19 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15941 | For intuitionists excluded middle is an outdated historical convention [Brouwer] |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] |
14596 | Call 'nominalism' the denial of numbers, properties, relations and sets [Dorr] |
14597 | Natural Class Nominalism says there are primitive classes of things resembling in one respect [Dorr] |
14598 | Abstracta imply non-logical brute necessities, so only nominalists can deny such things [Dorr] |
8329 | Either causal relations are given in experience, or they are unobserved and theoretical [Sosa/Tooley] |
10117 | Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman] |
8324 | The problem is to explain how causal laws and relations connect, and how they link to the world [Sosa/Tooley] |
8328 | Causation isn't energy transfer, because an electron is caused by previous temporal parts [Sosa/Tooley] |
8327 | If direction of causation is just direction of energy transfer, that seems to involve causation [Sosa/Tooley] |
8330 | Are causes sufficient for the event, or necessary, or both? [Sosa/Tooley] |
8325 | The dominant view is that causal laws are prior; a minority say causes can be explained singly [Sosa/Tooley] |