25 ideas
9327 | Organisms understand their worlds better if they understand themselves [Gulick] |
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15941 | For intuitionists excluded middle is an outdated historical convention [Brouwer] |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] |
9325 | In contrast with knowledge, the notion of understanding emphasizes practical engagement [Gulick] |
9326 | Knowing-that is a much richer kind of knowing-how [Gulick] |
17499 | Theoretical models can represent, by mapping onto the data-models [Portides] |
17498 | In the 'received view' models are formal; the 'semantic view' emphasises representation [Portides, by PG] |
17501 | Representational success in models depends on success of their explanations [Portides] |
17502 | The best model of the atomic nucleus is the one which explains the most results [Portides] |
17496 | 'Model' belongs in a family of concepts, with representation, idealisation and abstraction [Portides] |
17497 | Models are theory-driven, or phenomenological (more empirical and specific) [Portides] |
17500 | General theories may be too abstract to actually explain the mechanisms [Portides] |
9319 | Is consciousness a type of self-awareness, or is being self-aware a way of being conscious? [Gulick] |
9320 | Higher-order theories divide over whether the higher level involves thought or perception [Gulick] |
9321 | Higher-order models reduce the problem of consciousness to intentionality [Gulick] |
9322 | Maybe qualia only exist at the lower level, and a higher-level is needed for what-it-is-like [Gulick] |
10117 | Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman] |
9324 | From the teleopragmatic perspective, life is largely an informational process [Gulick] |