16 ideas
| 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| 15941 | For intuitionists excluded middle is an outdated historical convention [Brouwer] |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] |
| 11993 | Jones may cease to exist without some simple property, but that doesn't make it essential [Kung] |
| 11997 | A property may belong essentially to one thing and contingently to another [Kung] |
| 11992 | Aristotelian essences underlie a thing's existence, explain it, and must belong to it [Kung] |
| 3016 | Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius] |
| 11995 | Some peripheral properties are explained by essential ones, but don't themselves explain properties [Kung] |
| 11996 | Some non-essential properties may explain more than essential-but-peripheral ones do [Kung] |
| 10117 | Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman] |