41 ideas
12330 | In ontology, logic dominated language, until logic was mathematized [Badiou] |
3695 | Philosophy is a priori if it is anything [Bonjour] |
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] |
3651 | Perceiving necessary connections is the essence of reasoning [Bonjour] |
12324 | Consensus is the enemy of thought [Badiou] |
3700 | Coherence can't be validated by appeal to coherence [Bonjour] |
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] |
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] |
3697 | The concept of possibility is prior to that of necessity [Bonjour] |
3704 | Moderate rationalists believe in fallible a priori justification [Bonjour] |
3707 | Our rules of thought can only be judged by pure rational insight [Bonjour] |
3696 | A priori justification requires understanding but no experience [Bonjour] |
3703 | You can't explain away a priori justification as analyticity, and you can't totally give it up [Bonjour] |
3706 | A priori justification can vary in degree [Bonjour] |
3699 | The induction problem blocks any attempted proof of physical statements [Bonjour] |
3701 | Externalist theories of justification don't require believers to have reasons for their beliefs [Bonjour] |
3702 | Externalism means we have no reason to believe, which is strong scepticism [Bonjour] |
3709 | Induction must go beyond the evidence, in order to explain why the evidence occurred [Bonjour] |
3708 | All thought represents either properties or indexicals [Bonjour] |
12338 | We must either assert or deny any single predicate of any single subject [Badiou] |
3698 | Indeterminacy of translation is actually indeterminacy of meaning and belief [Bonjour] |
7861 | Libet says the processes initiated in the cortex can still be consciously changed [Libet, by Papineau] |
6660 | Libet found conscious choice 0.2 secs before movement, well after unconscious 'readiness potential' [Libet, by Lowe] |
12316 | For Enlightenment philosophers, God was no longer involved in politics [Badiou] |
12317 | The God of religion results from an encounter, not from a proof [Badiou] |