65 ideas
18395 | Sets are mereological sums of the singletons of their members [Lewis, by Armstrong] |
15496 | We can build set theory on singletons: classes are then fusions of subclasses, membership is the singleton [Lewis] |
15500 | Classes divide into subclasses in many ways, but into members in only one way [Lewis] |
15499 | A subclass of a subclass is itself a subclass; a member of a member is not in general a member [Lewis] |
15503 | We needn't accept this speck of nothingness, this black hole in the fabric of Reality! [Lewis] |
15498 | We can accept the null set, but there is no null class of anything [Lewis] |
15502 | There are four main reasons for asserting that there is an empty set [Lewis] |
15506 | If we don't understand the singleton, then we don't understand classes [Lewis] |
15497 | We can replace the membership relation with the member-singleton relation (plus mereology) [Lewis] |
15511 | If singleton membership is external, why is an object a member of one rather than another? [Lewis] |
15513 | Maybe singletons have a structure, of a thing and a lasso? [Lewis] |
15507 | Set theory has some unofficial axioms, generalisations about how to understand it [Lewis] |
10191 | Set theory reduces to a mereological theory with singletons as the only atoms [Lewis, by MacBride] |
15508 | If singletons are where their members are, then so are all sets [Lewis] |
15514 | A huge part of Reality is only accepted as existing if you have accepted set theory [Lewis] |
15523 | Set theory isn't innocent; it generates infinities from a single thing; but mathematics needs it [Lewis] |
15525 | Plural quantification lacks a complete axiom system [Lewis] |
15518 | I like plural quantification, but am not convinced of its connection with second-order logic [Lewis] |
15524 | Zermelo's model of arithmetic is distinctive because it rests on a primitive of set theory [Lewis] |
15517 | Giving up classes means giving up successful mathematics because of dubious philosophy [Lewis] |
15515 | To be a structuralist, you quantify over relations [Lewis] |
15520 | Existence doesn't come in degrees; once asserted, it can't then be qualified [Lewis] |
15501 | We have no idea of a third sort of thing, that isn't an individual, a class, or their mixture [Lewis] |
15504 | Atomless gunk is an individual whose parts all have further proper parts [Lewis] |
15516 | A property is any class of possibilia [Lewis] |
14748 | The many are many and the one is one, so they can't be identical [Lewis] |
6129 | Lewis affirms 'composition as identity' - that an object is no more than its parts [Lewis, by Merricks] |
15512 | In mereology no two things consist of the same atoms [Lewis] |
15519 | Trout-turkeys exist, despite lacking cohesion, natural joints and united causal power [Lewis] |
15521 | Given cats, a fusion of cats adds nothing further to reality [Lewis] |
15522 | The one has different truths from the many; it is one rather than many, one rather than six [Lewis] |
14244 | Lewis only uses fusions to create unities, but fusions notoriously flatten our distinctions [Oliver/Smiley on Lewis] |
10660 | A commitment to cat-fusions is not a further commitment; it is them and they are it [Lewis] |
10566 | Lewis prefers giving up singletons to giving up sums [Lewis, by Fine,K] |
15509 | Some say qualities are parts of things - as repeatable universals, or as particulars [Lewis] |
18658 | The 'Kantian' self steps back from commitment to its social situation [Kymlicka] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
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] |