18 ideas
13886 | Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C] |
9845 | We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege] |
10019 | Only what is logically complex can be defined; what is simple must be pointed to [Frege] |
9886 | Cardinals say how many, and reals give measurements compared to a unit quantity [Frege] |
9889 | Real numbers are ratios of quantities [Frege, by Dummett] |
10553 | A number is a class of classes of the same cardinality [Frege, by Dummett] |
10020 | Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege] |
9887 | Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett] |
8751 | Only applicability raises arithmetic from a game to a science [Frege] |
9891 | The first demand of logic is of a sharp boundary [Frege] |
9890 | The modern account of real numbers detaches a ratio from its geometrical origins [Frege] |
11846 | If we abstract the difference between two houses, they don't become the same house [Frege] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
9261 | The 'Ethics' is disappointing, because it fails to try to justify our duties [Prichard] |
9262 | The mistake is to think we can prove what can only be seen directly in moral thinking [Prichard] |
9260 | Virtues won't generate an obligation, so it isn't a basis for morality [Prichard] |
9259 | We feel obligations to overcome our own failings, and these are not relations to other people [Prichard] |
9258 | If pain were instrinsically wrong, it would be immoral to inflict it on ourselves [Prichard] |