110 ideas
6979 | Serious metaphysics cares about entailment between sentences [Jackson] |
6980 | Conceptual analysis studies whether one story is made true by another story [Jackson] |
6983 | Intuitions about possibilities are basic to conceptual analysis [Jackson] |
14707 | Conceptual analysis is needed to establish that metaphysical reductions respect original meanings [Jackson, by Schroeter] |
16325 | Analysis rests on natural language, but its ideal is a framework which revises language [Halbach] |
16292 | An explicit definition enables the elimination of what is defined [Halbach] |
16307 | Don't trust analogies; they are no more than a guideline [Halbach] |
16330 | Truth-value 'gluts' allow two truth values together; 'gaps' give a partial conception of truth [Halbach] |
16339 | Truth axioms prove objects exist, so truth doesn't seem to be a logical notion [Halbach] |
16324 | Any definition of truth requires a metalanguage [Halbach] |
15647 | Truth definitions don't produce a good theory, because they go beyond your current language [Halbach] |
16293 | Traditional definitions of truth often make it more obscure, rather than less [Halbach] |
16301 | If people have big doubts about truth, a definition might give it more credibility [Halbach] |
7005 | Something can only have a place in a preferred account of things if it is entailed by the account [Jackson] |
6994 | Truth supervenes on being [Jackson] |
15649 | In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage [Halbach] |
16297 | Semantic theories avoid Tarski's Theorem by sticking to a sublanguage [Halbach] |
16337 | Disquotational truth theories are short of deductive power [Halbach] |
15650 | Axiomatic theories of truth need a weak logical framework, and not a strong metatheory [Halbach] |
16322 | CT proves PA consistent, which PA can't do on its own, so CT is not conservative over PA [Halbach] |
15655 | Should axiomatic truth be 'conservative' - not proving anything apart from implications of the axioms? [Halbach] |
15654 | If truth is defined it can be eliminated, whereas axiomatic truth has various commitments [Halbach] |
16294 | Axiomatic truth doesn't presuppose a truth-definition, though it could admit it at a later stage [Halbach] |
16326 | The main semantic theories of truth are Kripke's theory, and revisions semantics [Halbach] |
16311 | To axiomatise Tarski's truth definition, we need a binary predicate for his 'satisfaction' [Halbach] |
16318 | Compositional Truth CT has the truth of a sentence depending of the semantic values of its constituents [Halbach] |
16299 | Gödel numbering means a theory of truth can use Peano Arithmetic as its base theory [Halbach] |
16340 | Truth axioms need a base theory, because that is where truth issues arise [Halbach] |
16305 | We know a complete axiomatisation of truth is not feasible [Halbach] |
16313 | A theory is 'conservative' if it adds no new theorems to its base theory [Halbach, by PG] |
16315 | The Tarski Biconditional theory TB is Peano Arithmetic, plus truth, plus all Tarski bi-conditionals [Halbach] |
16314 | Theories of truth are 'typed' (truth can't apply to sentences containing 'true'), or 'type-free' [Halbach] |
15648 | Instead of a truth definition, add a primitive truth predicate, and axioms for how it works [Halbach] |
16327 | Friedman-Sheard is type-free Compositional Truth, with two inference rules for truth [Halbach] |
16329 | Kripke-Feferman theory KF axiomatises Kripke fixed-points, with Strong Kleene logic with gluts [Halbach] |
16331 | The KF is much stronger deductively than FS, which relies on classical truth [Halbach] |
16332 | The KF theory is useful, but it is not a theory containing its own truth predicate [Halbach] |
16320 | Some say deflationism is axioms which are conservative over the base theory [Halbach] |
15656 | Deflationists say truth merely serves to express infinite conjunctions [Halbach] |
16338 | Deflationism says truth is a disquotation device to express generalisations, adding no new knowledge [Halbach] |
16317 | The main problem for deflationists is they can express generalisations, but not prove them [Halbach] |
16316 | Deflationists say truth is just for expressing infinite conjunctions or generalisations [Halbach] |
16319 | Compositional Truth CT proves generalisations, so is preferred in discussions of deflationism [Halbach] |
16335 | In Strong Kleene logic a disjunction just needs one disjunct to be true [Halbach] |
16334 | In Weak Kleene logic there are 'gaps', neither true nor false if one component lacks a truth value [Halbach] |
15657 | To prove the consistency of set theory, we must go beyond set theory [Halbach] |
16309 | Every attempt at formal rigour uses some set theory [Halbach] |
16333 | The underestimated costs of giving up classical logic are found in mathematical reasoning [Halbach] |
15652 | We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach] |
14352 | '¬', '&', and 'v' are truth functions: the truth of the compound is fixed by the truth of the components [Jackson] |
15651 | Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach] |
16310 | A theory is some formulae and all of their consequences [Halbach] |
16342 | You cannot just say all of Peano arithmetic is true, as 'true' isn't part of the system [Halbach] |
16341 | Normally we only endorse a theory if we believe it to be sound [Halbach] |
16344 | Soundness must involve truth; the soundness of PA certainly needs it [Halbach] |
16347 | Many new paradoxes may await us when we study interactions between frameworks [Halbach] |
