79 ideas
3593 | The only way to specify the corresponding fact is asserting the sentence [Williams,M] |
3585 | Coherence needs positive links, not just absence of conflict [Williams,M] |
3584 | Justification needs coherence, while truth might be ideal coherence [Williams,M] |
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] |
3599 | Deduction shows entailments, not what to believe [Williams,M] |
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] |
3591 | We could never pin down how many beliefs we have [Williams,M] |
3582 | Propositions make error possible, so basic experiential knowledge is impossible [Williams,M] |
3592 | Phenomenalism is a form of idealism [Williams,M] |
3579 | Sense data avoid the danger of misrepresenting the world [Williams,M] |
3581 | Sense data can't give us knowledge if they are non-propositional [Williams,M] |
10040 | Russell showed, through the paradoxes, that our basic logical intuitions are self-contradictory [Russell/Whitehead, by Gödel] |
3564 | Is it people who are justified, or propositions? [Williams,M] |
8851 | Coherentists say that regress problems are assuming 'linear' justification [Williams,M] |
3595 | What works always takes precedence over theories [Williams,M] |
8849 | Traditional foundationalism is radically internalist [Williams,M] |
3580 | Experience must be meaningful to act as foundations [Williams,M] |
8853 | Basic judgements are immune from error because they have no content [Williams,M] |
3578 | Are empirical foundations judgements or experiences? [Williams,M] |
8855 | Sensory experience may be fixed, but it can still be misdescribed [Williams,M] |
3576 | Foundationalists are torn between adequacy and security [Williams,M] |
3577 | Strong justification eliminates error, but also reduces our true beliefs [Williams,M] |
3589 | Why should diverse parts of our knowledge be connected? [Williams,M] |
3590 | Coherence theory must give a foundational status to coherence itself [Williams,M] |
3571 | Externalism does not require knowing that you know [Williams,M] |
3574 | Externalism ignores the social aspect of knowledge [Williams,M] |
3569 | In the causal theory of knowledge the facts must cause the belief [Williams,M] |
3567 | How could there be causal relations to mathematical facts? [Williams,M] |
3586 | Only a belief can justify a belief [Williams,M] |
3573 | Externalist reliability refers to a range of conventional conditions [Williams,M] |
3565 | Sometimes I ought to distrust sources which are actually reliable [Williams,M] |
3566 | We control our beliefs by virtue of how we enquire [Williams,M] |
8852 | In the context of scepticism, externalism does not seem to be an option [Williams,M] |
3594 | Scepticism just reveals our limited ability to explain things [Williams,M] |
3575 | Scepticism can involve discrepancy, relativity, infinity, assumption and circularity [Williams,M] |
3587 | Seeing electrons in a cloud chamber requires theory [Williams,M] |
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] |
3588 | Foundationalists base meaning in words, coherentists base it in sentences [Williams,M] |
23453 | Propositions as objects of judgement don't exist, because we judge several objects, not one [Russell/Whitehead] |
23110 | Human injustice is not a permanent feature of communities [Rawls] |
15676 | Rawls defends the priority of right over good [Rawls, by Finlayson] |
4123 | A fair arrangement is one that parties can agree to without knowing how it will benefit them personally [Rawls, by Williams,B] |
21051 | Check your rationality by thinking of your opinion pronounced by the supreme court [Rawls] |
3279 | Utilitarianism inappropriately scales up the individual willingness to make sacrifices [Rawls, by Nagel] |
22406 | The maximisation of happiness must be done fairly [Rawls, by Smart] |
21137 | Rawls rejected cosmopolitanism because it doesn't respect the autonomy of 'peoples' [Rawls, by Shorten] |
3280 | Why does the rational agreement of the 'Original Position' in Rawls make it right? [Nagel on Rawls] |
20552 | The original position models the idea that citizens start as free and equal [Rawls, by Swift] |
18636 | Choose justice principles in ignorance of your own social situation [Rawls] |
18631 | All desirable social features should be equal, unless inequality favours the disadvantaged [Rawls] |
21119 | Power is only legitimate if it is reasonable for free equal citizens to endorse the constitution [Rawls] |
20538 | Utilitarians lump persons together; Rawls somewhat separates them; Nozick wholly separates them [Swift on Rawls] |
9277 | Rawls's account of justice relies on conventional fairness, avoiding all moral controversy [Gray on Rawls] |
23420 | In a pluralist society we can't expect a community united around one conception of the good [Rawls] |
20527 | Liberty Principle: everyone has an equal right to liberties, if compatible with others' liberties [Rawls] |
21018 | The social contract has problems with future generations, national boundaries, disabilities and animals [Rawls, by Nussbaum] |
21041 | Justice concerns not natural distributions, or our born location, but what we do about them [Rawls] |
23583 | If an aggression is unjust, the constraints on how it is fought are much stricter [Rawls] |