37 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] |
| 15118 | A successful Aristotelian 'definition' is what sciences produces after an investigation [Koslicki] |
| 15116 | Essences cause necessary features, and definitions describe those necessary features [Koslicki] |
| 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] |
| 10464 | A trope is a bit of a property or relation (not an exemplification or a quality) [Bacon,John] |
| 10465 | Trope theory is ontologically parsimonious, with possibly only one-category [Bacon,John] |
| 10467 | Individuals consist of 'compresent' tropes [Bacon,John] |
| 15110 | An essence and what merely follow from it are distinct [Koslicki] |
| 15113 | Individuals are perceived, but demonstration and definition require universals [Koslicki] |
| 15112 | If an object exists, then its essential properties are necessary [Koslicki] |
| 10466 | Maybe possible worlds are just sets of possible tropes [Bacon,John] |
| 15111 | In demonstration, the explanatory order must mirror the causal order of the phenomena [Koslicki] |
| 15115 | In a demonstration the middle term explains, by being part of the definition [Koslicki] |
| 15117 | Greek uses the same word for 'cause' and 'explanation' [Koslicki] |
| 15114 | Discovering the Aristotelian essence of thunder will tell us why thunder occurs [Koslicki] |
| 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] |
| 12317 | The God of religion results from an encounter, not from a proof [Badiou] |