7 ideas
17813 | Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP] |
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] |
17812 | Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP] |
13415 | An adequate account of a number must relate it to its series [Benacerraf] |
7628 | Broad rejects the inferential component of the representative theory [Broad, by Maund] |