26 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] |
12442 | 'Mickey Mouse is a fictional mouse' is true without a truthmaker [Azzouni] |
12439 | Truth is dispensable, by replacing truth claims with the sentence itself [Azzouni] |
12437 | Truth lets us assent to sentences we can't explicitly exhibit [Azzouni] |
12446 | Names function the same way, even if there is no object [Azzouni] |
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] |
12447 | That all existents have causal powers is unknowable; the claim is simply an epistemic one [Azzouni] |
12445 | If fictional objects really don't exist, then they aren't abstract objects [Azzouni] |
12449 | Modern metaphysics often derives ontology from the logical forms of sentences [Azzouni] |
12440 | If objectual quantifiers ontologically commit, so does the metalanguage for its semantics [Azzouni] |
12438 | In the vernacular there is no unequivocal ontological commitment [Azzouni] |
12441 | We only get ontology from semantics if we have already smuggled it in [Azzouni] |
12448 | Things that don't exist don't have any properties [Azzouni] |
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] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
12450 | The periodic table not only defines the elements, but also excludes other possible elements [Azzouni] |