58 ideas
15413 | With four tense operators, all complex tenses reduce to fourteen basic cases [Burgess] |
15415 | The temporal Barcan formulas fix what exists, which seems absurd [Burgess] |
15430 | Is classical logic a part of intuitionist logic, or vice versa? [Burgess] |
15431 | It is still unsettled whether standard intuitionist logic is complete [Burgess] |
15429 | Relevance logic's → is perhaps expressible by 'if A, then B, for that reason' [Burgess] |
15404 | Technical people see logic as any formal system that can be studied, not a study of argument validity [Burgess] |
15405 | Classical logic neglects the non-mathematical, such as temporality or modality [Burgess] |
15427 | The Cut Rule expresses the classical idea that entailment is transitive [Burgess] |
15421 | Classical logic neglects counterfactuals, temporality and modality, because maths doesn't use them [Burgess] |
15403 | Philosophical logic is a branch of logic, and is now centred in computer science [Burgess] |
15407 | Formalising arguments favours lots of connectives; proving things favours having very few [Burgess] |
15424 | Asserting a disjunction from one disjunct seems odd, but can be sensible, and needed in maths [Burgess] |
15409 | All occurrences of variables in atomic formulas are free [Burgess] |
15414 | The denotation of a definite description is flexible, rather than rigid [Burgess] |
15406 | 'Induction' and 'recursion' on complexity prove by connecting a formula to its atomic components [Burgess] |
15425 | The sequent calculus makes it possible to have proof without transitivity of entailment [Burgess] |
15426 | We can build one expanding sequence, instead of a chain of deductions [Burgess] |
15408 | 'Tautologies' are valid formulas of classical sentential logic - or substitution instances in other logics [Burgess] |
15418 | Validity (for truth) and demonstrability (for proof) have correlates in satisfiability and consistency [Burgess] |
15412 | Models leave out meaning, and just focus on truth values [Burgess] |
15411 | We only need to study mathematical models, since all other models are isomorphic to these [Burgess] |
15416 | We aim to get the technical notion of truth in all models matching intuitive truth in all instances [Burgess] |
15428 | The Liar seems like a truth-value 'gap', but dialethists see it as a 'glut' [Burgess] |
15420 | De re modality seems to apply to objects a concept intended for sentences [Burgess] |
15419 | General consensus is S5 for logical modality of validity, and S4 for proof [Burgess] |
15417 | Logical necessity has two sides - validity and demonstrability - which coincide in classical logic [Burgess] |
15422 | Three conditionals theories: Materialism (material conditional), Idealism (true=assertable), Nihilism (no truth) [Burgess] |
15423 | It is doubtful whether the negation of a conditional has any clear meaning [Burgess] |
18658 | The 'Kantian' self steps back from commitment to its social situation [Kymlicka] |
18650 | Teleological theories give the good priority over concern for people [Kymlicka] |
18664 | Maybe the particularist moral thought of women is better than the impartial public thinking of men [Kymlicka] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
18624 | Utilitarianism is not a decision-procedure; choice of the best procedure is an open question [Kymlicka] |
18626 | One view says start with equality, and infer equal weight to interests, and hence maximum utility [Kymlicka] |
18627 | A second view says start with maximising the good, implying aggregation, and hence equality [Kymlicka] |
18625 | To maximise utility should we double the population, even if life somewhat deteriorates? [Kymlicka] |
18638 | The difference principles says we must subsidise the costs of other people's choices [Kymlicka] |
18635 | Social contract theories are usually rejected because there never was such a contract [Kymlicka] |
18630 | Utilitarianism is no longer a distinctive political position [Kymlicka] |
18623 | The quest of the general good is partly undermined by people's past entitlements [Kymlicka] |
18628 | We shouldn't endorse preferences which reject equality, and show prejudice and selfishness [Kymlicka] |
18629 | Using utilitarian principles to make decisions encourages cold detachment from people [Kymlicka] |
18637 | Utilitarianism is irrational if it tells you to trade in your rights and resources just for benefits [Kymlicka] |
18663 | Modern liberalism has added personal privacy to our personal social lives [Kymlicka] |
18632 | Liberalism tends to give priority to basic liberties [Kymlicka] |
18656 | Marxists say liberalism is unjust, because it allows exploitation in the sale of labour [Kymlicka] |
18659 | The 'Kantian' view of the self misses the way it is embedded or situated in society [Kymlicka] |
18660 | Communitarians say we should pay more attention to our history [Kymlicka] |
18657 | Communitarian states only encourage fairly orthodox ideas of the good life [Kymlicka] |
18649 | If everyone owned himself, that would prevent slavery [Kymlicka] |
18640 | Libertarians like the free market, but they also think that the free market is just [Kymlicka] |
18651 | The most valuable liberties to us need not be the ones with the most freedom [Kymlicka] |
18661 | Ancient freedom was free participation in politics, not private independence of life [Kymlicka] |
18633 | Equal opportunities seems fair, because your fate is from your choices, not your circumstances [Kymlicka] |
18634 | Equal opportunity arbitrarily worries about social circumstances, but ignores talents [Kymlicka] |
18654 | Marxists say justice is unneeded in the truly good community [Kymlicka] |
18652 | The Lockean view of freedom depends on whether you had a right to what is restricted [Kymlicka] |
18655 | Justice corrects social faults, but also expresses respect to individuals as ends [Kymlicka] |