Briefings on Existence: A Short Treatise on Transitory OntologyExplores the link between mathematics and ontology. This book continues Alain Badiou s project to posit an integral link between mathematics and ontology. Originally published as part of a trilogy in 1998, Briefings on Existence engages the ideas of Deleuze, Spinoza, Plato, Aristotle, and Kant and outlines how the philosophical inquiry into Being and existence converges with the possible world topology of category theory. Set against the background of a multiplication of gods that can be declared dead (the gods of religions, metaphysics, and poetry), Badiou argues that the extension of these events has fallen short of accomplishing its collective promise, but can be achieved through the mathematical understanding of ontology. After several remarkable decades of theoretical invention, French philosophy stands at a crossroads, and Badiou s egalitarian materialism is one of its strongest calls forward. |
Contents
Alain BadiouBack to the Mathematical Line | 1 |
God is Dead | 21 |
1 THE QUESTION OF BEING TODAY | 33 |
2 MATHEMATICS IS A THOUGHT | 45 |
3 THE EVENT AS TRANSBEING | 59 |
4 DELEUZES VITALIST ONTOLOGY | 63 |
5 SPINOZAS CLOSED ONTOLOGY | 73 |
6 PLATONISM AND MATHEMATICAL ONTOLOGY | 89 |
10 FIRST PROVISIONAL THESES ON LOGIC | 119 |
11THE BEING OF NUMBER | 125 |
12 KANTS SUBTRACTIVE ONTOLOGY | 133 |
13 GROUP CATEGORY SUBJECT | 143 |
14 BEING AND APPEARING | 153 |
ANNEX | 169 |
NOTES | 171 |
CONTRIBUTORS | 183 |
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Briefings on Existence: A Short Treatise on Transitory Ontology Alain Badiou No preview available - 2006 |
Common terms and phrases
absolutely according Alain Badiou algebra appearing Aristotelian Aristotle Aristotle’s arrow ascertain assert attribute axiom axiomatic Being’s called Cantor’s category theory causality concept condition consistency Continuum Hypothesis correlation coupling dead definition Deleuze Deleuze’s determination difference ematics equivocal Ethics event existence existential fact finite formal Gilles Deleuze God’s Heidegger Ibid idea identity immanent inconsistent indiscernible infinite intellect infinite mode infinity insofar intentionally left blank intrinsic intuition isomorphism Kant Kant’s L’Être et l’événement Leibniz linguistic turn linkage Lucretius macro-group Mallarmé manifold-being math mathematical logic mathematical thought matter means metaphysics neutral element Nietzsche norm notion number kinds One’s ontology operations operatory ordinal Parmenides philosophy Plato Platonist possible universes principle problem proposition pure manifold pure multiple question real numbers relation sense Set Theory singular Spinoza structure Subject subtracted theorem thesis things thinkable thinking tion topos theory trans transcendental translation truth undecidable unity univocity upshot void Wittgenstein