40 ideas
1627 | Any statement can be held true if we make enough adjustment to the rest of the system [Quine] |
1623 | Definition rests on synonymy, rather than explaining it [Quine] |
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] |
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] |
9204 | Quine's arguments fail because he naively conflates names with descriptions [Fine,K on Quine] |
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] |
10490 | Mathematics isn't surprising, given that we experience many objects as abstract [Boolos] |
17738 | Quine blurs the difference between knowledge of arithmetic and of physics [Jenkins on Quine] |
19492 | Quine is hopeless circular, deriving ontology from what is literal, and 'literal' from good ontology [Yablo on Quine] |
10488 | It is lunacy to think we only see ink-marks, and not word-types [Boolos] |
1628 | If physical objects are a myth, they are useful for making sense of experience [Quine] |
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] |
10929 | Aristotelian essence of the object has become the modern essence of meaning [Quine] |
12188 | Contrary to some claims, Quine does not deny logical necessity [Quine, by McFetridge] |
15090 | Quine's attack on the analytic-synthetic distinction undermined necessary truths [Quine, by Shoemaker] |
9383 | Metaphysical analyticity (and linguistic necessity) are hopeless, but epistemic analyticity is a priori [Boghossian on Quine] |
12424 | Quine challenges the claim that analytic truths are knowable a priori [Quine, by Kitcher] |
9337 | Science is empirical, simple and conservative; any belief can hence be abandoned; so no a priori [Quine, by Horwich] |
9338 | Quine's objections to a priori knowledge only work in the domain of science [Horwich on Quine] |
9340 | Logic, arithmetic and geometry are revisable and a posteriori; quantum logic could be right [Horwich on Quine] |
1620 | Empiricism makes a basic distinction between truths based or not based on facts [Quine] |
1629 | Our outer beliefs must match experience, and our inner ones must be simple [Quine] |
19488 | The second dogma is linking every statement to some determinate observations [Quine, by Yablo] |
1625 | Statements about the external world face the tribunal of sense experience as a corporate body [Quine] |
1626 | It is troublesome nonsense to split statements into a linguistic and a factual component [Quine] |
7317 | 'Renate' and 'cordate' have identical extensions, but are not synonymous [Quine, by Miller,A] |
1621 | Once meaning and reference are separated, meaning ceases to seem important [Quine] |
9371 | Analytic statements are either logical truths (all reinterpretations) or they depend on synonymy [Quine] |
9366 | Quine's attack on analyticity undermined linguistic views of necessity, and analytic views of the a priori [Quine, by Boghossian] |
14473 | Quine attacks the Fregean idea that we can define analyticity through synonyous substitution [Quine, by Thomasson] |
7321 | The last two parts of 'Two Dogmas' are much the best [Miller,A on Quine] |
8803 | Erasing the analytic/synthetic distinction got rid of meanings, and saved philosophy of language [Davidson on Quine] |
17737 | The analytic needs excessively small units of meaning and empirical confirmation [Quine, by Jenkins] |
1624 | If we try to define analyticity by synonymy, that leads back to analyticity [Quine] |
1622 | Did someone ever actually define 'bachelor' as 'unmarried man'? [Quine] |
9425 | Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis] |