18 ideas
1597 | Thales was the first western thinker to believe the arché was intelligible [Roochnik on Thales] |
8000 | He who is ignorant of the history of philosophy is doomed to repeat it [Santayana, by MacIntyre] |
12452 | Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer] |
15941 | For intuitionists excluded middle is an outdated historical convention [Brouwer] |
18119 | Mathematics is a mental activity which does not use language [Brouwer, by Bostock] |
18247 | Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro] |
12451 | Scientific laws largely rest on the results of counting and measuring [Brouwer] |
18118 | Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock] |
12454 | Intuitionists only accept denumerable sets [Brouwer] |
12453 | Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer] |
8728 | Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer] |
18521 | The criterion of existence is the possibility of action [Santayana] |
3013 | Nothing is stronger than necessity, which rules everything [Thales, by Diog. Laertius] |
10117 | Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman] |
23060 | The good is not relative, but is rooted in facts about human needs [Santayana] |
1494 | Thales said water is the first principle, perhaps from observing that food is moist [Thales, by Aristotle] |
1713 | Thales must have thought soul causes movement, since he thought magnets have soul [Thales, by Aristotle] |
1742 | Thales said the gods know our wrong thoughts as well as our evil actions [Thales, by Diog. Laertius] |