25 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] |
18170 | The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine] |
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] |
9561 | The mathematics of relations is entirely covered by ordered pairs [Chihara] |
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] |
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] |
17488 | Empiricist theories are sets of laws, which give explanations and reductions [Glennan] |
17493 | Modern mechanism need parts with spatial, temporal and function facts, and diagrams [Glennan] |
17487 | Mechanistic philosophy of science is an alternative to the empiricist law-based tradition [Glennan] |
17489 | Mechanisms are either systems of parts or sequences of activities [Glennan] |
17490 | 17th century mechanists explained everything by the kinetic physical fundamentals [Glennan] |
17491 | Unlike the lawlike approach, mechanistic explanation can allow for exceptions [Glennan] |
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] |
17494 | Since causal events are related by mechanisms, causation can be analysed in that way [Glennan] |
9574 | 'Gunk' is an individual possessing no parts that are atoms [Chihara] |