seems gives us somewhat sketchy details on both. In reality there exists a somewhat complex nexus of Cartesian principles and proofs which form the basis of his logical judgements. But the noologist would like to begin a bit further back.

 

Although it was Kant who first coined the term “Ontological Proof,” its first formalizations began as early as the eleventh century, under the auspices of St. Anselm of Canterbury. Using a form of logical deduction later to be known as “modal logic,” St. Anselm set out to demonstrate that a non-necessary existence of God (beyond the idea of God) leads to an absurdity, or contradiction. St. Anslem’s argument, posing God in decidedly realist terms, was soon to suffer a “critique so devastating that the ontological argument died out for several centuries.” (8) The critique came at the hands of St. Thomas Aquinas, and it kept any medieval scholastic attempt at speculative realism at bay for centuries. When Descartes picked it up, in fact, it came as a surprise to many of his contemporaries. But the times were ripe, in the wake of the 30 years war and the scientific revolutions well under way. 

 

But let’s take a look at St. Anselm’s argument: prove the real and necessary existence of God qua the logical method of reductio ad absurdum, reduction to absurdity. Demonstrate that God’s not being necessary and real is a contradiction. How does the modal demonstration function? Assume the opposite of your conclusion (that God doesn’t exist necessarily) explicate it, and demonstrate that it leads to an absurdity. But in order to do so, St. Anselm needs to begin with a definition of God, as he will need to begin his deduction from within the attribute of thought: the idea of God. As an idea represents something, this something must be represented through a definition. God will thus be defined by St. Anselm as that which “nothing greater can be conceived,” “maximal perfection” and the “greatest possible being.” The idea of God, for St. Anselm, represents this objective reality.

 

From here we need to examine the basic structure of alethic, or modal logic. Modal logic deals with essence and accident and their logical connection with potential and time. We recognize it through the propositions of possibility, contingency, necessity. Often called the “ontology of possibility,” in modal logic first order, intensional logic (value) is expanded to cover quantifiers over individuals (extensions). Intensional qualities, such as possibility and necessity are extended to extensional elements in order to determine their truth value. The event-based notion of “possible worlds” or “universes” is often employed in order to qualify its judgements (Leibniz will later take to notion of possible worlds to dizzying logical heights). Whether such possible worlds actually exist, potentially exist, or are simply convenient logical constructions for the purposes of the judgement of predicates is beyond the scope of our purposes here. What interests us is St. Anselm’s use of modal logic in demonstrating that God necessarily (really) exists departing from the idea of God.

 

Possibility is considered to be a non-truthful functional operator. Something which is possible is non-contradictory without being true. Possibility may be considered to be a median point between necessity and contingency. A possible propositions is a proposition which must hold true in at least one possible world. “Mikhail Gorbaciov was not president of the Soviet Union.” This proposition, according to modal logic, is considered possible. It is not contradictory, and is therefore true in at least one possible world. Possibility holds to the law that for every proposition that is non-contradictory, there exists a possible world in which such a proposition is true. A necessary proposition, on the other hand, holds true for all possible worlds. Necessity implies identity, or containment. Geometrical truths, for example, are considered necessary truths in that they must be true in all possible worlds. They are truthful functional operators. 4+5=9 is true in all possible worlds. Contingent propositions are defined as being true in some possible worlds and false in others. The determination of a contingent proposition goes beyond its logical formalization: its being true (or false) depends entirely on actuality and states of affairs: “tomorrow is friday and Mikhail Gorbaciov will go to the lake.” A contingent proposition.

 

And so we arrive at the ontological argument as formulated by St. Anselm:

 

“If therefore that than which nothing greater can be conceived exists in the understanding alone [and not in Reality], then this thing than which nothing greater can be conceived is something than that which a greater can be conceived. And this is clearly impossible. Therefore, there can be no doubt at all that something than which a greater cannot be conceived exists in both the understanding and in reality.” (8)

 

Broken down into its logical structure:

 

1). God is the understanding, or Idea in which nothing greater is possible

2). It is at least possible for God to exist in reality/extension (for every predicate which is non-contradictory there exists at least a possible world in which it is true).

3). If something exists only in the mind (and not in reality/extension) but possibily exists in reality/extension, that something would be greater than it is (as existing only in the mind).

4). Suppose that: God exists only in the mind and not in reality/extension.

5). This supposition implies the existence of a possible being that is greater than God existing only in mind - namely, a God existing in reality/extension.

6). It would therefore be possible for something to exist which is greater than God.

7). As God is that which nothing greater is possible, it would be possible for there to be something greater than God (contradiction).

 

And in its formalization as a proof:

 

1). If God exists, then he Necessarily exists (in all possible worlds).

2). It is at least possible for God to exist.

3). God necessarily exists, exists in Reality.

 

Note that St. Anselm’s argument hinges on two critical points: a real distinction between thought and reality (existence), and the definition of God as that of which nothing can be greater. The definition that St. Anselm attributes to God gives him the means to interpret reality in terms of degrees of perfection, and the real distinction between thought and existence gives him the means to bring his idea of God qua quantification to a logical deduction of possessing reality and hence existence beyond thought. In modal terms, God’s real existence begins as a possibility, and as the existence of God in thought alone leads to a contradiction, a God existing both in thought and reality is concluded to be greater and thus logical consistent. God must therefore exist in thought and in reality, for anything less would be a contradiction in the idea of God.

 

The noologist isn’t particularily interested in highlighting the contradictions inherent to St. Anselm’s line of argumentation. St. Thomas Aquinas did a far better job at that. What interests the noologist is the rhythm that lies underneath, the quantification of reality into degrees under the equivocal chain on being in which substance is interpretated and hierarchized through real distinction: thought and existence, or thought and extension. Two really distinct attributes of substance. The idea comes first, which scales the ladder of being (through degrees of reality) in order to attribute real existence to God.

 

As noted, St. Anselm’s proof will soon be attacked. St. Thomas Aquinas’ refutation of the ontological argument will hinge on two essential points: the circularity of the argument, or the fact that it sets out to prove what it presupposes (inherently a critique of the reductio ad absurdum argument applied to the nature of God) and the unjustifiable proposition that “there exists outside the mind something greater than which nothing can be conceived.” (9) Aquinas, in other words, rejects the proposition that thought is inherently limited in regards to reality. For several centuries the ontological argument laid dormant.

 

Descartes, however, picks us where St. Anselm left off. Although Descartes claims to have known little of St. Anselm or his version of the ontological argument, there are undoubtedly points of intersection and Descartes clearly takes great steps to avoid the criticisms suffered by St. Anselm. Descartes will bring many innovations to the proof, not the least of which a fully mechanistic view of extension. Descartes, in many ways, through the cogito, innate idea, and clear and distinct perception institutes a quasi-complete rupture with antiquity, constructed along the way a new image of thought centered on doubt, error, and the “I” determined as “a thinking thing.” Descartes initiates the era of rationalism, based on geometric proofs, methods, and demonstrations. But despite the numerous scientific and metaphysical innovations, Descartes will share more in common with St. Anselm, at least more than he’d like to admit. Descartes, in demonstrating the real existence of God, like St. Anselm, will have to begin with the representational idea of God, and the definition of God as the most perfect being. Descartes will follow the same path, albeit in a much more refined manner in making his passes towards speculative realism.

