52 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] |
10842 | The fact which is stated by a true sentence is not something in the world [Strawson,P] |
10843 | Facts aren't exactly true statements, but they are what those statements say [Strawson,P] |
10844 | The statement that it is raining perfectly fits the fact that it is raining [Strawson,P] |
10841 | The word 'true' always refers to a possible statement [Strawson,P] |
17749 | Post proved the consistency of propositional logic in 1921 [Walicki] |
17765 | Propositional language can only relate statements as the same or as different [Walicki] |
17764 | Boolean connectives are interpreted as functions on the set {1,0} [Walicki] |
17752 | The empty set is useful for defining sets by properties, when the members are not yet known [Walicki] |
17753 | The empty set avoids having to take special precautions in case members vanish [Walicki] |
17759 | Ordinals play the central role in set theory, providing the model of well-ordering [Walicki] |
17741 | To determine the patterns in logic, one must identify its 'building blocks' [Walicki] |
9204 | Quine's arguments fail because he naively conflates names with descriptions [Fine,K on Quine] |
17747 | A 'model' of a theory specifies interpreting a language in a domain to make all theorems true [Walicki] |
17748 | The L-S Theorem says no theory (even of reals) says more than a natural number theory [Walicki] |
17761 | A compact axiomatisation makes it possible to understand a field as a whole [Walicki] |
17763 | Axiomatic systems are purely syntactic, and do not presuppose any interpretation [Walicki] |
17758 | Ordinals are transitive sets of transitive sets; or transitive sets totally ordered by inclusion [Walicki] |
17755 | Ordinals are the empty set, union with the singleton, and any arbitrary union of ordinals [Walicki] |
17756 | The union of finite ordinals is the first 'limit ordinal'; 2ω is the second... [Walicki] |
17760 | Two infinite ordinals can represent a single infinite cardinal [Walicki] |
17757 | Members of ordinals are ordinals, and also subsets of ordinals [Walicki] |
17762 | In non-Euclidean geometry, all Euclidean theorems are valid that avoid the fifth postulate [Walicki] |
17754 | Inductive proof depends on the choice of the ordering [Walicki] |
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] |
1628 | If physical objects are a myth, they are useful for making sense of experience [Quine] |
10929 | Aristotelian essence of the object has become the modern essence of meaning [Quine] |
17742 | Scotus based modality on semantic consistency, instead of on what the future could allow [Walicki] |
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] |
9338 | Quine's objections to a priori knowledge only work in the domain of science [Horwich on Quine] |
9337 | Science is empirical, simple and conservative; any belief can hence be abandoned; so no a priori [Quine, by Horwich] |
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] |
1622 | Did someone ever actually define 'bachelor' as 'unmarried man'? [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] |