23 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] |
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] |
22717 | Self-interest can fairly divide a cake; first person cuts, second person chooses [Poundstone] |
22718 | Formal game theory is about maximising or minimising numbers in tables [Poundstone] |
22719 | The minimax theorem says a perfect game of opposed people always has a rational solution [Poundstone] |
22720 | Two prisoners get the best result by being loyal, not by selfish betrayal [Poundstone] |
22721 | The tragedy in prisoner's dilemma is when two 'nice' players misread each other [Poundstone] |
22722 | TIT FOR TAT says cooperate at first, then do what the other player does [Poundstone] |
22723 | Do unto others as you would have them do unto you - or else! [Poundstone] |
9922 | If space is really just a force-field, then it is a physical entity [Burgess/Rosen] |
3029 | Stilpo said if Athena is a daughter of Zeus, then a statue is only the child of a sculptor, and so is not a god [Stilpo, by Diog. Laertius] |