 

For Descartes, however, reformulating the ontological argument was simply not enough: Descartes will make a decisive structural break with scholastic logic itself and usher in a new era of intuitive, more purely intensional logic. Medieval scholastic logic often emphasized the method known as genus-differentia, the process through which intensional definitions, or groups/specie (genus) are subdivided through the operation of difference. For Descartes, logic must be concise, intuitive, and geometric. The proposition that the triangle contains three angles is immediate and necessary truth, what is implied by a concept must necessarily be true as well. The Cartesian innate idea and clear and distinct perception will relegate the reductio ad absurdum to irrelevance. Truth is granted simultaneity with thought, and this will be a decisive break from platonism, grounded on truth as being anterior to both thought and existence. Intuition will henceforth be the primary instrument of logic.

 

For Descartes, innate ideas are "either in our understanding, or they are our understanding itself." (10) Similar to Plato’s reminiscence, yet no longer anterior, the innate idea can be seen as inherent to the structure of thought itself. The innate idea is coextensive with thought, yet must be discovered. We must discover the true and innate ideas which exists contemporaneously within thought, uncover something already present. For Descartes, learning geometry is to uncover the objective structure of thought. Now we must keep in mind the importance of the notion of “objective structure” which resides innately within thought, which will be of essential importance for Descartes in bridging thought to the world of extension.

 

From the innate idea Descartes moves on to the clear and distinct perception, which by nature excludes from perception any empirical or sense related perception.  Descartes has deducted that his body, extension, the empirical or sensible cannot yield certainty for metaphysical speculation. Clear and distinct perception stems from necessary truths, truths of essence, truths of the idea. In a clear and distinct perception, something is grasped immediately, by way of containment. Consider a geometrical truth: a triangle is a closed planar figure consisting of three sides. I can perceive the triangle intuitively, for I can immediately grasp the three concepts that are contained in the triangle: planar figure, closed, three sides. A clear and distinct perception is immediate, and inherently necessary, true in all worlds. A clear and distinct perception is a truth of identity, later to be known as an analytical truth.

 

In Descartes’ Meditations, the definitive ontological argument is widely considered to be the argument set forth in the fifth meditation. In it, Descartes’ sense of intensional intuition creates a surprisingly brief and cogent argument employing both the concept of the innate idea and clear and distinct percept. It is also widely considered, however, that the ground or framework of the proof rests upon the so-called “casual argument” set forth in the third meditation. In fact, in order to Descartes to be understood within public circles he begrudgingly forulated several heuristic formalizations of the proof which rely on several key notions developed in the third meditation. Now here’s the proof as set forth in the fifth meditation:

 

"…from the very fact that I can derive from my thoughts the idea of something, it follows that all that I clearly and distinctly recognize as characteristic of this thing does in reality characterize it…It is certain that I find in my mind the idea of God, of a supremely perfect being…and I recognize that an actual and eternal existence belongs to his nature." (11)

 

The brevity and certainty of Descartes here is striking. It possesses an analytical and assured rhythm: necessary existence is contained within the idea of a supremely perfect being, the idea of a supremely perfect being is innate. As simple as that. Now let’s take a look at two different formalizations of the proof:

 

Syllogistic Formalization:

 

1). Whatever I clearly and distinctly perceive to be contained in the idea of something is true of that thing.

2). I clearly and distinctly perceive that necessary existence is contained in the Idea of God.

3). Therefore, God exists.

 

Hueristic Formalization:

 

1). I have an idea of supremely perfect being, a being having all perfections.

2). Necessary existence is a perfection.

3). Therefore, a supremely perfect being exists.

 

The heuristic formalization, conceived of mainly for use in correspondences and discussions with contemporaries echoes much of what St. Anselm had set forth to demonstrate centuries before: idea of an absolute, absolute as perfection, etc. And it is this definition which brings us to the casual proof in the third meditation. So let’s take a look at the corollary proof in the third meditation, which turns out to be somewhat more substantial:

 

"When mind…discovers the idea of a Being who is omniscient, omnipotent and absolutely perfect…in it it recognizes not merely a possible and contingent existence, as in all other ideas it has of things,…but one that is absolutely necessary and eternal…from the fact that it perceives that necessary and eternal existence is comprised in the idea it has of an absolutely perfect being, it has clearly to conclude that this absolutely perfect being exists." (12) 

 

Here with discover, as was the case with St. Anselm, a fairly significant use of modal logic is grafted onto to the more intentional cogency of the innate idea and clear and distinct perception. Let’s break down the formal structure:

 

1). The mind possesses innately the Idea of God. God is represented in the Idea as the most perfect being, infinite, omniscient etc. (representation of God)

2). Ideas must be caused by something containing the essence of the Idea within it. (eminent causation as overcoming possibility, contingency).

3). The Idea of God as perfect being must therefore be caused by something containing perfection. (eminent causality)

4). Being finite and imperfect, I (or my faculty of thought) cannot be the cause of this Idea of God. (the cogito, doubt)

5). Therefore, there must exist a being which contains the properties of a most perfect being. (necessary existence)

6). As God is defined as the most perfect being, and a most perfect being must necessarily exist, God must, logically and necessarily, exist.

 

Careful to ward off the criticism inherent to the empiricism of St. Thomas Aquinas, Descartes begins with the idea of God (the representation of perfectly) simultaneously with the innate idea. Descartes has therefore created for himself a logical grounding which St. Anselm lacked. (being as determined by thinking, “cogito ergo sum.” And although Descartes, as did St. Anselm, will qualify his chain of being through a quantification via degrees of reality, he will ground his deduction through a reformulated conception of efficient causation: eminent causality. So let’s take a brief look into the structure of Cartesian eminent causality. We will first have to examine the framework of Descartes’ substance theory, with its notable Aristotelian overtones. For Descartes, the “world” undergoes an initial distinction or division: infinite substance (God) and finite substance (that which is emanated from God). Finite substance, in turn, undergoes a second distinction (the so-called real distinction): res cogitans, thinking substance, expressed through the attribute of thought, and res extensa, expressed through the attribute of extension, or bodies. God is defined as infinite in that it depends on absolutely nothing for its existence (that which contains, or emanates everything), and therefore any finite substance is defined for its dependencies and causes. A concrete entity is the attributes of thought and extension is called a mode. An idea, for example, is a mode of the attribute of thought, just as a stone is a mode of the attribute of extension. It is, of course, fundamental to understand that for Descartes, the attribute of thought and extension belong only to finite substances, and are irreducible to one another: they possess separate beings (hence Descartes’ infamous mind-body causal problems). Being, for Descartes, is thus based on a real distinction, and is inherently equivocal, operating through analogy (but more on that a bit later on). Any finite substance is a created substance, and Descartes will choose thought as his starting point as extension is claimed to be, in itself, inaccessible to clear and distinct perception, unless filtered through the indivisible attribute of thought.

 

All finite substance therefore has causes, affections. Descartes cannot doubt that he is not doubting, he grounds his speculative realism in the res cogitans. At this point, he needs to uncover the cause of his innate idea of God. As an idea exists in finite substance as a mode in the attribute of thought, it, as a mode, must have a cause. Reality is quantified in terms of degrees of perfection: beginning with the most perfect, God and descending through finite substances through attributes to the bottom of the scale, or pyramid: the modes. A mode generally possesses a low degree of reality. 

