21 ideas
9376 | A sentence may simultaneously define a term, and also assert a fact [Boghossian] |
9375 | Conventionalism agrees with realists that logic has truth values, but not over the source [Boghossian] |
17963 | The facts of geometry, arithmetic or statics order themselves into theories [Hilbert] |
17966 | Axioms must reveal their dependence (or not), and must be consistent [Hilbert] |
17967 | To decide some questions, we must study the essence of mathematical proof itself [Hilbert] |
17965 | The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert] |
17964 | Number theory just needs calculation laws and rules for integers [Hilbert] |
9369 | 'Snow is white or it isn't' is just true, not made true by stipulation [Boghossian] |
9367 | The a priori is explained as analytic to avoid a dubious faculty of intuition [Boghossian] |
9373 | That logic is a priori because it is analytic resulted from explaining the meaning of logical constants [Boghossian] |
9380 | We can't hold a sentence true without evidence if we can't agree which sentence is definitive of it [Boghossian] |
9384 | We may have strong a priori beliefs which we pragmatically drop from our best theory [Boghossian] |
9374 | If we learn geometry by intuition, how could this faculty have misled us for so long? [Boghossian] |
9377 | 'Conceptual role semantics' says terms have meaning from sentences and/or inferences [Boghossian] |
9378 | If meaning depends on conceptual role, what properties are needed to do the job? [Boghossian] |
9372 | Could expressions have meaning, without two expressions possibly meaning the same? [Boghossian] |
17721 | There are no truths in virtue of meaning, but there is knowability in virtue of understanding [Boghossian, by Jenkins] |
9368 | Epistemological analyticity: grasp of meaning is justification; metaphysical: truth depends on meaning [Boghossian] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |