22 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] |
12154 | Are 'word token' and 'word type' different sorts of countable objects, or two ways of counting? [Geach, by Perry] |
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] |
8969 | We should abandon absolute identity, confining it to within some category [Geach, by Hawthorne] |
9891 | The first demand of logic is of a sharp boundary [Frege] |
16075 | Denial of absolute identity has drastic implications for logic, semantics and set theory [Wasserman on Geach] |
12152 | Identity is relative. One must not say things are 'the same', but 'the same A as' [Geach] |
16073 | Leibniz's Law is incomplete, since it includes a non-relativized identity predicate [Geach, by Wasserman] |
14919 | Empiricists deny what is unobservable, and reject objective modality [Fraassen] |
6783 | To 'accept' a theory is not to believe it, but to believe it empirically adequate [Fraassen, by Bird] |
14917 | To accept a scientific theory, we only need to believe that it is empirically adequate [Fraassen] |
6784 | Why should the true explanation be one of the few we have actually thought of? [Fraassen, by Bird] |
13066 | An explanation is just descriptive information answering a particular question [Fraassen, by Salmon] |
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] |