16336 | The liar paradox applies truth to a negated truth (but the conditional will serve equally) [Halbach] |
16321 | The compactness theorem can prove nonstandard models of PA [Halbach] |
16343 | The global reflection principle seems to express the soundness of Peano Arithmetic [Halbach] |
16312 | To reduce PA to ZF, we represent the non-negative integers with von Neumann ordinals [Halbach] |
16308 | Set theory was liberated early from types, and recent truth-theories are exploring type-free [Halbach] |
6984 | Smooth reductions preserve high-level laws in the lower level [Jackson] |
16345 | That Peano arithmetic is interpretable in ZF set theory is taken by philosophers as a reduction [Halbach] |
6978 | Baldness is just hair distribution, but the former is indeterminate, unlike the latter [Jackson] |
6993 | Redness is a property, but only as a presentation to normal humans [Jackson] |
8499 | Nominalists cannot translate 'red resembles pink more than blue' into particulars [Jackson] |
8500 | Colour resemblance isn't just resemblance between things; 'colour' must be mentioned [Jackson] |
14633 | How do we tell a table's being contingently plastic from its being essentially plastic? [Jackson] |
14635 | An x is essentially F if it is F in every possible world in which it appears [Jackson] |
14632 | Quine may have conflated de re and de dicto essentialism, but there is a real epistemological problem [Jackson] |
16346 | Maybe necessity is a predicate, not the usual operator, to make it more like truth [Halbach] |
6987 | We should not multiply senses of necessity beyond necessity [Jackson] |
14360 | Possible worlds for subjunctives (and dispositions), and no-truth for indicatives? [Jackson] |
14288 | 'If A,B' affirms that A⊃B, and also that this wouldn't change if A were certain [Jackson, by Edgington] |
13769 | Conditionals are truth-functional, but should only be asserted when they are confident [Jackson, by Edgington] |
13858 | The truth-functional account of conditionals is right, if the antecedent is really acceptable [Jackson, by Edgington] |
14289 | There are some assertable conditionals one would reject if one learned the antecedent [Jackson, by Edgington] |
14353 | Modus ponens requires that A→B is F when A is T and B is F [Jackson] |
14354 | When A and B have the same truth value, A→B is true, because A→A is a logical truth [Jackson] |
14355 | (A&B)→A is a logical truth, even if antecedent false and consequent true, so it is T if A is F and B is T [Jackson] |
14358 | In the possible worlds account of conditionals, modus ponens and modus tollens are validated [Jackson] |
14359 | Only assertions have truth-values, and conditionals are not proper assertions [Jackson] |
14357 | Possible worlds account, unlike A⊃B, says nothing about when A is false [Jackson] |
14356 | We can't insist that A is relevant to B, as conditionals can express lack of relevance [Jackson] |
14631 | How can you show the necessity of an a posteriori necessity, if it might turn out to be false? [Jackson] |
6988 | Mathematical sentences are a problem in a possible-worlds framework [Jackson] |
6975 | Possible worlds could be concrete, abstract, universals, sentences, or properties [Jackson] |
6982 | Long arithmetic calculations show the a priori can be fallible [Jackson] |
6991 | We examine objects to determine colour; we do not introspect [Jackson] |
3061 | Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius] |
4894 | I say Mary does not have new knowledge, but knows an old fact in a new way [Perry on Jackson] |
4895 | Is it unfair that physicalist knowledge can be written down, but dualist knowledge can't be [Perry on Jackson] |
4886 | Mary knows all the physical facts of seeing red, but experiencing it is new knowledge [Jackson] |
6976 | In physicalism, the psychological depends on the physical, not the other way around [Jackson] |
6986 | Is the dependence of the psychological on the physical a priori or a posteriori? [Jackson] |
6992 | If different states can fulfil the same role, the converse must also be possible [Jackson] |
7880 | If a blind persons suddenly sees a kestrel, that doesn't make visual and theoretical kestrels different [Papineau on Jackson] |
7378 | No one bothers to imagine what it would really be like to have ALL the physical information [Dennett on Jackson] |
7377 | Mary learns when she sees colour, so her complete physical information had missed something [Jackson] |
6996 | Folk psychology covers input, internal role, and output [Jackson] |
6977 | Egocentric or de se content seems to be irreducibly so [Jackson] |
6990 | Keep distinct the essential properties of water, and application conditions for the word 'water' [Jackson] |
6985 | Analysis is finding necessary and sufficient conditions by studying possible cases [Jackson] |
6995 | Successful predication supervenes on nature [Jackson] |
6989 | I can understand "He has a beard", without identifying 'he', and hence the truth conditions [Jackson] |
16298 | We need propositions to ascribe the same beliefs to people with different languages [Halbach] |
6998 | Folk morality does not clearly distinguish between doing and allowing [Jackson] |
6997 | Moral functionalism says moral terms get their meaning from their role in folk morality [Jackson] |
7000 | Which are prior - thin concepts like right, good, ought; or thick concepts like kindness, equity etc.? [Jackson] |
6999 | It is hard to justify the huge difference in our judgements of abortion and infanticide [Jackson] |