10 ideas
11074 | 'It is true that this follows' means simply: this follows [Wittgenstein] |
9944 | We understand some statements about all sets [Putnam] |
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] |
11073 | Two and one making three has the necessity of logical inference [Wittgenstein] |
9943 | You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam] |
3158 | Theories of intentionality presuppose rationality, so can't explain it [Dennett] |
3159 | Beliefs and desires aren't real; they are prediction techniques [Dennett] |