24 ideas
22026 | Philosophy is homesickness - the urge to be at home everywhere [Novalis] |
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] |
9572 | Realists about sets say there exists a null set in the real world, with no members [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] |
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] |
11993 | Jones may cease to exist without some simple property, but that doesn't make it essential [Kung] |
11997 | A property may belong essentially to one thing and contingently to another [Kung] |
11992 | Aristotelian essences underlie a thing's existence, explain it, and must belong to it [Kung] |
11995 | Some peripheral properties are explained by essential ones, but don't themselves explain properties [Kung] |
11996 | Some non-essential properties may explain more than essential-but-peripheral ones do [Kung] |
19591 | Desire for perfection is an illness, if it turns against what is imperfect [Novalis] |
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] |
9574 | 'Gunk' is an individual possessing no parts that are atoms [Chihara] |