33 ideas
12330 | In ontology, logic dominated language, until logic was mathematized [Badiou] |
12318 | The female body, when taken in its entirety, is the Phallus itself [Badiou] |
12325 | Philosophy has been relieved of physics, cosmology, politics, and now must give up ontology [Badiou] |
8378 | Philosophers usually learn science from each other, not from science [Russell] |
12324 | Consensus is the enemy of thought [Badiou] |
12337 | There is 'transivity' iff membership ∈ also means inclusion ⊆ [Badiou] |
12321 | The axiom of choice must accept an indeterminate, indefinable, unconstructible set [Badiou] |
12342 | Topos theory explains the plurality of possible logics [Badiou] |
12341 | Logic is a mathematical account of a universe of relations [Badiou] |
12335 | Numbers are for measuring and for calculating (and the two must be consistent) [Badiou] |
12334 | There is no single unified definition of number [Badiou] |
12333 | Each type of number has its own characteristic procedure of introduction [Badiou] |
12322 | Must we accept numbers as existing when they no longer consist of units? [Badiou] |
12327 | The undecidability of the Continuum Hypothesis may have ruined or fragmented set theory [Badiou] |
12329 | If mathematics is a logic of the possible, then questions of existence are not intrinsic to it [Badiou] |
12328 | Platonists like axioms and decisions, Aristotelians like definitions, possibilities and logic [Badiou] |
12331 | Logic is definitional, but real mathematics is axiomatic [Badiou] |
12340 | There is no Being as a whole, because there is no set of all sets [Badiou] |
12323 | Existence is Being itself, but only as our thought decides it [Badiou] |
12332 | The modern view of Being comes when we reject numbers as merely successions of One [Badiou] |
12326 | The primitive name of Being is the empty set; in a sense, only the empty set 'is' [Badiou] |
12320 | Ontology is (and always has been) Cantorian mathematics [Badiou] |
8375 | 'Necessary' is a predicate of a propositional function, saying it is true for all values of its argument [Russell] |
3158 | Theories of intentionality presuppose rationality, so can't explain it [Dennett] |
3159 | Beliefs and desires aren't real; they are prediction techniques [Dennett] |
12338 | We must either assert or deny any single predicate of any single subject [Badiou] |
12316 | For Enlightenment philosophers, God was no longer involved in politics [Badiou] |
4396 | The law of causality is a source of confusion, and should be dropped from philosophy [Russell] |
8376 | If causes are contiguous with events, only the last bit is relevant, or the event's timing is baffling [Russell] |
8380 | Striking a match causes its igniting, even if it sometimes doesn't work [Russell] |
8379 | In causal laws, 'events' must recur, so they have to be universals, not particulars [Russell] |
8381 | The constancy of scientific laws rests on differential equations, not on cause and effect [Russell] |
12317 | The God of religion results from an encounter, not from a proof [Badiou] |