43 ideas
13201 | ∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton] |
13206 | A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton] |
13204 | The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [Enderton] |
13200 | Note that {Φ} =/= Φ, because Φ ∈ {Φ} but Φ ∉ Φ [Enderton] |
13199 | The empty set may look pointless, but many sets can be constructed from it [Enderton] |
13203 | The singleton is defined using the pairing axiom (as {x,x}) [Enderton] |
13202 | Fraenkel added Replacement, to give a theory of ordinal numbers [Enderton] |
13205 | We can only define functions if Choice tells us which items are involved [Enderton] |
6417 | In 1921 Russell abandoned sense-data, and the gap between sensation and object [Russell, by Grayling] |
6474 | Seeing is not in itself knowledge, but is separate from what is seen, such as a patch of colour [Russell] |
6476 | We cannot assume that the subject actually exists, so we cannot distinguish sensations from sense-data [Russell] |
2792 | It is possible the world came into existence five minutes ago, complete with false memories [Russell] |
22326 | Knowledge needs more than a sensitive response; the response must also be appropriate [Russell] |
18658 | The 'Kantian' self steps back from commitment to its social situation [Kymlicka] |
6475 | In perception, the self is just a logical fiction demanded by grammar [Russell] |
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] |
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] |