42 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] |
17082 | Paradox: why do you analyse if you know it, and how do you analyse if you don't? [Ruben] |
12324 | Consensus is the enemy of thought [Badiou] |
22361 | Contextual values are acceptable in research, but not in its final evaluation [Reichenbach, by Reiss/Sprenger] |
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] |
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] |
12320 | Ontology is (and always has been) Cantorian mathematics [Badiou] |
18278 | Kant showed that our perceptions are partly constructed from our concepts [Reichenbach] |
17087 | The 'symmetry thesis' says explanation and prediction only differ pragmatically [Ruben] |
17081 | Usually explanations just involve giving information, with no reference to the act of explanation [Ruben] |
17092 | An explanation needs the world to have an appropriate structure [Ruben] |
17090 | Most explanations are just sentences, not arguments [Ruben] |
17094 | The causal theory of explanation neglects determinations which are not causal [Ruben] |
17088 | Reducing one science to another is often said to be the perfect explanation [Ruben] |
17089 | Facts explain facts, but only if they are conceptualised or named appropriately [Ruben] |
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] |
8410 | A theory of causal relations yields an asymmetry which defines the direction of time [Reichenbach, by Salmon] |
14935 | The direction of time is grounded in the direction of causation [Reichenbach, by Ladyman/Ross] |
12317 | The God of religion results from an encounter, not from a proof [Badiou] |