18 ideas
23449 | Interpreting a text is representing it as making sense [Morris,M] |
12452 | Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer] |
23484 | Bipolarity adds to Bivalence the capacity for both truth values [Morris,M] |
15941 | For intuitionists excluded middle is an outdated historical convention [Brouwer] |
23494 | Conjunctive and disjunctive quantifiers are too specific, and are confined to the finite [Morris,M] |
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] |
23452 | Discriminating things for counting implies concepts of identity and distinctness [Morris,M] |
23451 | Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M] |
23460 | To count, we must distinguish things, and have a series with successors in it [Morris,M] |
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] |
14367 | An explanation is a causal graph [Woodward,J, by Strevens] |
10117 | Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman] |
23491 | There must exist a general form of propositions, which are predictabe. It is: such and such is the case [Morris,M] |