 

But, and this is a big but, at this point we have to consider yet another distinction made by Descartes regarding the being of an idea, which is essential to his conception of eminent causality. This is the dual being of the idea itself, or its intrinsic and extrinsic nature, a notion which is common throughout rationalism. An idea for Descartes has two realities: its intrinsic reality (or its concrete formal qualities as a mode of the attribute of thought, what it actually is) and its extrinsic reality, what it represents (which may in turn be an entity in the attribute of thought or in the attribute of extension). These two attributes of the idea are commonly known as its formal reality and objective reality. Both are key to Descartes’ notion of speculative realism, as they are the logical means in which the simple idea will obtain infinite substance and hence an absolute beyond the reach of thought itself. 

 

Keeping this dual being of the idea in mind, we are ready to consider Descartes’s casual adequacy principle: something must be caused by something with at least the same degree of reality or a higher degree of reality. Something which contains it, either in an equal or superior degree. A tree branch must be caused by or another tree branch or by a tree, not by an idea nor by a color. Straightforward. But Descartes does not set out from strictly from either extension alone or thought alone, he begins with an idea which has an intrinsic (formal) and extrinsic (objective) qualities. A simple casual adequacy principle will therefore not suffice, and will be further developed: whatever is contained objectively in an idea must be contained either formally or eminently in the cause of that idea.

 

The definitive formulation of Descartes causal adequacy principle: an idea must be caused by something which has as much formal reality as the idea has objective reality. Things seem to get complicated, so let’s look over some of its basic premises. Now we know that the objective reality of an idea is what it represents as representation. The idea of the sun, for example, contains the reality of the sun objectively, as representation. Now, the formal reality of the idea of the sun is just that: its being as a mode in the attribute of thought. The idea of the sun, therefore, has the formality reality of a mode in the attribute of thought, and the objective reality of representing a finite substance, the sun. The sun itself, however, as an entity of extension, has only a formal reality, that of being a finite substance. Let’s consider, in this light, eminent containment or causality: a reality is contained in something eminently when it is contained within something of a higher form of reality such that: (1) the thing does not possess that reality formally, but (2) it has the ability to cause that reality formally in something else. God, for example, as infinite substance, is neither a thinking thing nor an extended substance, he is the cause of both as he eminently contains both. Back to our idea of the sun: it must be caused by something that contains as much formal reality as the idea of the sun contains objective reality.

 

Ideas all possess the same formal reality: that of being modes in the attribute of thought. The objective reality of ideas, however, vary. The idea of a tree, for example, possesses a greater degree of reality than the idea of fear or the idea of color, as it represents a finite substance. The idea of God, in turn, possess a greater degree of reality or perfection. The idea of God, the idea of the tree and the idea of fear all possess the same degree of formal reality or perfection. Each, however, possesses a varying degree of objective perfection: infinite substance, finite substance in the attribute of extension, mode in the attribute of thought. We therefore have a means of determining hierarchically the causes of these three ideas. What this boils down to, for Descartes, is that ultimately, while an idea may be the cause of another idea (the idea of god may be the cause of the idea of a tree which in turn may be the cause of the idea of fear or of a color), the efficient cause of an idea must eminently be something greater than an idea something with more objective reality (all ideas possess the same formal degree of reality). Let’s go back to the example of the tree branch. The idea of the tree branch cannot be the cause of the tree branch as it possess a lower degree of formal reality. It must have therefore been caused by the entity of the true, in that it possesses the same formal reality as the tree branch as finite substance, or it may ultimately be caused by God, which, as perfection, has a higher degree of formal reality.

 

Following his casual adequacy principle, Descartes can trace the causes of his idea of God to the absolute of infinite substance: there thus exists a cause of his idea of absolute perfection which is beyond his idea of absolute perfection. In other words, God has as much formal reality as the idea of God has objective reality. An an idea must have as its eminent cause something which has as much formal reality as my idea has objective reality, I cannot ultimately be the cause of my idea of God. The cogito thus stands alone before the great outdoors: a formally perfectly being outside of my faculty of thought which is its cause.

 

In light of the framework set forth in the casual argument of the third meditation, the proof of the fifth meditation obtains its immediacy and concision: as I clearly an distinctly perceive necessary existence in the idea of God (argument from the third meditation), therefore he necessarily exists. The non-correlationist has individuated an image of thought which is to serve as model: “in short, it is Descartes who ratifies the idea that nature is devoid of thought (which is to say devoid of life, since the two are equivalent for him), and that thought is able to think this de-subjectified nature through mathematics”). (13)

 

So how does After Finitude present the Cartesian proof to us? At first glance, we are given a somewhat reduced form of it: “[the ontological proof] proceeds by inferring God’s existence from his definition as an infinitely perfect being - since He is posited as perfect, and since existence is a perfection, God cannot but exist. Since he conceives of God as existing necessarily, whether I exist to think of Him or not, Descartes assures me of a possible reality - a Great Outdoors that is not a correlate of my thought.” (14)

 

The non-correlationist praises Descartes have having discovered the existence of an absolute, perfect God, what the non-correlationist will call a “primary absolute.” The clear and distinct perception, in turn, will be called a “derivative absolute,” as mathematics sets the groundwork for “absolute reach” - “any aspect of a body that can exist mathematically (whether though arithmetic or geometry) can exist absolutely outside of me.” (15) The non-correlationist does not invent, he discovers. The non-correlationist, of course, will modify many of the basic terms an tenets of the Cartesian proof, yet admits that he must “strive to provide an argument of the same structure.” (17) The Cartesian cogito, of course, the conceptual persona of Descartes, will undergo change as well.

 

For the time present, the subsequent refutations of “correlationist” critiques of the Cartesian proof are of little interest to the noologist (for he is interested not so much in locating contradicitions in refutations but rather the structure of the proof itself).  When possible, the noologist avoids critique through negation. 

 

They will no doubt be taken up in successive steps. For now, the noologist would like to highlight four key points deduced in examining the Cartesian proofs: 

 

-the role of the innate idea

-the role of the definition of God in the determination of the deduction of God’s absolute and necessary existence.

-the role of the casual adequacy principle, or eminent causality as efficient causality

-the dual being of the idea (its formal and objective reality) and its presupposition of the representational being of the idea.

 

These will be the noologist’s cardinal points in forthcoming examinations of the roles of real distinction and equivocal analaogy and their positioning within the non-correlationist image of thought: it’s axiomatic infrastructure.

Filed under  //   After Finitude   Axiomatics   Deleuze   Descartes   Image of Thought  

Pure Reserve: steps to understanding the Event.

 

Parsing through the 300+ pages of “Event & Decision: Ontology and Politics in Badiou, Deleuze, and Whitehead”, one comes to realize that an adequate definition of the concept of Event is missing throughout the entire book. It’s assumed that we all know what the Event means, or what an event “has” (making a decided attempt to avoid substantial predication qua the being of “is”). In other words, the meaning of Event seems to be presupposed. We find this approach inherently dangerous, for if there is a word-as-sign that risks equivocation, it’s “Event.” The overcoming of the traditional discursive conception of the notion of Event has as much to do with the overcoming of analogical equivocal being as do the operations of thought behind the discursive formalizations. Newsflash: Mujahedeen forces attack camp northwest of Ashraf. Are we dealing with an Event? Perhaps, but contrarily to what the Media may want us to believe, we are not dealing with it in any substantial sense which draws reference from the present moment, from a plane of reference. Perhaps Deleuze said it best: the Event is best grasped when nothing at all happens. And as the Event does indeed errupt into states of affairs (at least according to Deleuze), we can indeed confirm that one side of the surface of the Event has its political potential.

