53 ideas
12330 | In ontology, logic dominated language, until logic was mathematized [Badiou] |
9808 | Philosophy aims to reveal the grandeur of mathematics [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] |
12249 | 'Animal' is a genus and 'rational' is a specific difference [Oderberg] |
12242 | Definition distinguishes one kind from another, and individuation picks out members of the kind [Oderberg] |
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] |
9812 | In mathematics, if a problem can be formulated, it will eventually be solved [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] |
12238 | The Aristotelian view is that numbers depend on (and are abstracted from) other things [Oderberg] |
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] |
9813 | Mathematics shows that thinking is not confined to the finite [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] |
9809 | Mathematics inscribes being as such [Badiou] |
12340 | There is no Being as a whole, because there is no set of all sets [Badiou] |
12254 | Being is substantial/accidental, complete/incomplete, necessary/contingent, possible, relative, intrinsic.. [Oderberg] |
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] |
9811 | It is of the essence of being to appear [Badiou] |
12320 | Ontology is (and always has been) Cantorian mathematics [Badiou] |
12253 | If tropes are in space and time, in what sense are they abstract? [Oderberg] |
12256 | We need to distinguish the essential from the non-essential powers [Oderberg] |
12252 | Empiricists gave up 'substance', as unknowable substratum, or reducible to a bundle [Oderberg] |
12241 | Essences are real, about being, knowable, definable and classifiable [Oderberg, by PG] |
12244 | Nominalism is consistent with individual but not with universal essences [Oderberg] |
12240 | Essentialism is the main account of the unity of objects [Oderberg] |
12247 | Essence is not explanatory but constitutive [Oderberg] |
12258 | Properties are not part of an essence, but they flow from it [Oderberg] |
12257 | Could we replace essence with collections of powers? [Oderberg] |
12236 | Leibniz's Law is an essentialist truth [Oderberg] |
12250 | Bodies have act and potency, the latter explaining new kinds of existence [Oderberg] |
12234 | Realism about possible worlds is circular, since it needs a criterion of 'possible' [Oderberg] |
12235 | Necessity of identity seems trivial, because it leaves out the real essence [Oderberg] |
12237 | Rigid designation has at least three essentialist presuppositions [Oderberg] |
12338 | We must either assert or deny any single predicate of any single subject [Badiou] |
9814 | All great poetry is engaged in rivalry with mathematics [Badiou] |
12316 | For Enlightenment philosophers, God was no longer involved in politics [Badiou] |
12245 | Essence is the source of a thing's characteristic behaviour [Oderberg] |
12246 | What makes Parmenidean reality a One rather than a Many? [Oderberg] |
12239 | The real essentialist is not merely a scientist [Oderberg] |
12243 | The reductionism found in scientific essentialism is mistaken [Oderberg] |
12317 | The God of religion results from an encounter, not from a proof [Badiou] |
1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |