6 ideas
13412 | Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf] |
13413 | We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf] |
13411 | If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf] |
10190 | From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki] |
13415 | An adequate account of a number must relate it to its series [Benacerraf] |
6649 | Chomsky now says concepts are basically innate, as well as syntax [Chomsky, by Lowe] |