20 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15941 | For intuitionists excluded middle is an outdated historical convention [Brouwer] |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] |
7876 | Even if we identify pain with neural events, we can't explain why those neurons cause that feeling [Levine, by Papineau] |
7877 | Only phenomenal states have an explanatory gap; water is fully explained by H2O [Levine, by Papineau] |
7878 | Materialism won't explain phenomenal properties, because the latter aren't seen in causal roles [Papineau on Levine] |
10117 | Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman] |
24162 | Planck introduced the idea that energy can be quantized [Baggott] |
21731 | Fields can be 'scalar', or 'vector', or 'tensor', or 'spinor' [Baggott] |
21730 | A 'field' is a property with a magnitude, distributed across all of space and time [Baggott] |
24163 | Free electrons have clouds of virtual particles, arising from field interaction [Baggott] |
24161 | Thermodynamics sees nature as a continuous flow of energy, as radiation and as substance [Baggott] |
21732 | The current standard model requires 61 particles [Baggott] |
24160 | Particle measurements don't seem to reflect their reality [Baggott] |