46 ideas
| 18335 | There are five problems which the truth-maker theory might solve [Rami] |
| 18334 | The truth-maker idea is usually justified by its explanatory power, or intuitive appeal [Rami] |
| 18339 | The truth-making relation can be one-to-one, or many-to-many [Rami] |
| 18333 | Central idea: truths need truthmakers; and possibly all truths have them, and makers entail truths [Rami] |
| 18342 | Most theorists say that truth-makers necessitate their truths [Rami] |
| 18340 | It seems best to assume different kinds of truth-maker, such as objects, facts, tropes, or events [Rami] |
| 18341 | Truth-makers seem to be states of affairs (plus optional individuals), or individuals and properties [Rami] |
| 18346 | 'Truth supervenes on being' only gives necessary (not sufficient) conditions for contingent truths [Rami] |
| 18345 | 'Truth supervenes on being' avoids entities as truth-makers for negative truths [Rami] |
| 18343 | Maybe a truth-maker also works for the entailments of the given truth [Rami] |
| 18338 | Truth-making is usually internalist, but the correspondence theory is externalist [Rami] |
| 18337 | Correspondence theories assume that truth is a representation relation [Rami] |
| 18347 | Deflationist truth is an infinitely disjunctive property [Rami] |
| 18350 | Truth-maker theorists should probably reject the converse Barcan formula [Rami] |
| 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] |
| 17744 | De Morgan started the study of relations and their properties [De Morgan, by Walicki] |
| 13501 | De Morgan found inferences involving relations, which eluded Aristotle's syllogistic [De Morgan, by Hart,WD] |
| 9561 | The mathematics of relations is entirely covered by ordered pairs [Chihara] |
| 17743 | De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki] |
| 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] |
| 18336 | Internal relations depend either on the existence of the relata, or on their properties [Rami] |
| 10938 | The extremes of essentialism are that all properties are essential, or only very trivial ones [Rami] |
| 10940 | An 'individual essence' is possessed uniquely by a particular object [Rami] |
| 10939 | 'Sortal essentialism' says being a particular kind is what is essential [Rami] |
| 10934 | Unlosable properties are not the same as essential properties [Rami] |
| 10933 | Physical possibility is part of metaphysical possibility which is part of logical possibility [Rami] |
| 10932 | If it is possible 'for all I know' then it is 'epistemically possible' [Rami] |
| 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] |