9 ideas
10247 | We have no adequate logic at the moment, so mathematicians must create one [Veblen] |
13365 | Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell] |
10711 | Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell] |
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] |
13415 | An adequate account of a number must relate it to its series [Benacerraf] |
9127 | Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen] |
7531 | We don't assert private thoughts; the objects are part of what we assert [Russell] |