12 ideas
12452 | Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer] |
12451 | Scientific laws largely rest on the results of counting and measuring [Brouwer] |
12454 | Intuitionists only accept denumerable sets [Brouwer] |
12453 | Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer] |
5062 | First: there must be reasons; Second: why anything at all?; Third: why this? [Leibniz] |
19377 | A monad and its body are living, so life is everywhere, and comes in infinite degrees [Leibniz] |
19353 | 'Perception' is basic internal representation, and 'apperception' is reflective knowledge of perception [Leibniz] |
7458 | The reliability of witnesses depends on whether they benefit from their observations [Laplace, by Hacking] |
5061 | Animals are semi-rational because they connect facts, but they don't see causes [Leibniz] |
3441 | If a supreme intellect knew all atoms and movements, it could know all of the past and the future [Laplace] |
10117 | Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman] |
5063 | Music charms, although its beauty is the harmony of numbers [Leibniz] |