All posts filed under: axiom

Syntax

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axiom / form / image / multiplicity / noise / ontology / parasite / real / spirit / theory / writing

    The actual trace or cutting edge of theory is a veritable penetration into reality, not a moment but a certain force or intensity of thought which maintains its position in relationship to the real (understood as the indeterminate gap between syntax and spirit, or between an axiom and the imaginative power which both conditions and evades its’ grammar.) Reality and image, disjoint but co-present, conjoined only asymmetrically at specific suture points of flux: […]

(Non-)Epistemology and Ontology: Three more definitions from Laruelle’s Dictionnaire

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Aesthetic / axiom / badiou / epistemology / form / Laruelle / legitimacy / matter / non-philosophy / ontology / science / transcendental

Laruelle, Francois. Dictionnaire de la non-philosophie. Paris, Kime, 1998. Original translation by Taylor Adkins. Non-epistemology Unified theory of science and philosophy that takes for its object and material the discourse which lays claim to a particular mixture of science and philosophy: epistemology. Philosophy recognizes epistemology in two ways which are not always exclusive. It can treat it as a continuation of traditional philosophy of science, crystallized around the Kantian question of the possibility of science, […]

Fair Reflection

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axiom / derrida / diagram / fear / Interpretation / joy / Marx / proof / property

The selfish misconception that induces you to transform into eternal laws of nature and of reason, the social forms springing from your present mode of production and form of property — historical relations that rise and disappear in the progress of production — this misconception you share with every ruling class that has preceded you. What you see clearly in the case of ancient property, what you admit in the case of feudal property you […]

Translation of Vision-in-One: Additional Definition to Laruelle’s Dictionary of Non-Philosophy

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axiomatics / badiou / Deleuze / determination / French Translation / immanence / Laruelle / non-philosophy / the count / the multiple / the One / the Real / Theory / Philosophy / Untranslated Theory / vision-in-one

The following is an entry from Francois Laruelle’s Dictionnaire de la non-philosophie. Paris: Editions Kimé, 1998. Original translation by Sid Littlefield, 10/31/07. Vision-in-One (One, One-in-One, Real) Primary concept of non-philosophy, equivalent with “One-in-One” or the “Real.” What determines the theory of in-the-last-instance and the pragmatics of the Thought-World (“philosophy”). The vision-in-one is radically immanent and universal; it is the given-without-givenness of the givenness of the Thought-World. Philosophy is the desire and oppression of the One, […]

Translation: Six Entries from Francois Laruelle’s Dictionary of Non-Philosophy

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axiomatics / decision / first science / fractality / French Translation / Laruelle / metascience / non-philosophy / Theory / Philosophy / transcendental / Untranslated Theory

Francois Laruelle’s project (from the following entries) can, in my opinion, be best related to the previous translations I have posted on Alain Badiou and Albert Lautman. Badiou’s concept of model as coupling (ideological/scientific)–like Laruelle’s coupling of philosophy/non-philosophy–and questions of logical formalism intersect well with Lautman’s discussion of Hilbert and metamathematics. Although Laruelle specifically names Deleuze (in a negative way, moreover), his project seems to have the strongest correlation to Alain Badiou (especially some of […]

Translation: Albert Lautman’s Essay on the Notions of Structure and Existence in Mathematics

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axiomatics / Brunschvicg / Deleuze / Difference and Repetition / foundations of mathematics / French Translation / Hilbert / Lautman / mathematics / metamathematics / Poirier / problematics / Russell / Uncategorized / Untranslated Theory / Whitehead

We should speak of a dialectics of the calculus rather than a metaphysics. By “dialectic” we do not mean any kind of circulation of opposing representations which would make them coincide in the identity of a concept, but the problem element in so far as this may be distinguished from the properly mathematical element of solutions. Following Lautman’s general thesis, a problem has three aspects: its difference in kind from solutions; its transcendence in relation […]