41 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] |
| 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] |
| 5311 | If observation goes up a level, we expect the laws of the lower level to remain in force [Wilson,EO] |
| 12320 | Ontology is (and always has been) Cantorian mathematics [Badiou] |
| 5312 | A child first sees objects as distinct, and later as members of groups [Wilson,EO] |
| 5309 | Beliefs are really enabling mechanisms for survival [Wilson,EO] |
| 12580 | Experiences have no conceptual content [Evans, by Greco] |
| 7643 | We have far fewer colour concepts than we have discriminations of colour [Evans] |
| 23794 | Some representational states, like perception, may be nonconceptual [Evans, by Schulte] |
| 16366 | The Generality Constraint says if you can think a predicate you can apply it to anything [Evans] |
| 12575 | Concepts have a 'Generality Constraint', that we must know how predicates apply to them [Evans, by Peacocke] |
| 12338 | We must either assert or deny any single predicate of any single subject [Badiou] |
| 5310 | Philosophers study the consequences of ethics instead of its origins [Wilson,EO] |
| 5313 | The rules of human decision-making converge and overlap in a 'human nature' [Wilson,EO] |
| 5316 | We undermine altruism by rewarding it, but we reward it to encourage it [Wilson,EO] |
| 5318 | Pure hard-core altruism based on kin selection is the enemy of civilisation [Wilson,EO] |
| 5317 | The actor is most convincing who believes that his performance is real [Wilson,EO] |
| 12316 | For Enlightenment philosophers, God was no longer involved in politics [Badiou] |
| 5308 | The only human purpose is that created by our genetic history [Wilson,EO] |
| 5314 | Cultural evolution is Lamarckian and fast, biological evolution is Darwinian and slow [Wilson,EO] |
| 5315 | Over 99 percent of human evolution has been in the hunter-gatherer phase [Wilson,EO] |
| 12317 | The God of religion results from an encounter, not from a proof [Badiou] |
| 5320 | It is estimated that mankind has produced 100,000 religions [Wilson,EO] |