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Ideas of Alain Badiou, by Text
[French, b.1937, Born in Morocco. Chair of Philosophy at the École Normale Supérieure.]
1998
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Briefings on Existence
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p.27
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12318
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The female body, when taken in its entirety, is the Phallus itself
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1
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p.40
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12320
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Ontology is (and always has been) Cantorian mathematics
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10
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p.119
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12331
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Logic is definitional, but real mathematics is axiomatic
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1011b24
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p.107
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12338
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We must either assert or deny any single predicate of any single subject
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11
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p.125
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12332
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The modern view of Being comes when we reject numbers as merely successions of One
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11
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p.125
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12333
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Each type of number has its own characteristic procedure of introduction
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11
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p.126
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12334
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There is no single unified definition of number
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11
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p.126
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12335
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Numbers are for measuring and for calculating (and the two must be consistent)
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11
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p.128
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12337
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There is 'transivity' iff membership ∈ also means inclusion ⊆
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14
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p.160
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12340
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There is no Being as a whole, because there is no set of all sets
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14
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p.165
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12341
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Logic is a mathematical account of a universe of relations
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14
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p.167
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12342
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Topos theory explains the plurality of possible logics
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2
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p.52
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12321
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The axiom of choice must accept an indeterminate, indefinable, unconstructible set
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2
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p.53
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12322
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Must we accept numbers as existing when they no longer consist of units?
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2
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p.55
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12323
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Existence is Being itself, but only as our thought decides it
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2
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p.56
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12324
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Consensus is the enemy of thought
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3
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p.59
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12325
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Philosophy has been relieved of physics, cosmology, politics, and now must give up ontology
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6
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p.98
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12326
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The primitive name of Being is the empty set; in a sense, only the empty set 'is'
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6
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p.99
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12327
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The undecidability of the Continuum Hypothesis may have ruined or fragmented set theory
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7
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p.103
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12329
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If mathematics is a logic of the possible, then questions of existence are not intrinsic to it
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7
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p.103
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12328
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Platonists like axioms and decisions, Aristotelians like definitions, possibilities and logic
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8
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p.110
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12330
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In ontology, logic dominated language, until logic was mathematized
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Prol
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p.22
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12316
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For Enlightenment philosophers, God was no longer involved in politics
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Prol
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p.26
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12317
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The God of religion results from an encounter, not from a proof
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2004
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Mathematics and Philosophy: grand and little
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p.11
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p.11
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9808
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Philosophy aims to reveal the grandeur of mathematics
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p.12
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p.12
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9809
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Mathematics inscribes being as such
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p.16
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p.16
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9811
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It is of the essence of being to appear
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p.17
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p.17
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9812
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In mathematics, if a problem can be formulated, it will eventually be solved
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p.19
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p.19
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9813
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Mathematics shows that thinking is not confined to the finite
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p.20
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p.20
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9814
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All great poetry is engaged in rivalry with mathematics
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