By Gabriel Riera
An advent to Badiou's philosophical proposal and its implications for different humanistic disciplines and the social sciences.
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Extra info for Alain Badiou: Philosophy and Its Conditions
After all, does reduction not imply the eminently dubitable feature of transcendent and positivist philosophies that, save for phenomenology, aim to crush the singular through a tendency toward the general? Is it not supposed to carry this out by means of a speculative gesture whose overarching grasp determines its aim and scope? This is at least one way that reduction has come to represent the worst type of formalism in thought. It has also worked at eliminating metaphorical expansion from philosophical analy· sis.
In set theory, if one can postulate that sets "contain" members and subsets, then one can prove whether they are identical by comparing two sets. For any set A and for any set B, if a belongs to A and b be longs to B, and a is equal to b, then it stands to reason that A is equal to B, at least 30 NORMAN MADARASZ in terms of set theory. Indeed, one of set theory's virtues is its ability to prove that identity of manifolds is a function of the equality of their internal properties, and consequently so is difference.
Badiou, Court traite d'ontologie transitoire [Paris: Editions du Seuil, 1 998), 1 25). 1 3. " 14. Lavendhomme, Lieux du sujet. 15. " 1 6. " 1 7. Ibid. 1 8. Ibid. ON ALAIN BADIOU'S TREATMENT OF CATEGORY THEORY 43 19. " 20. W. " 21 . " 22. " This page intentionally left blank. TWO The Ontological Dispute Badiou, Heidegger, and Deleuze Miguel de Beistegui (Translated by Ray Brassier) Alain Badiou's philosophical project can be succinctly summarized. It consists in a genuinely metaphysical attempt to free thought from the double horizon of unic· ity (whereby it posits itself as ontology) and transcendence (whereby it is theology).
Alain Badiou: Philosophy and Its Conditions by Gabriel Riera