25 ideas
23449 | Interpreting a text is representing it as making sense [Morris,M] |
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] |
9563 | A pack of wolves doesn't cease when one member dies [Chihara] |
23484 | Bipolarity adds to Bivalence the capacity for both truth values [Morris,M] |
9561 | The mathematics of relations is entirely covered by ordered pairs [Chihara] |
23494 | Conjunctive and disjunctive quantifiers are too specific, and are confined to the finite [Morris,M] |
9552 | Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara] |
23451 | Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M] |
23460 | To count, we must distinguish things, and have a series with successors in it [Morris,M] |
23452 | Discriminating things for counting implies concepts of identity and distinctness [Morris,M] |
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] |
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] |
9568 | I prefer the open sentences of a Constructibility Theory, to Platonist ideas of 'equivalence classes' [Chihara] |
9547 | Mathematical entities are causally inert, so the causal theory of reference won't work for them [Chihara] |
23491 | There must exist a general form of propositions, which are predictabe. It is: such and such is the case [Morris,M] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
9574 | 'Gunk' is an individual possessing no parts that are atoms [Chihara] |