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15941 | For intuitionists excluded middle is an outdated historical convention [Brouwer] |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] |
19480 | Process philosophy places the dynamic nature of being at the centre of our theories [Seibt] |
19479 | Reductionists identify processes by their 'owner', but tornadoes etc. are processes without owners [Seibt] |
19481 | Traditionally small things add up to processes, but quantum mechanics reverses this [Seibt] |
15148 | Powers give explanations, without being necessary for some class membership [Chakravartty] |
15145 | A kind essence is the necessary and sufficient properties for membership of a class [Chakravartty] |
15147 | Cluster kinds are explained simply by sharing some properties, not by an 'essence' [Chakravartty] |
15144 | Explanation of causal phenomena concerns essential kinds - but also lack of them [Chakravartty] |
10117 | Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman] |
15146 | Some kinds, such as electrons, have essences, but 'cluster kinds' do not [Chakravartty] |
15151 | Many causal laws do not refer to kinds, but only to properties [Chakravartty] |