44 ideas
20350 | Metaphysics generalises the data, to get at the ontology [Richardson] |
20349 | Metaphysics aims at the essence of things, and a system to show how this explains other truths [Richardson] |
20351 | Metaphysics needs systems, because analysis just obsesses over details [Richardson] |
12585 | Most people can't even define a chair [Peacocke] |
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] |
8683 | Russell and Whitehead were not realists, but embraced nearly all of maths in logic [Russell/Whitehead, by Friend] |
10025 | Russell and Whitehead took arithmetic to be higher-order logic [Russell/Whitehead, by Hodes] |
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] |
12581 | Perceptual concepts causally influence the content of our experiences [Peacocke] |
12579 | Perception has proto-propositions, between immediate experience and concepts [Peacocke] |
10040 | Russell showed, through the paradoxes, that our basic logical intuitions are self-contradictory [Russell/Whitehead, by Gödel] |
12586 | Consciousness of a belief isn't a belief that one has it [Peacocke] |
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] |
18568 | Philosophy should merely give necessary and sufficient conditions for concept possession [Peacocke, by Machery] |
18571 | Peacocke's account of possession of a concept depends on one view of counterfactuals [Peacocke, by Machery] |
18572 | Peacocke's account separates psychology from philosophy, and is very sketchy [Machery on Peacocke] |
12577 | Possessing a concept is being able to make judgements which use it [Peacocke] |
12578 | A concept is just what it is to possess that concept [Peacocke] |
12587 | Employing a concept isn't decided by introspection, but by making judgements using it [Peacocke] |
12584 | An analysis of concepts must link them to something unconceptualized [Peacocke] |
9335 | Concepts are constituted by their role in a group of propositions to which we are committed [Peacocke, by Greco] |
9336 | A concept's reference is what makes true the beliefs of its possession conditions [Peacocke, by Horwich] |
23453 | Propositions as objects of judgement don't exist, because we judge several objects, not one [Russell/Whitehead] |
20356 | Humans dominate because, unlike other animals, they have a synthesis of conflicting drives [Richardson] |
20366 | A mind that could see cause and effect as a continuum would deny cause and effect [Richardson] |