42 ideas
23367 | Even pointing a finger should only be done for a reason [Epictetus] |
13736 | Quinean metaphysics just lists the beings, which is a domain with no internal structure [Schaffer,J on Quine] |
8623 | Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege] |
13907 | If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon] |
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] |
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)] |
6297 | Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik] |
9603 | An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR] |
9894 | A unit is that according to which each existing thing is said to be one [Euclid] |
8738 | Postulate 2 says a line can be extended continuously [Euclid, by Shapiro] |
22278 | Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid] |
8673 | Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend] |
10250 | Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid] |
10302 | Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays] |
14157 | Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid] |
1600 | Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik] |
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] |
17862 | Essence gives an illusion of understanding [Quine, by Almog] |