44 ideas
13736 | Quinean metaphysics just lists the beings, which is a domain with no internal structure [Schaffer,J on Quine] |
18781 | Inconsistency doesn't prevent us reasoning about some system [Mares] |
18789 | Intuitionist logic looks best as natural deduction [Mares] |
18790 | Intuitionism as natural deduction has no rule for negation [Mares] |
18787 | Three-valued logic is useful for a theory of presupposition [Mares] |
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] |
18793 | Material implication (and classical logic) considers nothing but truth values for implications [Mares] |
18784 | In classical logic the connectives can be related elegantly, as in De Morgan's laws [Mares] |
18786 | Excluded middle standardly implies bivalence; attacks use non-contradiction, De M 3, or double negation [Mares] |
18780 | Standard disjunction and negation force us to accept the principle of bivalence [Mares] |
18782 | The connectives are studied either through model theory or through proof theory [Mares] |
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)] |
18783 | Many-valued logics lack a natural deduction system [Mares] |
18792 | Situation semantics for logics: not possible worlds, but information in situations [Mares] |
18785 | Consistency is semantic, but non-contradiction is syntactic [Mares] |
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] |
18788 | For intuitionists there are not numbers and sets, but processes of counting and collecting [Mares] |
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] |
15782 | Quine wants identity and individuation-conditions for possibilia [Quine, by Lycan] |
2796 | For Quine the only way to know a necessity is empirically [Quine, by Dancy,J] |
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] |
4712 | Quine says there is no matter of fact about reference - it is 'inscrutable' [Quine, by O'Grady] |
18791 | In 'situation semantics' our main concepts are abstracted from situations [Mares] |
7330 | The principle of charity only applies to the logical constants [Quine, by Miller,A] |
16764 | The soul conserves the body, as we see by its dissolution when the soul leaves [Toletus] |
17862 | Essence gives an illusion of understanding [Quine, by Almog] |