18 ideas
17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
23548 | Indeterminacy is in conflict with classical logic [Fine,K] |
17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
23539 | Classical semantics has referents for names, extensions for predicates, and T or F for sentences [Fine,K] |
17605 | Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy] |
17625 | If two mathematical themes coincide, that suggest a single deep truth [Maddy] |
17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
23540 | Conjoining two indefinites by related sentences seems to produce a contradiction [Fine,K] |
23546 | Standardly vagueness involves borderline cases, and a higher standpoint from which they can be seen [Fine,K] |
23544 | Local indeterminacy concerns a single object, and global indeterminacy covers a range [Fine,K] |
23542 | Identifying vagueness with ignorance is the common mistake of confusing symptoms with cause [Fine,K] |
23541 | Supervaluation can give no answer to 'who is the last bald man' [Fine,K] |
23545 | We do not have an intelligible concept of a borderline case [Fine,K] |
16079 | De re modal predicates are ambiguous [Lewis, by Rudder Baker] |
23547 | It seems absurd that there is no identity of any kind between two objects which involve survival [Fine,K] |
23543 | We identify laws with regularities because we mistakenly identify causes with their symptoms [Fine,K] |