It’s not to say that the various authors present in the book don’t have a good grasp of the Event: they just don’t do a very good job of letting us in on the secret. And that makes it that much more more difficult in absorping the rhythms that the volume attempts to set forth (if indeed we may speak of rhythms). 

And so everybody knows what the Event is. Everybody knows what being is, etc. Trapped in the dream of the Other. Heidegger invokes a preconceptual or “preontological understanding of Being” that seems to “imply the grasp of a substance of being in relationship to the predisposition of thought.”Heidegger therefore makes a step towards the transcendental, but he gets lost, he can’t find a way out. He’s trapped in the labyrinth of substantial predication. Being “is”....Thought “is”....Being and Thought “are”....Heidegger won’t find the Ariadne’s thread (the Event of Ariadne’s thread?) hidden so deftly by the Stoics. He’s stuck on “the tree is green”: das wesentliche denken...

In any case, understanding how the Event is defined, the consistency of its infrastructure, is of fundamental importance: the Deleuzian Event, the Badiouian Event, Whiteheadian, Blanchotian, Péguyian, Mallarmean. The Event which erupts in El Greco, Van Gogh, Cézanne, the Scientific Event, the Event of Thought.

And so we come full circle to the Event. What “is”, exactly, the Event? Regarding Deleuze, it’s widely (and correctly) assumed that his definitive explication of the Event comes through the Logic of Sense to reach its apex, via Whitehead, in The Fold: Leibniz and the Baroque. But we’d like to present a few lines from What is Philosophy (chapter, “Prospects and Concepts”) which we consider to be one of Deleuze’s best elucidations of the subject. Without (the valid) references to Whitehead, which would need to be taken up in a far more complex context. 

And since we know that virtuality and the Event’s relation to “states of affairs” is one of the key points of contention between Deleuze and Badiou (an Event in itself which will determine the “dice throw” for much of what will come afterwards) we would like to point out, for the sake of equity and clarity, Deleuze & Guattari’s critique of Badiou in example 12 of the same chapter: be wary of making the function reducible to the concept, be wary of imposing a plane of reference on the absolute variation of the concept, be wary of introducing new forms of transcendence, however empty the forms may appear to be. The Event of Problematics, the Event of Axiomatics. An so on to the text:

“Now, if we go back up in the opposite direction, from states of affairs to the virtual, the line is not the same because it is not the same virtual (we can therefore go down it as well without it merging with the previous line). The virtual is no longer the chaotic virtual but rather virtuality that has become consistent, that has become an entity formed on a plane of immanence that sections the chaos. This is what we call the Event, or the part that eludes its own actualization in everything that happens. The Event is not the state of affairs. It is actualized in a state of affairs, in a body, in a lived, but it has a shadowy and secret part that is continually subtracted from or added to its actualization: in contrast with the state of affairs, it neither begins nor ends but has gained or kept the infinite movement to which it gives consistency. It is the virtual that is distinct from the actual, but a virtual that is no longer chaotic, that has become consistent or real on the plane of immanence that wrests it from chaos - it is a virtual that is real without being actual, ideal without being abstract. The event might seem to be transcendent because it surveys the state of affairs, but it is pure immanence that gives it the capacity to survey itself by itself and on the plane. What is transcendent, transdescendent, is the state of affairs in which the event is actualized. But, even in this state of affairs, the event is pure immanence of what is not actualized or of what remains indifferent to actualization, since its reality does not depend on it. The event is immaterial, incorporeal, unlivable: pure reserve.”

 

 

Filed under  //   Deleuze   Event  

“Now Come Fire!” The Cogito: Turning Away from the Underground of the Earth.

"What does it mean: to orient oneself in thinking?" - Immanuel Kant

Im2
“Idiot,” primary etymological lexical unit: “Idios.” “Pertaining to self.” By implication, “one’s own.”

John I, John is sent by God to testify the divine light: “He was in the world, and thought the world was made through him, yet the world did not recognize him. He came to that which was his own, but his own did not receive him.” (1)

Idiot as singularity, Event. A territory on the Plane of Immanence, the Conceptual Persona.

In stark contrast to the Autochton or the The Chthonic. The Greek Plane of Immanence wards off the Idiot, the Idiot profanes the earth. Auto: “self, same.” Khton: “earth, soil” - the interior of the soil, as opposed to the surface of the land (Gaia) or the land as territory.” The Autochtonic is a mortal born directly from the soil, rocks, or trees, rooted to the land for all eternity. The Chthonic is yet something else: “khtonios” - “in, under, or beneath the earth.” The Chthonic is born from the underground, the “beneath” of the interior of the soil. Autochthonic, Chtonic: self gendered, gendered from without. 

Again, the Autochthonic: rooted to the earth, yet the “the dark, nocturnal earth that that conceals the rooted powers of the Gods.” Chtonic depths which allow for the “genuine autochthonous grounding of a community.” (3) The Chtonic force of the Earth. In Heideggerian terms: Erdherrschaft and Bodenstandigkeit. A pre-philosophical, uncreated “collective soul,” (4) bound through “immanence and chtonic agency.” (5)

“Idios” will be a limit immanent in the Greek Plane on Immanence, a limit point imposed by the very presuppositions on which the Greek Plane is constructed (“But is not the One prior to every concept? (6)). Truth is presupposed as a priori, and the world divided by a temporal rift between the intelligible and sensible. “The cogito could be prepared but not fully accomplished.” (7)

The Idiot. The private person, one who is “strictly his own servant, and not a servant of the public.” (8) Self-centeredness, selfishness, one who is not interested in politics, with all of the ensuing disdain. The Greek notion of individualism: in times of war in the Polis, any citizen possessing property and land within range of the defensive city walls is excluded from any vote or debate concerning the war. It was judged that such a landholder had a vested interest in the war itself, regardless of its outcome. Personal interest as the embodiment of an Idiocy: “The idioms of a language to any stranger appear as simply idiotic.” (9)

Many centuries will pass until the cogito will find fertile soil on which to germinate, a New Image of Thought constructed on the Thought-Event of Idiocy. The Greek Plane of Immanence will interleave with Neo-Platonism, Theological Thought through Scholasticism as it staggers towards is final and fatal crisis: the authoritarian regime of the Christian Church and its organizational ideology have opened an abyss between objective knowledge and “the binding force of human life.” (10) The irresistible force of scientific progress erodes the transcendent One, its Image of Thought, its “conceptual madness of the double turning away.” Thought as infinite wandering gives way to the New Objectivity. 

But for the cogito to emerge, the meaning of “‘first’ must undergo a remarkable change” (11) as will be the case with the notion of Time: Time understood as difference between “Idea and the Soul that forms it as a subject” (12) must give way to a temporal contemporaneity between the Idea and the Soul. Transformations hinted at in St. Thomas Aquinas and Nicolas of Cusa (omnia complicans, omnia explicans) remained ensnared in dualities between eternity and time.

On the night of November 11, 1619, “first” will, however, crystallize under the form of a new meaning. René Descartes, enlisted as a soldier for the Dutch Republic is stationed in winter in Neuburg an der Donau, Germany:

“At that time I was in Germany…the onset of winter detained me in quarters where, finding no conversation to divert me and fortunately having no cares or passions to trouble me, I stayed all day shut up alone in a stove-heated room, where I was completely free to converse with myself about my own thoughts.” (13)

In absolute solitude, in the midst of a cold and harsh winter, Descartes, having spent the evening conversing with himself alone, three dreams or revelations will strike him in his sleep.

