60 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] |
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] |
15503 | We needn't accept this speck of nothingness, this black hole in the fabric of Reality! [Lewis] |
15497 | We can replace the membership relation with the member-singleton relation (plus mereology) [Lewis] |
15506 | If we don't understand the singleton, then we don't understand classes [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] |
15504 | Atomless gunk is an individual whose parts all have further proper parts [Lewis] |
15501 | We have no idea of a third sort of thing, that isn't an individual, a class, or their mixture [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] |
10566 | Lewis prefers giving up singletons to giving up sums [Lewis, by Fine,K] |
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] |
15509 | Some say qualities are parts of things - as repeatable universals, or as particulars [Lewis] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
20547 | We should respect the right of people to live in their own way, even if it is irrational [Swift] |
20564 | Anti-colonial movements usually invoke the right of their 'people' to self-determination [Swift] |
20535 | Isn't it more rational to maximise the average position, but with a safety net? [Swift] |
20537 | Hypothetical contracts have no binding force [Swift] |
20542 | Cosmopolitans reject the right of different states to distribute resources in different ways [Swift] |
20559 | Democracy is bad, but the other systems are worse [Swift] |
20561 | Since all opinions are treated as equal in democracy, it implies there are no right answers [Swift] |
20562 | Design your democracy to treat citizens equally, or to produce better citizens? [Swift] |
20563 | Design your democracy to yield political stability, or good decisions? [Swift] |
20560 | Teledemocracy omits debate and deliberation, which are important parts of good decisions [Swift] |
20554 | Multiculturalism is a barrier to the whole state being a community [Swift] |
20553 | Liberals mistakenly think individuals choose their values, without reference to the community [Swift] |
20556 | The best way to build a cohesive community is to be involved in a war [Swift] |
20557 | Membership and inclusion in a community implies non-membership and exclusion [Swift] |
20555 | Liberals are concerned to protect individuals from too much community [Swift] |
20540 | Redistributing wealth treats some people as means, rather than as ends [Swift] |
20551 | Men have had the power to structure all of our social institutions [Swift] |
20545 | Maybe a freedom is from a restraint, and also in order to do something [Swift] |
20550 | Opportunity should ignore extraneous factors, or foster competence, or ignore all disadvantages [Swift] |
20536 | Inequalities are needed, as incentives to do the most important jobs [Swift] |
20548 | A person can desire redistibution of wealth, without it being for reasons of equality [Swift] |
20541 | You can't necessarily sell your legitimate right to something, even if you produced it [Swift] |
20546 | Libertarians about property ignore the fact that private property is a denial of freedoms [Swift] |
20533 | Justice can be seen as fairness or entitlement or desert [Swift] |