23 ideas
8138 | Beware lest any man spoil you through philosophy [Paul] |
23766 | Don't be tossed to and fro with every wind of doctrine, by cunning deceptive men [Paul] |
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] |
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] |
594 | Speusippus suggested underlying principles for every substance, and ended with a huge list [Speussipus, by Aristotle] |
5052 | When Gentiles follow the law, they must have the law written in their hearts [Paul] |
9919 | The old debate classified representations as abstract, not entities [Burgess/Rosen] |
7572 | Power is ordained by God, so anyone who resists power resists God, and will be damned [Paul] |
19945 | Jew and Greeks, bond and free, male and female, are all one in Christ [Paul] |
9922 | If space is really just a force-field, then it is a physical entity [Burgess/Rosen] |
20695 | God's eternal power and deity are clearly seen in what has been created [Paul] |
2632 | Speusippus said things were governed by some animal force rather than the gods [Speussipus, by Cicero] |