45 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] |
12801 | Coherentists seek relations among beliefs that are simple, conservative and explanatory [Foley] |
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] |
17536 | If it can't be expressed mathematically, it can't occur in nature? [Heisenberg] |
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] |
17545 | Quantum theory shows that exact science does not need dogmatic realism [Heisenberg] |
17538 | Quantum theory does not introduce minds into atomic events [Heisenberg] |
17534 | A 'probability wave' is a quantitative version of Aristotle's potential, a mid-way type of reality [Heisenberg] |
17553 | We can retain the idea of 'substance', as indestructible mass or energy [Heisenberg] |
17544 | Basic particles have a mathematical form, which is more important than their substance [Heisenberg] |
12800 | Externalists want to understand knowledge, Internalists want to understand justification [Foley] |
12802 | We aren't directly pragmatic about belief, but pragmatic about the deliberation which precedes it [Foley] |
12803 | Justification comes from acceptable procedures, given practical constraints [Foley] |
17550 | We give a mathematical account of a system of natural connections in order to clarify them [Heisenberg] |
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] |
17549 | Seven theories in science: mechanics, heat, electricity, quantum, particles, relativity, life [Heisenberg, by PG] |
17540 | Energy is that which moves, and is the substance from which everything is made [Heisenberg] |
17541 | Energy is an unchanging substance, having many forms, and causing all change [Heisenberg] |
17548 | Maxwell introduced real fields, which transferred forces from point to point [Heisenberg] |
17533 | Radiation interference needs waves, but radiation photoelectric effects needs particles [Heisenberg] |
17532 | An atom's stability after collisions needs explaining (which Newton's mechanics can't do) [Heisenberg] |
17537 | Position is complementary to velocity or momentum, so the whole system is indeterminate [Heisenberg] |
17551 | It was formerly assumed that electromagnetic waves could not be a reality in themselves [Heisenberg] |
17543 | So-called 'empty' space is the carrier of geometry and kinematics [Heisenberg] |
17552 | In relativity the length of the 'present moment' is relative to distance from the observer [Heisenberg] |
12317 | The God of religion results from an encounter, not from a proof [Badiou] |