12 ideas
6396 | A sentence is held true because of a combination of meaning and belief [Davidson] |
9616 | A set is a collection into a whole of distinct objects of our intuition or thought [Cantor] |
18119 | Mathematics is a mental activity which does not use language [Brouwer, by Bostock] |
18118 | Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock] |
15896 | Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine] |
11145 | Having a belief involves the possibility of being mistaken [Davidson] |
6397 | The concept of belief can only derive from relationship to a speech community [Davidson] |
6392 | Thought depends on speech [Davidson] |
6393 | A creature doesn't think unless it interprets another's speech [Davidson] |
11144 | Concepts are only possible in a language community [Davidson] |
6395 | An understood sentence can be used for almost anything; it isn't language if it has only one use [Davidson] |
6394 | The pattern of sentences held true gives sentences their meaning [Davidson] |