7 ideas
13418 | The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C] |
19043 | Bivalence applies not just to sentences, but that general terms are true or false of each object [Quine] |
8921 | Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman] |
8922 | Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman] |
13419 | If functions are transfinite objects, finitists can have no conception of them [Parsons,C] |
19042 | Terms learned by ostension tend to be vague, because that must be quick and unrefined [Quine] |
13417 | If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C] |