46 ideas
| 13736 | Quinean metaphysics just lists the beings, which is a domain with no internal structure [Schaffer,J on Quine] |
| 6222 | If a decision is in accord with right reason, everyone can agree with it [Cumberland] |
| 3302 | Set theory is full of Platonist metaphysics, so Quine aimed to keep it separate from logic [Quine, by Benardete,JA] |
| 13030 | Extensionality: ∀x ∀y (∀z (z ∈ x ↔ z ∈ y) → x = y) [Kunen] |
| 13032 | Pairing: ∀x ∀y ∃z (x ∈ z ∧ y ∈ z) [Kunen] |
| 13033 | Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen] |
| 13037 | Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen] |
| 13038 | Power Set: ∀x ∃y ∀z(z ⊂ x → z ∈ y) [Kunen] |
| 13034 | Replacement: ∀x∈A ∃!y φ(x,y) → ∃Y ∀X∈A ∃y∈Y φ(x,y) [Kunen] |
| 13039 | Foundation:∀x(∃y(y∈x) → ∃y(y∈x ∧ ¬∃z(z∈x ∧ z∈y))) [Kunen] |
| 13036 | Choice: ∀A ∃R (R well-orders A) [Kunen] |
| 13029 | Set Existence: ∃x (x = x) [Kunen] |
| 13031 | Comprehension: ∃y ∀x (x ∈ y ↔ x ∈ z ∧ φ) [Kunen] |
| 10211 | Quine wants V = L for a cleaner theory, despite the scepticism of most theorists [Quine, by Shapiro] |
| 13040 | Constructibility: V = L (all sets are constructible) [Kunen] |
| 3336 | Two things can never entail three things [Quine, by Benardete,JA] |
| 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)] |
| 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] |
| 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] |
| 7330 | The principle of charity only applies to the logical constants [Quine, by Miller,A] |
| 6217 | Natural law is supplied to the human mind by reality and human nature [Cumberland] |
| 6221 | If there are different ultimate goods, there will be conflicting good actions, which is impossible [Cumberland] |
| 6218 | The happiness of individuals is linked to the happiness of everyone (which is individuals taken together) [Cumberland] |
| 6220 | The happiness of all contains the happiness of each, and promotes it [Cumberland] |
| 6216 | Natural law is immutable truth giving moral truths and duties independent of society [Cumberland] |
| 17862 | Essence gives an illusion of understanding [Quine, by Almog] |