50 ideas
21021 | Keep premises as weak as possible, to avoid controversial difficulties [Nussbaum] |
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] |
10040 | Russell showed, through the paradoxes, that our basic logical intuitions are self-contradictory [Russell/Whitehead, by Gödel] |
20921 | How can we state relativism of sweet and sour, if they have no determinate nature? [Theophrastus] |
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] |
23453 | Propositions as objects of judgement don't exist, because we judge several objects, not one [Russell/Whitehead] |
21007 | Storytelling is never neutral; some features of the world must be emphasised [Nussbaum] |
22688 | The Aristotelian idea that choices can be perceived needs literary texts to expound it [Nussbaum] |
21836 | Philosophers after Aristotle endorsed the medical analogy for eudaimonia [Nussbaum, by Flanagan] |
21025 | Particularism gives no guidance for the future [Nussbaum] |
21026 | Compassion is unreliable, because it favours people close to us [Nussbaum] |
21019 | Social contracts assume equal powers among the participants [Nussbaum] |
21011 | We shouldn't focus on actual preferences, which may be distorted by injustices [Nussbaum] |
21008 | Liberalism does not need a comprehensive account of value [Nussbaum] |
21125 | Liberals must respect family freedom - but families are the great oppressors of women [Nussbaum] |
21012 | Women are often treated like children, and not respected for their choices [Nussbaum] |
21015 | Negative liberty is incoherent; all liberties, to do and to be, require the prevention of interference [Nussbaum] |
21017 | Political freedom is an incoherent project, because some freedoms limit other freedoms [Nussbaum] |
21016 | Political and civil rights are not separate from economic and social rights [Nussbaum] |
21009 | Capabilities: Life, Health, Safety, Mental life, Love, Planning, Joining in, Nature, Play, Control [Nussbaum, by PG] |
21010 | Justice requires that the ten main capabilities of people are reasonably enabled [Nussbaum] |
21013 | Capabilities are grounded in bare humanity and agency; qualifying as rational is not needed [Nussbaum] |
21014 | Rights are not just barriers against state interference; governments must affirm capabilities of citizens [Nussbaum] |
21020 | Any establishment belief system is incompatible with full respect for all citizens [Nussbaum] |
21023 | We should respect animals in the way that we respect the animal nature in humans [Nussbaum] |
21024 | It may be no harm to kill an animal which cannot plan for its future [Nussbaum] |
21022 | The Capabilities Approach sees animals as agents, not just as having feelings [Nussbaum] |
5990 | Theophrastus doubted whether nature could be explained teleologically [Theophrastus, by Gottschalk] |