49 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] |
| 2319 | Metaphysics is the clarification of the ontological relationships between different areas of thought [Kim] |
| 12325 | Philosophy has been relieved of physics, cosmology, politics, and now must give up ontology [Badiou] |
| 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] |
| 2317 | Reductionism is good on light, genes, temperature and transparency [Kim, by PG] |
| 2310 | Supervenience is linked to dependence [Kim] |
| 2315 | Mereological supervenience says wholes are fixed by parts [Kim] |
| 12320 | Ontology is (and always has been) Cantorian mathematics [Badiou] |
| 2329 | Causal power is a good way of distinguishing the real from the unreal [Kim] |
| 2320 | Properties can have causal powers lacked by their constituents [Kim] |
| 530 | There are two contradictory arguments about everything [Kim] |
| 13314 | Protagoras says arguments on both sides are always equal [Kim, by Seneca] |
| 2065 | Not every person is the measure of all things, but only wise people [Plato on Kim] |
| 1550 | Why didn't Protagoras begin by saying "a tadpole is the measure of all things"? [Plato on Kim] |
| 2318 | Agency, knowledge, reason, memory, psychology all need mental causes [Kim, by PG] |
| 16634 | I can't be unaware of anything which is in me [Descartes] |
| 2325 | It seems impossible that an exact physical copy of this world could lack intentionality [Kim] |
| 2324 | Intentionality as function seems possible [Kim] |
| 2314 | Maybe intentionality is reducible, but qualia aren't [Kim] |
| 2313 | Emergentism says there is no explanation for a supervenient property [Kim] |
| 2328 | The only mental property that might be emergent is that of qualia [Kim] |
| 2309 | Non-Reductive Physicalism relies on supervenience [Kim] |
| 2311 | Maybe strong supervenience implies reduction [Kim] |
| 2308 | Identity theory was overthrown by multiple realisations and causal anomalies [Kim] |
| 2322 | Multiple realisation applies to other species, and even one individual over time [Kim] |
| 2327 | Knowledge and inversion make functionalism about qualia doubtful [Kim] |
| 2323 | Emotions have both intentionality and qualia [Kim] |
| 12338 | We must either assert or deny any single predicate of any single subject [Badiou] |
| 3635 | Essence must be known before we discuss existence [Descartes] |
| 12316 | For Enlightenment philosophers, God was no longer involved in politics [Badiou] |
| 3634 | We can't prove a first cause from our inability to grasp infinity [Descartes] |
| 12317 | The God of religion results from an encounter, not from a proof [Badiou] |