24 ideas
1597 | Thales was the first western thinker to believe the arché was intelligible [Roochnik on Thales] |
13886 | Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C] |
11178 | The essence or definition of an essence involves either a class of properties or a class of propositions [Fine,K] |
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] |
11175 | Logical concepts rest on certain inferences, not on facts about implications [Fine,K] |
11176 | The property of Property Abstraction says any suitable condition must imply a property [Fine,K] |
11174 | A logical truth is true in virtue of the nature of the logical concepts [Fine,K] |
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] |
11177 | Can the essence of an object circularly involve itself, or involve another object? [Fine,K] |
11173 | Being a man is a consequence of his essence, not constitutive of it [Fine,K] |
11179 | If there are alternative definitions, then we have three possibilities for essence [Fine,K] |
3013 | Nothing is stronger than necessity, which rules everything [Thales, by Diog. Laertius] |
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] |
1494 | Thales said water is the first principle, perhaps from observing that food is moist [Thales, by Aristotle] |
1713 | Thales must have thought soul causes movement, since he thought magnets have soul [Thales, by Aristotle] |
1742 | Thales said the gods know our wrong thoughts as well as our evil actions [Thales, by Diog. Laertius] |