18 ideas
13886 | Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C] |
19048 | Contextual definition shifted the emphasis from words to whole sentences [Quine] |
9845 | We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege] |
19047 | Bentham's contextual definitions preserved terms after their denotation became doubtful [Quine] |
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] |
19049 | In scientific theories sentences are too brief to be independent vehicles of empirical meaning [Quine] |
19046 | Empiricism improvements: words for ideas, then sentences, then systems, then no analytic, then naturalism [Quine] |
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] |
19050 | Holism in language blurs empirical synthetic and empty analytic sentences [Quine] |
5271 | Prejudice apart, push-pin has equal value with music and poetry [Bentham] |