52 ideas
| 12330 | In ontology, logic dominated language, until logic was mathematized [Badiou] |
| 9808 | Philosophy aims to reveal the grandeur of mathematics [Badiou] |
| 9271 | Human knowledge may not produce well-being; the examined life may not be worth living [Gray] |
| 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] |
| 10017 | Truth in a model is more tractable than the general notion of truth [Hodes] |
| 10018 | Truth is quite different in interpreted set theory and in the skeleton of its language [Hodes] |
| 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] |
| 10015 | Higher-order logic may be unintelligible, but it isn't set theory [Hodes] |
| 12341 | Logic is a mathematical account of a universe of relations [Badiou] |
| 10011 | Identity is a level one relation with a second-order definition [Hodes] |
| 10016 | When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes] |
| 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] |
| 10027 | Mathematics is higher-order modal logic [Hodes] |
| 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] |
| 10026 | Arithmetic must allow for the possibility of only a finite total of objects [Hodes] |
| 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] |
| 10021 | It is claimed that numbers are objects which essentially represent cardinality quantifiers [Hodes] |
| 10022 | Numerical terms can't really stand for quantifiers, because that would make them first-level [Hodes] |
| 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] |
| 9809 | Mathematics inscribes being as such [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] |
| 9811 | It is of the essence of being to appear [Badiou] |
| 12320 | Ontology is (and always has been) Cantorian mathematics [Badiou] |
| 10023 | Talk of mirror images is 'encoded fictions' about real facts [Hodes] |
| 9275 | Knowledge does not need minds or nervous systems; it is found in all living things [Gray] |
| 9276 | The will hardly ever does anything; most of our life just happens to us [Gray] |
| 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] |
| 9278 | Nowadays we identify the free life with the good life [Gray] |
| 12316 | For Enlightenment philosophers, God was no longer involved in politics [Badiou] |
| 9280 | Over forty percent of the Earth's living tissue is human [Gray] |
| 23061 | Free atheism should start by questioning its faith in humanity [Gray] |
| 23057 | Gnosticism has a supreme creator God, giving way to a possibly hostile Demiurge [Gray] |
| 23056 | Judaism only became monotheistic around 550 BCE [Gray] |
| 9272 | Without Christianity we lose the idea that human history has a meaning [Gray] |
| 23055 | Christians introduced the idea that a religion needs a creed [Gray] |
| 9279 | What was our original sin, and how could Christ's suffering redeem it? [Gray] |
| 23058 | Buddhism has no divinity or souls, and the aim is to lose the illusion of a self [Gray] |
| 12317 | The God of religion results from an encounter, not from a proof [Badiou] |