First Dream: The first dream: Descartes walks “amidst a street of ghosts, before being caught up in a whirlwind and blown violently by an evil demon against the walls of a Church.” (14) A man in the Church courtyard greets him, proclaiming that “if he wanted to go and see Monsieur N., he had something to give him.” Although not explicitly symbolized in the dream, Descartes is convinced that the stranger has a melon to offer him, a melon “originating from some foreign country.”

Second Dream:  sudden explosive sound occurs in the very room in which Descartes is sleeping, which Descartes takes for “a clap of thunder,” immediately followed by “sparks of fire scattered around the room.” (15)

Third Dream: Descartes leafs through two books, a dictionary and collection of poetry entitle “Corpus Poetarum.” Passing through the Corpus Poetarum Descartes falls upon the poem: “Quod Vitae Sectabor Iter,” - “Which Path In Life Shall I Follow?” (16)

René Descartes, searching for the meaning in these three powerful visions, decides to dedicate his life to the pursuit of truth. Thought will find its orientation on doubt and the cogito, the Idiot as Conceptual Persona has fully emerged, overcoming the absolute Platonic Limit: the institution of the Cartesian Plane of Immanence. 

This will be Descartes’ presupposition, that on which he constructs his Plane of Immanence: the Private Thinker, the Idios: thinking-doubting-being. Being as thinking as deduced through the cogito. Intensive ordinates of the Concept, founded on a presupposition: the “self” as the “first.” All the world knows that thinking authenticates Being, no one can deny it. All the world knows what thinking means, all the world knows what Being means. All the world thinks therefore “I think therefore I am” is universal. Thinking is the sole form of Representation. Representation is the form of natural thought, representation has an affinity with the “truth.” The Introduction of a new Substance of Being, the contemporaneity of The Idea to the Self.

These are all presuppositions of the Cartesian Plane of Immanence, a Plane in which full Immanence is granted to Doubt, granted by right. Thought grasps what is its by right from the Plane of Immanence. The construction of a New Plane of Immanence is an act of Orientation, akin to the magnetic calibration of a compass in the midst of the Arctic, or Chaos. North is the first orientation - the cogito for Descartes, the eternal One for Plato. The presupposition of the first sets the ordinance of Immanence, what is Immanent in thought. The presupposition which constructs an Image of Thought is never “very respectable, rational, or reasonable.” (17) The Plane of Immanence implies:

“A sort of groping experimentation...[its] measures belong to the order of dreams, of pathological processes, esoteric experiences, drunkenness, and excess.” (18) And thus: “Even Descartes had his dream. To think is always to follow the witch’s flight.” (19)

This act of struggle, or orientation amidst chaos, can be understood as the approximate knowledge of Spinoza: the first “effort” of reason. The Conatus of Reason, the “apprenticeship of relations which are composed or not composed:” (20) 

“We are forced to set out from there, to pass by there, in order to construct our apprenticeship, that is in order to select our joys, eliminate our sadness, that is to make headway in a kind of apprehension of the relations which are composed, to arrive at an approximate knowledge (connaissance) by signs of the relations which agree with me and the relations which don’t agree with me.” (21)

Paraphrased by The Idiot of the Cartesian cogito: “I manage as best I can.” (22) From this point onwards The Chthonic will become his (self’s) Authocthon, the cogito’s Stranger.

(1) John:1

(2) Underground or images of nowhere. Dariush Moaven Doust.

(3) Heidegger, Technology, and the Homeland. Charles Bambach

(4) In the chtonic archipelagos of late modern giration. Mark Jackson

(5) Ibid

(6) Deleuze & Guattari. What is Philosophy?

(7) Ibid

(8) Idomatic Phraseology

(9) Ibid

(10) Mysticism of Meister Eckhart and the Phenomenology of Edmund Husserl. Thomas Sodeika

(11) Deleuze & Guattari. What is Philosophy?

(12) Ibid

(13) Descartes, 1985

(14) Ibid

(15) Ibid

(16) Ibid

(17) Deleuze & Guattari. What is Philosophy?

(18) Ibid

(19) Ibid

(20) Deleuze. Spinoza. Cours Vincennes. 20.01.1981

(21) Ibid

(22) Ibid

 

Filed under  //   Cogito   Deleuze   Descartes   Image of Thought  

Si Enim Fallor Sum: Logic & The Image of Thought.

There is one thing which the cogito cannot doubt: it cannot doubt its act of doubting. Insofar as the cogito doubts, it thinks. In this sense Descartes can determine “the always renewed event of thought.” (1)

 

With René Descartes we witness the emergence and institution of an entirely new Image of thought, or plane of immanence: “Can we speak of a plane of immanence or image of so-called classical thought that continues from Plato to Descartes?” (2)

 

The Image of Thought, as pre-conceptual or pre-philosophical, takes the form of ‘everbody knows;’ it is a presupposition. A presupposition which refers to the sub-representative plane of immanence, necessarily pre-individual, consisting of “fluid degrees of individuated assemblages that never separate into a dualism of subject and object.” (3)

 

The Image of Thought, as Plane of Immanence, is composed of univocal relations through immanent affect and intensities. In consisting of assemblages, affects and relations, it operates silently and is essentially social. It knows only of relations and nothing of the individual subject, and hence the basis of the pre-philosophical presupposition: ‘everybody knows.”

 

Descartes constructs a radically new plane of immanence and a host of concepts connected to it, but these new constructions cannot come about without a newly presupposed Image of Thought. In the case of Descartes: “everybody knows what thinking means, everyone can think; everyone wants the truth. (4) This is Descartes’ presupposed Image of Thought, thought as it is in principle: “good natured and [with] an affinity with the true.” (5)

 

The Image of Thought instituted by Descartes is by no means a foregone conclusion, and testifies a complete rupture with the Image of Thought of Classical Antiquity, instituted by Plato and conserved through medieval and scholastic philosophy. As affirmed by Deleuze: “A Greek would not have even understood what was being said with the idea of a thinking subject.” (6)

 

Consider the Image of Thought instituted by Plato, namely: The One, the perfect, eternal forms as essences of objects. Plato’s presupposition is that the One “is prior to every concept.” (7) Put in other words, “Everybody knows of the “prexistence of an objectality” (8) or “Everybody knows that the Truth is already There.” Truth is presupposed as a pre-conceptual fact.

 

Plato’s concepts must “represent the uncreated that precedes them.” Time for Plato will be Anterior and a priori (recalling an eternal time and knowledge which is intrinsic to the human mind). Insofar as time for Plato will be secondary to movement (time as the number of nature, the number of periodical movement (10)), and a priori forms as true are presupposed, the concept will be measured by a “form of a difference of time capable of measuring the distance or closeness of the concept’s possible constructor.” (11). The Platonic Image of Thought assumes the form of a truth already given, and any constructed concept must always attest to its own vicinity to the One. This is Plato’s primary concept: The Idea. The Platonic Idea, as concept, specifies the a priori first: it “is not something other than what it is.” A posteriori, material things can only participate in the Idea (as concept), and thus material things posess a degree of perfection based upon their degree of participation in the Idea. The Idea, the concept of which, is based on the presupposition of the One. Existence makes a claim to the One, the presupposed Image of Thought. It is a question of proximity, in a form of “survey of an always necessary Anterior time.” (12)

 

It goes without saying that the Cartesian cogito could never fully develop on the Platonic Plane of Immanence. Descartes will have to redefine the notion of “first” and reshape the conception of time in order to overcome both the Platonic Idea and its Plane of Immanence. And doubt will be one of the intensive conceptual components which will perform a temporal collapse in which innate ideas will lose their anteriority to the soul. “First” will become subjective, and innate Ideas will exist contemporaneously with the soul, no longer before. Time undergoes a process of liberation from movement. 

