83 ideas
9408 | Science studies phenomena, but only metaphysics tells us what exists [Mumford] |
9429 | Many forms of reasoning, such as extrapolation and analogy, are useful but deductively invalid [Mumford] |
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] |
6548 | Physicalism requires the naturalisation or rejection of set theory [Lycan] |
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] |
9427 | For Humeans the world is a world primarily of events [Mumford] |
15520 | Existence doesn't come in degrees; once asserted, it can't then be qualified [Lewis] |
6531 | Institutions are not reducible as types, but they are as tokens [Lycan] |
6532 | Types cannot be reduced, but levels of reduction are varied groupings of the same tokens [Lycan] |
6534 | One location may contain molecules, a metal strip, a key, an opener of doors, and a human tragedy [Lycan] |
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] |
6529 | I see the 'role'/'occupant' distinction as fundamental to metaphysics [Lycan] |
15516 | A property is any class of possibilia [Lewis] |
9446 | Properties are just natural clusters of powers [Mumford] |
9435 | A 'porridge' nominalist thinks we just divide reality in any way that suits us [Mumford] |
9447 | If properties are clusters of powers, this can explain why properties resemble in degrees [Mumford] |
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] |
12248 | How can we show that a universally possessed property is an essential property? [Mumford] |
6549 | I think greenness is a complex microphysical property of green objects [Lycan] |
15509 | Some say qualities are parts of things - as repeatable universals, or as particulars [Lewis] |
6543 | Intentionality comes in degrees [Lycan] |
6537 | Teleological views allow for false intentional content, unlike causal and nomological theories [Lycan] |
6546 | Pain is composed of urges, desires, impulses etc, at different levels of abstraction [Lycan] |
6547 | The right 'level' for qualia is uncertain, though top (behaviourism) and bottom (particles) are false [Lycan] |
6527 | If energy in the brain disappears into thin air, this breaches physical conservation laws [Lycan] |
6528 | In lower animals, psychology is continuous with chemistry, and humans are continuous with animals [Lycan] |
6554 | Two behaviourists meet. The first says,"You're fine; how am I?" [Lycan] |
6545 | If functionalism focuses on folk psychology, it ignores lower levels of function [Lycan] |
6541 | Functionalism must not be too abstract to allow inverted spectrum, or so structural that it becomes chauvinistic [Lycan] |
6539 | The distinction between software and hardware is not clear in computing [Lycan] |
6533 | Mental types are a subclass of teleological types at a high level of functional abstraction [Lycan] |
6535 | Teleological characterisations shade off smoothly into brutely physical ones [Lycan] |
6544 | Identity theory is functionalism, but located at the lowest level of abstraction [Lycan] |
6530 | We reduce the mind through homuncular groups, described abstractly by purpose [Lycan] |
6536 | Teleological functionalism helps us to understand psycho-biological laws [Lycan] |
6542 | A Martian may exhibit human-like behaviour while having very different sensations [Lycan] |
6538 | We need a notion of teleology that comes in degrees [Lycan] |
9430 | Singular causes, and identities, might be necessary without falling under a law [Mumford] |
9445 | We can give up the counterfactual account if we take causal language at face value [Mumford] |
9443 | It is only properties which are the source of necessity in the world [Mumford] |
9444 | There are four candidates for the logical form of law statements [Mumford] |
9431 | Pure regularities are rare, usually only found in idealized conditions [Mumford] |
9441 | Regularity laws don't explain, because they have no governing role [Mumford] |
9416 | Regularities are more likely with few instances, and guaranteed with no instances! [Mumford] |
9415 | Would it count as a regularity if the only five As were also B? [Mumford] |
9422 | If the best system describes a nomological system, the laws are in nature, not in the description [Mumford] |
9421 | The best systems theory says regularities derive from laws, rather than constituting them [Mumford] |
9432 | Laws of nature are necessary relations between universal properties, rather than about particulars [Mumford] |
9433 | If laws can be uninstantiated, this favours the view of them as connecting universals [Mumford] |
9434 | Laws of nature are just the possession of essential properties by natural kinds [Mumford] |
9437 | To distinguish accidental from essential properties, we must include possible members of kinds [Mumford] |
9439 | The Central Dilemma is how to explain an internal or external view of laws which govern [Mumford] |
9412 | You only need laws if you (erroneously) think the world is otherwise inert [Mumford] |
9411 | There are no laws of nature in Aristotle; they became standard with Descartes and Newton [Mumford] |
6551 | 'Physical' means either figuring in physics descriptions, or just located in space-time [Lycan] |