14 ideas
14782 | Philosophy is an experimental science, resting on common experience [Peirce] |
19433 | The universe is infinitely varied, so the Buridan's Ass dilemma could never happen [Leibniz] |
14787 | Self-contradiction doesn't reveal impossibility; it is inductive impossibility which reveals self-contradiction [Peirce] |
14783 | Logic, unlike mathematics, is not hypothetical; it asserts categorical ends from hypothetical means [Peirce] |
8717 | Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend] |
14788 | Mathematics is close to logic, but is even more abstract [Peirce] |
10113 | The grounding of mathematics is 'in the beginning was the sign' [Hilbert] |
10115 | Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman] |
10116 | Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman] |
14786 | Some logical possibility concerns single propositions, but there is also compatibility between propositions [Peirce] |
19434 | There may be a world where dogs smell their game at a thousand leagues [Leibniz] |
14789 | Experience is indeed our only source of knowledge, provided we include inner experience [Peirce] |
14785 | The world is one of experience, but experiences are always located among our ideas [Peirce] |
14784 | Ethics is the science of aims [Peirce] |