 

The Image of Thought under Descartes has been modified, but with it, so has the pre-philosophical presupposition, what Everybody is supposed to know. With Plato it is that the truth is a given for the concept, for Descartes it is everyone wants the truth. These presuppositions are constitutive of the Plane of Immanence.

 

The Image of Thought directly bears on operations of Logic. Descartes’ institution of a new plane will mark a fundamental change in the logical operations of thought, from a logic of explicit relations between concepts, to a logic of implication. As if the subjective “first” requires a new typology of formal reasoning, as if the “I” as the “first” of truth demands an implication between concepts.

 

A Platonic Image Thought implies a logic based on an explication of Genus and Differentia, a logic based on generic and specific diferences: “Man is a rational animal.” “Animal” is the “genus” and “rational” the specific difference. Any difference acts as a subdivision of an existing genus. Any genus relates to a superior genus, always relating back to “something we are supposed to know.” (13) The a priori Idea is explicated or subdivided into degrees qua the operand of difference.

 

The Cartesian Image of Thought requires a logic of implication, an implication which “is one with the act of thinking.” Doubting implies thinking, and thinking implies Being. What “thinking” IS “does not need to be known.” (15)

 

In other words, with Descartes, logical implication encompasses a specific function or relation. In any logical implication, the truth of the Antecedant is a sufficient condition for the truth of the consequent, while the truth of the consequent is a necessary condition for the truth of the Antecedant: if P, then Q, annotated as P impies Q.  In the logic of implication, Q returns false if and only if the second term is false. 

 

Truth, or clarity and distinctness, will proceed by conceptual implication from the presupposed subjective “first” of the cogito, its Image of Thought - the “I” which Kant will, in turn, radically transform.  Kierkegaard, in turn, who will argue that “existence” is already assumed or presupposed. A presupposition within a presupposition?

 

“Cogito Ergo Sum,” a tenacious presupposed Image of Thought, still quite relevant today. Elucidated by Kierkegaard as “a petrified proposition.” 

 

 

(1). Deleuze & Guattari, What is Philosophy, 24

(2). Deleuze & Guattari, What is Philosophy, 50

(3). Beth Metcalf. The Immanence of Univocity

(4). Deleuze & Guattari, What is Philosophy, 61

(5). Gilles Deleuze, Difference & Repetition, 168

(6). Gilles Deleuze, Leibniz. Cours Vincennes. 20.05.1980

(7). Deleuze & Guattari, What is Philosophy, 29

(8). Deleuze & Guattari, What is Philosophy, 29

(9). Deleuze & Guattari, What is Philosophy, 29

(10). Gilles Deleuze, On Kant, Cours Vincennes

(11). Deleuze & Guattari, What is Philosophy, 29

(12). Deleuze & Guattari, What is Philosophy, 30

(13). Gilles Deleuze, On Kant, Cours Vincennes

(14). Gilles Deleuze, On Kant, Cours Vincennes

(15). Gilles Deleuze, On Kant, Cours Vincennes

 

Filed under  //   Deleuze   Descartes   Image of Thought   Logic  

Monsters are Harassing Us: Deleuze on Kant’s Synthetic A Priori.

Kant’s creation of a priori synthetic knowledge is defined by Deleuze as a ‘monster’, a ‘formidible monster’. (1)

 

Let’s consider the a priori and a posteriori. A priori knowledge is considered to be be knowledge prior to or independant of experience. All triangles have three sides. All bachelors are unmarried. A priori knowledge is based on the principle of identity and non contradiction. A is A. It is defined by Deleuze as “pure thought,’’ “a rule for all possible content.”

 

A posteriori knowledge is dependant on experience or empirical evidence: its logical justification references experience. A posteriori knowledge is an encounter. “Some bachelors are very happy.” “The Rose is Red.” (3) 

 

A posteriori predication involves a here-and-now, a space and time. This is the signature of the a posteriori. Kant will maintain space and time as a priori (forms of possible experience) but maintain a clear distinction from the categories: “space and time are the forms of representation of what appears”. (4)

 

From Plato onwards, philosophy is largely enframed in a framework of essence and existence, necessity and contingency, intelligible essences and sensible appearances. 

 

The concept belongs properly to the domain of essence (a priori). As a judgement of essence the predicate is contained in the concept. “Bodies are extended” (5) is analytic judgement because the concept of “body” cannot be thought without the concept of “extension.” Extension inheres in the concept of the body through inclusion. Concepts, or judgements of essence, are analytic conditions of possible experience. Existence, the sensible a posteriori, on the other hand, is essentially synthetic, at least it is so according to Kant. An a posteriori judgement links or combines two heterogeneous concepts: A is B. “The Rose is Red” (6). 

 

Synthetic a priori judgement assumes that there is something irreducible to the concept. For Kant, that something is space and time. Identity, as pure thought without content, is irreducible to the domain of a posteriori existence. In other words, the concept is irreducible to the domain of sense.

 

Contrary to Kant, Leibniz had rejected synthetic judgement. For Leibniz, “we believe in the existence of synthetic judgements because we mever take the analysis far enough, which is to infinity”. (8) Leibniz’s proposition is inseparable from his conception of the differential calculus, wherein the straight line is the limit case of the curve together with his conception of the actual infinite. Synthetic judgement occurs only when we decide to stop the analytic analysis, or inscribe a determinate limit.

 

The fundamental point is that in Leibniz’s proposition of pure infinite analysis, space and time are indeed reducable to the domain of concepts. The here and now, or spatio-temporal position is treated as an “act of predication, which is to say an attributable concept.” (9)

 

In the passage from Leibniz to Kant we therefore have a profound difference in the predication of space and time. For Leibniz, space and time are attributable concepts while for Kant space and time are irreducible to the concept.

 

Let us therefore consider Kant’s example for a priori synthetic judgements: the proof that the sum of the angles in a triangle is equal to 180 degrees. The proof is essentially Pythagorean and the question that arises for Kant: is the demonstration an a priori analytical judgement or an a posteriori synthetic judgement?

 

Br

 

Theorum: If ABC is a triangle, then <ABC + <BCA + <CAB = 180°

 

Proof:

 

Extend line a through points A nd B. 

Draw line b through point C such that it is parallel to line a.

Define arbitrary points A’ and B’ on line b.

 

Sinces lines a amd b are parallel, <BAC = <B’CA and <ABC = <BCA’

Therefore, <B’CA + <ACB +<BCA’ = 180°

Thus, <ABC + <BCA +<CAB = 180°

 

As the concept of the triangle is defined as “three straight lines enclosing a space,” the demonstration that the sum of its angles being equal to 180 degrees cannot belong to the concept of the triangle. Why? Because the geometrical operations involved in the demonstration (tracing of two parallel lines and determination of exterior points (A’ and B’)) are not contained in the concept of the triangle itself. The parallel is a concept exterior to the triangle.

