58 ideas
13736 | Quinean metaphysics just lists the beings, which is a domain with no internal structure [Schaffer,J on Quine] |
4187 | 'There is nothing without a reason why it should be rather than not be' (a generalisation of 'Why?') [Schopenhauer] |
13252 | Some truths have true negations [Beall/Restall] |
13247 | A truthmaker is an object which entails a sentence [Beall/Restall] |
13249 | (∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically [Beall/Restall] |
13243 | Excluded middle must be true for some situation, not for all situations [Beall/Restall] |
13245 | Relevant consequence says invalidity is the conclusion not being 'in' the premises [Beall/Restall] |
13246 | Relevant logic does not abandon classical logic [Beall/Restall] |
13254 | A doesn't imply A - that would be circular [Beall/Restall] |
13255 | Relevant logic may reject transitivity [Beall/Restall] |
13242 | It's 'relevantly' valid if all those situations make it true [Beall/Restall] |
13250 | Free logic terms aren't existential; classical is non-empty, with referring names [Beall/Restall] |
3302 | Set theory is full of Platonist metaphysics, so Quine aimed to keep it separate from logic [Quine, by Benardete,JA] |
10211 | Quine wants V = L for a cleaner theory, despite the scepticism of most theorists [Quine, by Shapiro] |
3336 | Two things can never entail three things [Quine, by Benardete,JA] |
13235 | Logic studies consequence; logical truths are consequences of everything, or nothing [Beall/Restall] |
13238 | Syllogisms are only logic when they use variables, and not concrete terms [Beall/Restall] |
13234 | The view of logic as knowing a body of truths looks out-of-date [Beall/Restall] |
13232 | Logic studies arguments, not formal languages; this involves interpretations [Beall/Restall] |
13241 | The model theory of classical predicate logic is mathematics [Beall/Restall] |
13253 | There are several different consequence relations [Beall/Restall] |
13240 | A sentence follows from others if they always model it [Beall/Restall] |
8453 | If we had to name objects to make existence claims, we couldn't discuss all the real numbers [Quine] |
10311 | No sense can be made of quantification into opaque contexts [Quine, by Hale] |
10538 | Finite quantification can be eliminated in favour of disjunction and conjunction [Quine, by Dummett] |
10793 | Quine thought substitutional quantification confused use and mention, but then saw its nominalist appeal [Quine, by Marcus (Barcan)] |
13236 | Logical truth is much more important if mathematics rests on it, as logicism claims [Beall/Restall] |
13237 | Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall] |
8466 | For Quine, intuitionist ontology is inadequate for classical mathematics [Quine, by Orenstein] |
8467 | Intuitionists only admit numbers properly constructed, but classical maths covers all reals in a 'limit' [Quine, by Orenstein] |
10667 | A logically perfect language could express all truths, so all truths must be logically expressible [Quine, by Hossack] |
16021 | Quine says we can expand predicates easily (ideology), but not names (ontology) [Quine, by Noonan] |
3325 | For Quine everything exists theoretically, as reference, predication and quantification [Quine, by Benardete,JA] |
8534 | Quine says the predicate of a true statement has no ontological implications [Quine, by Armstrong] |
10295 | Quine suggests that properties can be replaced with extensional entities like sets [Quine, by Shapiro] |
3322 | Quine says that if second-order logic is to quantify over properties, that can be done in first-order predicate logic [Quine, by Benardete,JA] |
6078 | Quine brought classes into semantics to get rid of properties [Quine, by McGinn] |
8479 | Don't analyse 'red is a colour' as involving properties. Say 'all red things are coloured things' [Quine, by Orenstein] |
3751 | Universals are acceptable if they are needed to make an accepted theory true [Quine, by Jacquette] |
7970 | Quine is committed to sets, but is more a Class Nominalist than a Platonist [Quine, by Macdonald,C] |
15783 | Definite descriptions can't unambiguously pick out an object which doesn't exist [Lycan on Quine] |
13244 | Relevant necessity is always true for some situation (not all situations) [Beall/Restall] |
15782 | Quine wants identity and individuation-conditions for possibilia [Quine, by Lycan] |
4192 | All necessity arises from causation, which is conditioned; there is no absolute or unconditioned necessity [Schopenhauer] |
2796 | For Quine the only way to know a necessity is empirically [Quine, by Dancy,J] |
4190 | All understanding is an immediate apprehension of the causal relation [Schopenhauer] |
8450 | Quine's empiricism is based on whole theoretical systems, not on single mental events [Quine, by Orenstein] |
3868 | To proclaim cultural relativism is to thereby rise above it [Quine, by Newton-Smith] |
4713 | For Quine, theories are instruments used to make predictions about observations [Quine, by O'Grady] |
4191 | What we know in ourselves is not a knower but a will [Schopenhauer] |
21368 | The knot of the world is the use of 'I' to refer to both willing and knowing [Schopenhauer] |
13239 | Judgement is always predicating a property of a subject [Beall/Restall] |
4712 | Quine says there is no matter of fact about reference - it is 'inscrutable' [Quine, by O'Grady] |
13248 | We can rest truth-conditions on situations, rather than on possible worlds [Beall/Restall] |
13233 | Propositions commit to content, and not to any way of spelling it out [Beall/Restall] |
7330 | The principle of charity only applies to the logical constants [Quine, by Miller,A] |
17862 | Essence gives an illusion of understanding [Quine, by Almog] |
4189 | Time may be defined as the possibility of mutually exclusive conditions of the same thing [Schopenhauer] |