32 ideas
9572 | Realists about sets say there exists a null set in the real world, with no members [Chihara] |
9550 | We only know relational facts about the empty set, but nothing intrinsic [Chihara] |
9562 | In simple type theory there is a hierarchy of null sets [Chihara] |
9573 | The null set is a structural position which has no other position in membership relation [Chihara] |
9551 | What is special about Bill Clinton's unit set, in comparison with all the others? [Chihara] |
9549 | The set theorist cannot tell us what 'membership' is [Chihara] |
9571 | ZFU refers to the physical world, when it talks of 'urelements' [Chihara] |
18151 | Could we replace sets by the open sentences that define them? [Chihara, by Bostock] |
9563 | A pack of wolves doesn't cease when one member dies [Chihara] |
8758 | We could talk of open sentences, instead of sets [Chihara, by Shapiro] |
9561 | The mathematics of relations is entirely covered by ordered pairs [Chihara] |
7306 | If the only property of a name was its reference, we couldn't explain bearerless names [Miller,A] |
9552 | Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara] |
9553 | Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara] |
10192 | We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride] |
10265 | Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro] |
8759 | We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro] |
10264 | Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro] |
9559 | If a successful theory confirms mathematics, presumably a failed theory disconfirms it? [Chihara] |
9566 | No scientific explanation would collapse if mathematical objects were shown not to exist [Chihara] |
7322 | Constitutive scepticism is about facts, and epistemological scepticism about our ability to know them [Miller,A] |
7325 | Dispositions say what we will do, not what we ought to do, so can't explain normativity [Miller,A] |
9568 | I prefer the open sentences of a Constructibility Theory, to Platonist ideas of 'equivalence classes' [Chihara] |
7324 | Explain meaning by propositional attitudes, or vice versa, or together? [Miller,A] |
9547 | Mathematical entities are causally inert, so the causal theory of reference won't work for them [Chihara] |
7323 | If truth is deflationary, sentence truth-conditions just need good declarative syntax [Miller,A] |
7315 | 'Jones is a married bachelor' does not have the logical form of a contradiction [Miller,A] |
7328 | The principle of charity is holistic, saying we must hold most of someone's system of beliefs to be true [Miller,A] |
7329 | Maybe we should interpret speakers as intelligible, rather than speaking truth [Miller,A] |
7333 | The Frege-Geach problem is that I can discuss the wrongness of murder without disapproval [Miller,A] |
3031 | The greatest good is not the achievement of desire, but to desire what is proper [Menedemus, by Diog. Laertius] |
9574 | 'Gunk' is an individual possessing no parts that are atoms [Chihara] |