 

Therefore, for Kant, the proof is a synthetic judgement, but a very peculiar form of synthetic judgement: a universal and necessary form of judgement. In other words, an a priori synthetic judgement - a universal judgement which is determined in time and space. And this, for philosophy, is something quite new. 

 

Leibniz would not have agreed, maintaining that the judgement of the sum of its angles is indeed contained in the concept of the triangle; you just have to go far enough, which would essentially be a topological determination.

 

Returning to Kant, the a priori synthetic judgement will be something entirely new. Instead of creating an a posteriori link between two heterogeneous concepts, it operates “a synthesis between the concept, between a conceptual determination (the triangle in this case), and a group of spatio-temporal determinations.” (9)

 

The a priori synthetic judgement is a synthetic judgement which does not depend on the contingency of experience. Two or more concepts may be linked, and form necessary relations with one another from the “moment that there are rules of production.” In the case of the sum of the angles of the triangle, the concept of the triangle and the concept of the parallel are synthetically welded together according to a rule of production, which is essentially a determination of space and time.

 

The rule of production is the schemata, the scheme. It is the rule according to which a concept is produced in space and time. With a posteriori synthetic judgement, a synthesis begins in a determinate space-time recalling the concept. With a priori synthetic judgement, concepts are welded together according to the spatio-temporal logic of the schemata, and are universal. 

 

What is important is that the schemata is not an attribute. The second example provided by Deleuze: “the straight line is the shortest path between two points” (11). The concept of the line is essentially Euclidean: “The straight line is the line which is ex aequo in all its points.”  Recalling Archimedean geometry and the Epicurean notion of the clinamen (the minimum angle between a straight line and curve which constitues the curvature of the deviation of the movement of an atom), “the straight line is the shortest path between two points" is defined as a synthetic a priori judgement containing the welding of two concepts according to a rule of construction.

 

 

What two concepts are welded? And according to which schemata, or rule of production? The shortest path, according to Archimedean geometry, is the synthetic confrontation, or relation, between the straight line and curve. The act of tracing the tangent to the curve (note the sum of the angles of the triangle) is the schemata, or rule of production. The conceptual determination thus becomes a spatio-temporal determination via the schemata. “Shortest” is not an act of attribution, it is a relation, or rule of production.

 

It’s as if space, and more importantly time, under Kant, have relinquished their eternal curvature and subordination to movement, in order to become parameters of production. The a priori synthetic judgement is a way of occupying space-time, the occupation of “blocks of space-time,” a means of producing rhythms. As Deleuze himself put it: “a concept, at best, will give you the beat or the tempo...which is to say a homogeneous beat, but rhythmicity is something entirely different.” (13)

 

1. Gilles Deleuze, On Kant. Synthesis and Time. Cours Vincennes. 14.03.1978 − 04.04.1978

2-13. Ibid

 

 

 

 

 

 

 

 

 

 

 

 

 

Filed under  //   Deleuze   Kant  

spinozist phase space(s) and radical constructivism.

After a good deal of time dedicated to Deleuze’s ontology and specifically its relation to Spinoza’s metaphysics (principally The Ethics), one could very well arrive at the following conclusion:  representational or formal logical analysis will only get you so far, and most likely will risk missing the ‘essence’ or scope of the enterprise entirely. Spinoza, the “Prince of Philosophers,” no doubt central to Deleuze’s metaphysics,  from its inception to the radical conceptual undertakings of What is Philosophy, is a consistent presence along with his concepts of univocity, ontological parallelism, epistemological parallelism (powers) and  the substance-attributes-mode triad throughout Deleuze's entire opera.  Attempting to trace a grounded trajectory of this metaphysical system throughout Deleuze’s works (an issue coming ever more to the foreground as of recent) proves to be indeed difficult. What must be taken into account is Deleuze’s differential concept of the idea (set forth in Difference & Repetition only to be inverted upon the concept itself much later in What is Philosophy) and its grounding on a system of differentials. In other words, an idea, for Deleuze, was a manifold, something which operates beyond the mere numerical distinction of representation. His metaphysics must be considered from this point of view, in order to avoid the blockage and naked repetition which representation so often imposes. This persistent notion of the idea as objective must be overcome in order to truly encounter the outside of thought, and this act of thinking occurs within indeterminate zones as the formal structure of the Deleuzian idea encounters its outside.

 

 There is undoubtedly a wealth of literature on the subject of Deleuze's Spinozism, and undoubtedly contemporary trajectories in thought have emphasized the dialectical need to resolve the issue of Deleuze’s metaphysics, in one way or another. Such inquiries and critiques (and even if only indirectly) must to some degree confront Spinozism itself (such as the case of Badiou). Questions such as: “how does Deleuze break with or “unhinge” Spinozist metaphysics?” or “how does Deleuze’s immanent diad of ‘virtual-actual’ operate within the framework of Spinoza’s parallelist ontological triad of substance-attributes-modes?” A resolution of such questions and issues is vital in order to avoid misreadings which often leading to a 'flattening' out, or general impoverishment of Deleuze's metaphysical folding of empiricism and realism into one another within the continuum of immanent univocity.

 

Many embrace the ‘collapse’ reading, in which it is proposed that Deleuze somehow ‘collapsed’ Spinozist substance into the modes. Such a reading no doubt echoes the increasing reasonance of the need for a conceptual framework of the ‘real object’ within contemporary circles of realism. While sustaining that Deleuze did indeed ‘collapse’ substance into the modes may seem a reasonable proposition, it undoubtedly runs into a host of conceptual problems. Deleuze, clearly, as early as Difference & Repetition expressed his concerns that Spinoza’s onto-theological preoccupations appeared to prioritize substance (as fully self-causing and infinite) over the modes themselves. Substance (or the Substance/God of Spinoza) risked being difference from the modes themselves, thus rendering problematic  any attempt in ascribing any form of being at all to it consistent with a fully immanent univocity. For Deleuze, Spinoza’s substance was still somehow infused with ‘intelligable content,’ and therefore still at risk of inscribing itself within a transcendental plane: “there can be no idea of God, no essence of substance.” (Deleuze)

 

Deleuze’s well known phrase on the subject from Difference & Repetition: “All that Spinozism needed to do for the univocal to become an object of pure affirmation was to make substance turn around the modes - in other words, to realize univocity in the form of repetition of the Eternal Return.”

 

The first problem inherent in the reading of ‘collapse’ into this statement of Deleuze’s is quite simple. To paraphrase something Deleuze said in his Vincennes lectures on Spinoza: “when a philosopher employs two different terms it is generally because he has good reason to do so.”  The context of this phrase was in light of the fact that, in many cases, Spinoza’s concepts of Affectio and Affectus have both been translated into french as the single word 'feeling.' Deleuze described such reductive translations as being disastrous. Especially in light of the fact that there are two words in the french language or english corresponding to both Affectio and Affectus: affection and affect. Such reductive translations flatten rich concepts (negating the multiple) in favor of static representational schemes. So, in this sense, we must maintain that when Deleuze chose the phrase “turn around the modes” he did it for good reason, and would have had equally good reason to use the phrase “collapse onto” if he had wished. But, as he did not, the term 'collapse' would appear to be highly problematic and risk losing Deleuze's sense of terms: "substance must be said of the modes and only the modes." For there is a world of difference between saying (expression) and collapsing.

