46 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] |
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] |
20457 | Zeno assumes collecting an infinity of things makes an infinite thing [Rovelli] |
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] |
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] |
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] |
20468 | Quantum mechanics deals with processes, rather than with things [Rovelli] |
20467 | Quantum mechanics describes the world entirely as events [Rovelli] |
12320 | Ontology is (and always has been) Cantorian mathematics [Badiou] |
594 | Speusippus suggested underlying principles for every substance, and ended with a huge list [Speussipus, by Aristotle] |
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] |
20469 | There are probably no infinities, and 'infinite' names what we do not yet know [Rovelli] |
20461 | The basic ideas of fields and particles are merged in quantum mechanics [Rovelli] |
20462 | Because it is quantised, a field behaves like a set of packets of energy [Rovelli] |
20463 | There are about fifteen particles fields, plus a few force fields [Rovelli] |
20464 | The world consists of quantum fields, with elementary events happening in spacetime [Rovelli] |
20459 | Electrons only exist when they interact, and their being is their combination of quantum leaps [Rovelli] |
20460 | Electrons are not waves, because their collisions are at a point, and not spread out [Rovelli] |
20466 | Quantum Theory describes events and possible interactions - not how things are [Rovelli] |
20465 | Nature has three aspects: granularity, indeterminacy, and relations [Rovelli] |
20458 | The world is just particles plus fields; space is the gravitational field [Rovelli] |
20470 | Only heat distinguishes past from future [Rovelli] |
2632 | Speusippus said things were governed by some animal force rather than the gods [Speussipus, by Cicero] |
12317 | The God of religion results from an encounter, not from a proof [Badiou] |