22 ideas
9921 | 'True' is only occasionally useful, as in 'everything Fermat believed was true' [Burgess/Rosen] |
9924 | Modal logic gives an account of metalogical possibility, not metaphysical possibility [Burgess/Rosen] |
9933 | The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen] |
9928 | Mereology implies that acceptance of entities entails acceptance of conglomerates [Burgess/Rosen] |
9926 | A relation is either a set of sets of sets, or a set of sets [Burgess/Rosen] |
9932 | The paradoxes no longer seem crucial in critiques of set theory [Burgess/Rosen] |
9226 | If mathematical theories conflict, it may just be that they have different subject matter [Field,H] |
9923 | We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen] |
9925 | Structuralism and nominalism are normally rivals, but might work together [Burgess/Rosen] |
9934 | Number words became nouns around the time of Plato [Burgess/Rosen] |
9918 | Abstract/concrete is a distinction of kind, not degree [Burgess/Rosen] |
9929 | Much of what science says about concrete entities is 'abstraction-laden' [Burgess/Rosen] |
9927 | Mathematics has ascended to higher and higher levels of abstraction [Burgess/Rosen] |
9930 | Abstraction is on a scale, of sets, to attributes, to type-formulas, to token-formulas [Burgess/Rosen] |
9919 | The old debate classified representations as abstract, not entities [Burgess/Rosen] |
22384 | A 'double effect' is a foreseen but not desired side-effect, which may be forgivable [Foot] |
22385 | The doctrine of double effect can excuse an outcome because it wasn't directly intended [Foot] |
22386 | Double effect says foreseeing you will kill someone is not the same as intending it [Foot] |
22387 | Without double effect, bad men can make us do evil by threatening something worse [Foot] |
22388 | Double effect seems to rely on a distinction between what we do and what we allow [Foot] |
22383 | Abortion is puzzling because we do and don't want the unborn child to have rights [Foot] |
9922 | If space is really just a force-field, then it is a physical entity [Burgess/Rosen] |