 

The second problem in the “collapse” reading would arise through Nietzsche. For Deleuze’s initial 'unhinging' (for we may certainly speak of unhinging) of Spinoza came through the Eternal Return of Nietzsche, and “turn” indeed begins to make more sense when read in the context of Nietzsche. Spinoza's substance-attribute-mode triad do indeed make a turn, finding a new grounding in Nietzsche's eternal recurrence of the event, in which the real is posited as a perpetual state of becoming. The metaphor employed in Difference & Repetition is a circle in which the center is difference and the periphery sameness. At first glance, therefore, the proposal that Deleuze ‘collapsed substance’ into the modes would appear highly problematic (spatial conceptualizations aside), even though the 'collapse' position has evidently been well received by factions intent on undermining the foundations of Deleuze’s rich form of empiricism.

 

On the other side, arguments abound in favor of the proposition that Deleuze maintained the Spinozist substance-attribute-mode triad, although undoubtedly with significant modifications. The central point of these arguments is that the Spinozist 'infrastructure' of Deleuzian metaphysics remained and remians intact. This position has often been taken up in reaction to critiques of Deleuze’s univocity and essentially states that such critiques stem from an inadequate notion of Deleuze’s concept of numerical and non-numerical multiplicity in relation to his univocal expressionism. Such critiques accuse Deleuze of monism (and consequentially transcendentalism) from what is deduced as a fundamentally contradictory being with regards to numerical multiplicity: in other words, the contradiction lies in Deleuze having posited a univocity consisting of the One/Many. The defense of such critique is grounded on recognizing that such a critique essentially misconstrues Deleuze’s notion of multiplicity, correctly asserting that in reality Deleuze posits two forms of multiplicity, the non-numerical (or difference in itself) and the numerical (actualized modes): the One/All.

 

As stated by Deleuze: "Whereas the Many in relation to the One merely makes the modes turn around Substance, Multiplicity makes Substance turn around the modes."

 

Thus, Deleuze’s univocity, grounded on two qualitatively different conceptions of multiplicity (the numerical and non-numerical) expresses a fully immanent ontology, in which the essence of substance and the essence of the modes are both immanently expressed, through eternal recurrence, by the attributes. The essence of substance is a non-numerical (Riemannian) multiplicity while the essence of substance is, in turn, numerical multiplicity.  Spinoza’s metaphysicals, now grounded on qualitative multiplicty and the eternal recurrence of the event, becomes fully immanent and its conceptual structure intact. Substance, as pure difference beyond the concept, remains as the innumerable outside of the concept, beyond the representational contradictions of the numerical.

 

This second proposition would appear to place the immanent virtual and actual diad within the Spinozist triad of substance-attributes-modes (with the attributes as a process of actualization or counter-actualization). The 'collapse' reading of Deleuze's metaphysics, appeasr to propose a nominal reworking of the Deleuzian Spinozist framework in which the virtual and actual are posited as new conceptual entities.

 

Yet in a certain sense, this all somehow risks missing the point, for it is doubtful that Deleuze (and Deleuze & Guattari) ever employed this metaphysical system on a unitary, consistent, or representational basis. Deleuze’s Spinozist ideas and concepts must always be considered from the point of view of their formal qualities, as shifting bodies constructed on singular points (of which no doubt univocity, parallelism, immanent causality). In other words, the fundamental metaphysical concepts of Deleuze may be better grasped if conceptualized as phase spaces: the idea as always a problem or problematic, never inseparable from its local expression. Throughout Deleuze's works, numerous shifts, cuts, jumps, caesuras and realignments testify to the rhythmic and dynamic conception of ideas and concepts themselves. To follow the trajectories of Deleuze's Spinozist trajectories, perhaps topology, or the study of that which remains fixed in any given series of deformations, is the most useful tool.

 

Thomas Nail’s "Expression, Immanence and Constructivism: 'Spinozism' and Gilles Deleuze” explores four of such ‘phase’ changes in Deleuze’s concept of Spinozist immanent causality through Deleuze's use of philosophical constructivism:

 

1). Expressionism in Philosophy: one of Deleuze’s first immanent critiques of Spinoza in which immanent causality is posited as a problem of expression, to be resolved through the reworking of expressionism itself, solving the relationship between substance, attribute and mode but positing expression such that it reciprocally presupposes “substantial self-causality within attribute and mode."

 

2). Difference & Repetition: Deleuze’s immanent critique of Spinoza in which the potential ‘privilege’ of Spinoza’s onto-theological substance is confronted, and resolved through positing being as non-numerical difference.

 

3). A Thousand Plateaus, with Félix Guattari: Spinozian Substance is referred to as a series of multiples, as multiplicities.

 

“Thus each individual is an infinite multiplicity, and the whole of Nature is a multiplicity of perfectly individuated multiplicites...a continuum of all substances in intensity and of all intensities of substance...all BwO's pay homage to Spinoza." (ATP)

 

4). What is Philosophy? with Félix Guattari. Immanent causality is applied to the constructive causality of the concept itself, resulting in the multiplying of the planes of substances. Spinoza’s substance becomes one plane amongst the others:

 

“Immanence does not refer back to the Spinozist substance and modes but, on the contrary, the Spinozist concepts of substance and modes refer back to the plane of immanence as their presupposition.” (WIP)

 

In What is Philosophy, it is the immanence of Spinoza’s philosophical constructivism which allows for the simultaneous presupposition of substance, the attributes and modes. Spinoza is thus crowned as “prince of philosophers,’ for having constructed the framework for the most immanent metaphysical system to date, as substance is multiplied along a multiplicity of planes. This radical constructivism was no doubt foreshadowed in the lines of A Thousand Plateaus: “In truth, it is not enough to say ‘long live the multiple,’ difficult as it is to raise that cry...the multiple must be made."

 

It is beyond the scope of this post to go into the ramifications of such radical constructivism, but rather to affirm that Deleuzian ideas and concepts (the complex relation and distinction of which must be maintained) are best grasped when understood as multiples, differentials, or manifolds. Searching for fixed or overtly representational systems will often lead to badly stated problems, or, worse yet, hasty bridges leading to realist readings of Deleuze. As early as ‘Spinoza: Practical Philosophy,’ Deleuze expounded the formal qualities of the idea itself, in opposition to (and relation with) the objective or representational qualities of the idea. The idea must embrace difference itself.

 

The Deleuzian idea, as manifold (affectio, affection, represented mathematically as phase space) constructs a body upon a continuous n-dimensional multiplicity which itself consists of modes or virtual points, which in turn can never be identical to the ‘n’ coordinates of the body itself. The formal qualities of the idea are thus differential relations between virtual points, which guide the body, or idea-body, through countless states. Spinoza’s immanent causality is no doubt one of these virtual attractors, or singularities together with many others, parallelism and univocity.

 

Singular points may come and go, emerge or shift yet again to the outside,  or new local connections made: the idea as multiplicity will always undergo qualitative change with the addition or subtraction of any given singularity, any change of dimensions.

 

And as the idea reaches infinite speed and approaches its degree-zero, the Deleuzian plane of immanence gives way to the purest of singularities - the Spinozist singularity of immanent causality. Which leads What is Philosophy to posit that which would have been unthinkable for Spinoza himself: the eternal return of substance, or the infinite continuum of substance as multiplicity.

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