4 ideas
18119 | Mathematics is a mental activity which does not use language [Brouwer, by Bostock] |
Full Idea: Brouwer made the rather extraordinary claim that mathematics is a mental activity which uses no language. | |
From: report of Luitzen E.J. Brouwer (Mathematics, Science and Language [1928]) by David Bostock - Philosophy of Mathematics 7.1 | |
A reaction: Since I take language to have far less of a role in thought than is commonly believed, I don't think this idea is absurd. I would say that we don't use language much when we are talking! |
18118 | Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock] |
Full Idea: Brouwer regards as somehow 'wicked' the idea that mathematics can be applied to a non-mental subject matter, the physical world, and that it might develop in response to the needs which that application reveals. | |
From: report of Luitzen E.J. Brouwer (Mathematics, Science and Language [1928]) by David Bostock - Philosophy of Mathematics 7.1 | |
A reaction: The idea is that mathematics only concerns creations of the human mind. It presumably has no more application than, say, noughts-and-crosses. |
1556 | By nature people are close to one another, but culture drives them apart [Hippias] |
Full Idea: I regard you all as relatives - by nature, not by convention. By nature like is akin to like, but convention is a tyrant over humankind and often constrains people to act contrary to nature. | |
From: Hippias (fragments/reports [c.430 BCE]), quoted by Plato - Protagoras 337c8 |
7489 | Joshua said, Sun, stand thou still [Anon (Josh)] |
Full Idea: Then Joshua spake to the Lord, and he said in the sight of Israel, Sun, stand thou still upon Gibeon; and the Sun stood still. | |
From: Anon (Josh) (06: Book of Joshua [c.540 BCE], 10.12) | |
A reaction: This verse became highly significant during the controversies from Copernicus to Galileo about the heliocentric universe. |