8 ideas
15946 | Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine] |
19043 | Bivalence applies not just to sentences, but that general terms are true or false of each object [Quine] |
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] |
15911 | Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine] |
13415 | An adequate account of a number must relate it to its series [Benacerraf] |
19042 | Terms learned by ostension tend to be vague, because that must be quick and unrefined [Quine] |