1998 | Briefings on Existence |
p.27 | 12318 | The female body, when taken in its entirety, is the Phallus itself |
1 | p.40 | 12320 | Ontology is (and always has been) Cantorian mathematics |
10 | p.119 | 12331 | Logic is definitional, but real mathematics is axiomatic |
1011b24 | p.107 | 12338 | We must either assert or deny any single predicate of any single subject |
11 | p.125 | 12332 | The modern view of Being comes when we reject numbers as merely successions of One |
11 | p.125 | 12333 | Each type of number has its own characteristic procedure of introduction |
11 | p.126 | 12334 | There is no single unified definition of number |
11 | p.126 | 12335 | Numbers are for measuring and for calculating (and the two must be consistent) |
11 | p.128 | 12337 | There is 'transivity' iff membership ∈ also means inclusion ⊆ |
11 | p.128 | 12336 | A von Neumann ordinal is a transitive set with transitive elements |
14 | p.158 | 12339 | Aristotle removes ontology from mathematics, and replaces the true with the beautiful |
14 | p.160 | 12340 | There is no Being as a whole, because there is no set of all sets |
14 | p.165 | 12341 | Logic is a mathematical account of a universe of relations |
14 | p.167 | 12342 | Topos theory explains the plurality of possible logics |
2 | p.52 | 12321 | The axiom of choice must accept an indeterminate, indefinable, unconstructible set |
2 | p.53 | 12322 | Must we accept numbers as existing when they no longer consist of units? |
2 | p.55 | 12323 | Existence is Being itself, but only as our thought decides it |
2 | p.56 | 12324 | Consensus is the enemy of thought |
3 | p.59 | 12325 | Philosophy has been relieved of physics, cosmology, politics, and now must give up ontology |
6 | p.98 | 12326 | The primitive name of Being is the empty set; in a sense, only the empty set 'is' |
6 | p.99 | 12327 | The undecidability of the Continuum Hypothesis may have ruined or fragmented set theory |
7 | p.103 | 12329 | If mathematics is a logic of the possible, then questions of existence are not intrinsic to it |
7 | p.103 | 12328 | Platonists like axioms and decisions, Aristotelians like definitions, possibilities and logic |
8 | p.110 | 12330 | In ontology, logic dominated language, until logic was mathematized |
Prol | p.22 | 12316 | For Enlightenment philosophers, God was no longer involved in politics |
Prol | p.26 | 12317 | The God of religion results from an encounter, not from a proof |
2004 | Mathematics and Philosophy: grand and little |
p.11 | p.11 | 9808 | Philosophy aims to reveal the grandeur of mathematics |
p.12 | p.12 | 9809 | Mathematics inscribes being as such |
p.16 | p.16 | 9811 | It is of the essence of being to appear |
p.17 | p.17 | 9812 | In mathematics, if a problem can be formulated, it will eventually be solved |
p.19 | p.19 | 9813 | Mathematics shows that thinking is not confined to the finite |
p.20 | p.20 | 9814 | All great poetry is engaged in rivalry with mathematics |