52 ideas
18405 | A 'teepee' argument has several mutually supporting planks to it [Cappelen/Dever] |
9355 | One sort of circularity presupposes a premise, the other presupposes a rule being used [Braithwaite, by Devitt] |
10482 | The logic of ZF is classical first-order predicate logic with identity [Boolos] |
10492 | A few axioms of set theory 'force themselves on us', but most of them don't [Boolos] |
18192 | Do the Replacement Axioms exceed the iterative conception of sets? [Boolos, by Maddy] |
7785 | The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos] |
10485 | Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos] |
10484 | The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos] |
13547 | Limitation of Size is weak (Fs only collect is something the same size does) or strong (fewer Fs than objects) [Boolos, by Potter] |
10699 | Does a bowl of Cheerios contain all its sets and subsets? [Boolos] |
14249 | Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley] |
10225 | Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro] |
10830 | Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos] |
10736 | Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo] |
10780 | Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo] |
10829 | A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos] |
10697 | Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos] |
10832 | '∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos] |
13671 | Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro] |
10267 | We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro] |
10698 | Plural forms have no more ontological commitment than to first-order objects [Boolos] |
7806 | Boolos invented plural quantification [Boolos, by Benardete,JA] |
10834 | Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos] |
13841 | Why should compactness be definitive of logic? [Boolos, by Hacking] |
10491 | Infinite natural numbers is as obvious as infinite sentences in English [Boolos] |
10483 | Mathematics and science do not require very high orders of infinity [Boolos] |
10833 | Many concepts can only be expressed by second-order logic [Boolos] |
10490 | Mathematics isn't surprising, given that we experience many objects as abstract [Boolos] |
10700 | First- and second-order quantifiers are two ways of referring to the same things [Boolos] |
10488 | It is lunacy to think we only see ink-marks, and not word-types [Boolos] |
10487 | I am a fan of abstract objects, and confident of their existence [Boolos] |
10489 | We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos] |
18422 | Prioprioception focuses on your body parts, not on your self, or indexicality [Cappelen/Dever] |
18425 | We can acquire self-knowledge with mirrors, not just with proprioception and introspection [Cappelen/Dever] |
18421 | Proprioception is only immune from error if you are certain that it represents the agent [Cappelen/Dever] |
18419 | Folk Functionalism is a Ramsification of our folk psychology [Cappelen/Dever] |
18404 | It is assumed that indexical content is needed to represent the perspective of perception [Cappelen/Dever] |
18426 | All information is objective, and purely indexical information is not much use [Cappelen/Dever] |
18427 | If some of our thought is tied to its context, it will be hard to communicate it [Cappelen/Dever] |
18428 | You don't remember your house interior just from an experienced viewpoint [Cappelen/Dever] |
18429 | Our beliefs and desires are not organised around ourselves, but around the world [Cappelen/Dever] |
18407 | Indexicality is not significantly connected to agency [Cappelen/Dever] |
8693 | An 'abstraction principle' says two things are identical if they are 'equivalent' in some respect [Boolos] |
18413 | Fregeans can't agree on what 'senses' are [Cappelen/Dever] |
18417 | Possible worlds accounts of content are notoriously coarse-grained [Cappelen/Dever] |
18408 | Indexicals are just non-constant in meaning, and don't involve any special concepts [Cappelen/Dever] |
18414 | Fregeans say 'I' differs in reference, so it must also differ in sense [Cappelen/Dever] |
18423 | All indexicals can be expressed non-indexically [Cappelen/Dever] |
18406 | The basic Kaplan view is that there is truth-conditional content, and contextual character [Cappelen/Dever] |
18411 | It is proposed that a huge range of linguistic items are context-sensitive [Cappelen/Dever] |
18420 | We deny that action involves some special class of beliefs [Cappelen/Dever] |
1468 | If meaning is use, then religious sentences have meaning because they are used to assert an intention about how to live [Braithwaite, by PG] |