19 ideas
20955 | Art can make reason more all-inclusive, by articulating what seemed inexpressible [Bowie] |
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15941 | For intuitionists excluded middle is an outdated historical convention [Brouwer] |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] |
22049 | Transcendental idealism aims to explain objectivity through subjectivity [Bowie] |
20950 | German Idealism says our thinking and nature have the same rational structure [Bowie] |
22055 | The Idealists saw the same unexplained spontaneity in Kant's judgements and choices [Bowie] |
22054 | German Idealism tried to stop oppositions of appearances/things and receptivity/spontaneity [Bowie] |
22056 | Crucial to Idealism is the idea of continuity between receptivity and spontaneous judgement [Bowie] |
20653 | Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson] |
20942 | Nazis think race predetermines the self [Bowie] |
10117 | Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman] |
20946 | Rhetoric is built into language, so it cannot be stripped from philosophy [Bowie] |