17 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] |
18946 | Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer] |
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] |
16730 | If matter is entirely atoms, anything else we notice in it can only be modes [Gassendi] |
9891 | The first demand of logic is of a sharp boundary [Frege] |
16619 | We observe qualities, and use 'induction' to refer to the substances lying under them [Gassendi] |
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] |
16593 | Atoms are not points, but hard indivisible things, which no force in nature can divide [Gassendi] |
16729 | How do mere atoms produce qualities like colour, flavour and odour? [Gassendi] |