11 ideas
9944 | We understand some statements about all sets [Putnam] |
12430 | Classical logic is our preconditions for assessing empirical evidence [Kitcher] |
12431 | I believe classical logic because I was taught it and use it, but it could be undermined [Kitcher] |
9937 | I do not believe mathematics either has or needs 'foundations' [Putnam] |
9939 | It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam] |
9940 | Maybe mathematics is empirical in that we could try to change it [Putnam] |
9941 | Science requires more than consistency of mathematics [Putnam] |
9943 | You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam] |
490 | Everything happens by reason and necessity [Leucippus] |
12428 | Many necessities are inexpressible, and unknowable a priori [Kitcher] |
12429 | Knowing our own existence is a priori, but not necessary [Kitcher] |