28 ideas
5988 | Anaximander produced the first philosophy book (and maybe the first book) [Anaximander, by Bodnár] |
1496 | The earth is stationary, because it is in the centre, and has no more reason to move one way than another [Anaximander, by Aristotle] |
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15941 | For intuitionists excluded middle is an outdated historical convention [Brouwer] |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] |
14874 | Anaximander saw the contradiction in the world - that its own qualities destroy it [Anaximander, by Nietzsche] |
7508 | Good reductionism connects fields of knowledge, but doesn't replace one with another [Pinker] |
7510 | Connectionists say the mind is a general purpose learning device [Pinker] |
7513 | Is memory stored in protein sequences, neurons, synapses, or synapse-strengths? [Pinker] |
7509 | Roundworms live successfully with 302 neurons, so human freedom comes from our trillions [Pinker] |
7511 | Neural networks can generalise their training, e.g. truths about tigers apply mostly to lions [Pinker] |
7512 | There are five types of reasoning that seem beyond connectionist systems [Pinker, by PG] |
10117 | Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman] |
7505 | Many think that accepting human nature is to accept innumerable evils [Pinker] |
405 | The essential nature, whatever it is, of the non-limited is everlasting and ageless [Anaximander] |
13222 | The Boundless cannot exist on its own, and must have something contrary to it [Aristotle on Anaximander] |
404 | Things begin and end in the Unlimited, and are balanced over time according to justice [Anaximander] |
1495 | Anaximander introduced the idea that the first principle and element of things was the Boundless [Anaximander, by Simplicius] |
1746 | The parts of all things are susceptible to change, but the whole is unchangeable [Anaximander, by Diog. Laertius] |
7516 | In 1828, the stuff of life was shown to be ordinary chemistry, not a magic gel [Pinker] |
7515 | All the evidence says evolution is cruel and wasteful, not intelligent [Pinker] |
7514 | Intelligent Design says that every unexplained phenomenon must be design, by default [Pinker] |