47 ideas
| 22334 | Analysis must include definitions, search for simples, concept analysis, and Kant's analysis [Glock] |
| 3870 | The real problem of science is how to choose between possible explanations [Newton-Smith] |
| 3859 | We do not wish merely to predict, we also want to explain [Newton-Smith] |
| 3853 | For science to be rational, we must explain scientific change rationally [Newton-Smith] |
| 3854 | Positivists hold that theoretical terms change, but observation terms don't [Newton-Smith] |
| 3855 | Critics attack positivist division between theory and observation [Newton-Smith] |
| 3869 | More truthful theories have greater predictive power [Newton-Smith] |
| 3861 | Theories generate infinite truths and falsehoods, so they cannot be used to assess probability [Newton-Smith] |
| 9542 | The best known axiomatization of PL is Whitehead/Russell, with four axioms and two rules [Russell/Whitehead, by Hughes/Cresswell] |
| 21720 | Russell saw Reducibility as legitimate for reducing classes to logic [Linsky,B on Russell/Whitehead] |
| 10044 | Russell denies extensional sets, because the null can't be a collection, and the singleton is just its element [Russell/Whitehead, by Shapiro] |
| 18208 | We regard classes as mere symbolic or linguistic conveniences [Russell/Whitehead] |
| 8204 | Lewis's 'strict implication' preserved Russell's confusion of 'if...then' with implication [Quine on Russell/Whitehead] |
| 9359 | Russell's implication means that random sentences imply one another [Lewis,CI on Russell/Whitehead] |
| 21707 | Russell unusually saw logic as 'interpreted' (though very general, and neutral) [Russell/Whitehead, by Linsky,B] |
| 10036 | In 'Principia' a new abstract theory of relations appeared, and was applied [Russell/Whitehead, by Gödel] |
| 18248 | A real number is the class of rationals less than the number [Russell/Whitehead, by Shapiro] |
| 18152 | Russell takes numbers to be classes, but then reduces the classes to numerical quantifiers [Russell/Whitehead, by Bostock] |
| 10025 | Russell and Whitehead took arithmetic to be higher-order logic [Russell/Whitehead, by Hodes] |
| 8683 | Russell and Whitehead were not realists, but embraced nearly all of maths in logic [Russell/Whitehead, by Friend] |
| 10037 | 'Principia' lacks a precise statement of the syntax [Gödel on Russell/Whitehead] |
| 10093 | The ramified theory of types used propositional functions, and covered bound variables [Russell/Whitehead, by George/Velleman] |
| 8691 | The Russell/Whitehead type theory was limited, and was not really logic [Friend on Russell/Whitehead] |
| 10305 | In 'Principia Mathematica', logic is exceeded in the axioms of infinity and reducibility, and in the domains [Bernays on Russell/Whitehead] |
| 8684 | Russell and Whitehead consider the paradoxes to indicate that we create mathematical reality [Russell/Whitehead, by Friend] |
| 8746 | To avoid vicious circularity Russell produced ramified type theory, but Ramsey simplified it [Russell/Whitehead, by Shapiro] |
| 12033 | An object is identical with itself, and no different indiscernible object can share that [Russell/Whitehead, by Adams,RM] |
| 3867 | De re necessity arises from the way the world is [Newton-Smith] |
| 3872 | We must assess the truth of beliefs in identifying them [Newton-Smith] |
| 22332 | German and British idealism is not about individual ideas, but the intelligibility of reality [Glock] |
| 10040 | Russell showed, through the paradoxes, that our basic logical intuitions are self-contradictory [Russell/Whitehead, by Gödel] |
| 3857 | Defeat relativism by emphasising truth and reference, not meaning [Newton-Smith] |
| 3858 | A full understanding of 'yellow' involves some theory [Newton-Smith] |
| 3862 | All theories contain anomalies, and so are falsified! [Newton-Smith] |
| 3863 | The anomaly of Uranus didn't destroy Newton's mechanics - it led to Neptune's discovery [Newton-Smith] |
| 3864 | Anomalies are judged against rival theories, and support for the current theory [Newton-Smith] |
| 3865 | Why should it matter whether or not a theory is scientific? [Newton-Smith] |
| 3866 | If theories are really incommensurable, we could believe them all [Newton-Smith] |
| 21725 | The multiple relations theory says assertions about propositions are about their ingredients [Russell/Whitehead, by Linsky,B] |
| 23474 | A judgement is a complex entity, of mind and various objects [Russell/Whitehead] |
| 23455 | The meaning of 'Socrates is human' is completed by a judgement [Russell/Whitehead] |
| 23480 | The multiple relation theory of judgement couldn't explain the unity of sentences [Morris,M on Russell/Whitehead] |
| 18275 | Only the act of judging completes the meaning of a statement [Russell/Whitehead] |
| 22336 | We might say that the family resemblance is just a consequence of meaning-as-use [Glock] |
| 22335 | The variety of uses of 'game' may be that it has several meanings, and isn't a single concept [Glock] |
| 23453 | Propositions as objects of judgement don't exist, because we judge several objects, not one [Russell/Whitehead] |
| 3871 | Explaining an action is showing that it is rational [Newton-Smith] |