45 ideas
12249 | 'Animal' is a genus and 'rational' is a specific difference [Oderberg] |
12242 | Definition distinguishes one kind from another, and individuation picks out members of the kind [Oderberg] |
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] |
9552 | Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara] |
12238 | The Aristotelian view is that numbers depend on (and are abstracted from) other things [Oderberg] |
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] |
12254 | Being is substantial/accidental, complete/incomplete, necessary/contingent, possible, relative, intrinsic.. [Oderberg] |
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] |
12253 | If tropes are in space and time, in what sense are they abstract? [Oderberg] |
12256 | We need to distinguish the essential from the non-essential powers [Oderberg] |
12252 | Empiricists gave up 'substance', as unknowable substratum, or reducible to a bundle [Oderberg] |
12241 | Essences are real, about being, knowable, definable and classifiable [Oderberg, by PG] |
12244 | Nominalism is consistent with individual but not with universal essences [Oderberg] |
12240 | Essentialism is the main account of the unity of objects [Oderberg] |
12247 | Essence is not explanatory but constitutive [Oderberg] |
12258 | Properties are not part of an essence, but they flow from it [Oderberg] |
12257 | Could we replace essence with collections of powers? [Oderberg] |
12236 | Leibniz's Law is an essentialist truth [Oderberg] |
12250 | Bodies have act and potency, the latter explaining new kinds of existence [Oderberg] |
12234 | Realism about possible worlds is circular, since it needs a criterion of 'possible' [Oderberg] |
12235 | Necessity of identity seems trivial, because it leaves out the real essence [Oderberg] |
12237 | Rigid designation has at least three essentialist presuppositions [Oderberg] |
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] |
12245 | Essence is the source of a thing's characteristic behaviour [Oderberg] |
12246 | What makes Parmenidean reality a One rather than a Many? [Oderberg] |
12239 | The real essentialist is not merely a scientist [Oderberg] |
12243 | The reductionism found in scientific essentialism is mistaken [Oderberg] |
9574 | 'Gunk' is an individual possessing no parts that are atoms [Chihara] |
1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |