All posts filed under: axiomatics

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 […]