191 ideas
18390 | All metaphysical discussion should be guided by a quest for truthmakers [Armstrong] |
16325 | Analysis rests on natural language, but its ideal is a framework which revises language [Halbach] |
17663 | If you know what it is, investigation is pointless. If you don't, investigation is impossible [Armstrong] |
4036 | What matters is not how many entities we postulate, but how many kinds of entities [Armstrong, by Mellor/Oliver] |
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] |
18467 | Truth-making can't be entailment, because truthmakers are portions of reality [Armstrong] |
18468 | Armstrong says truthmakers necessitate their truth, where 'necessitate' is a primitive relation [Armstrong, by MacBride] |
15547 | Negative existentials have 'totality facts' as truthmakers [Armstrong, by Lewis] |
18377 | Negative truths have as truthmakers all states of affairs relevant to the truth [Armstrong] |
18382 | The nature of arctic animals is truthmaker for the absence of penguins there [Armstrong] |
18394 | In mathematics, truthmakers are possible instantiations of structures [Armstrong] |
18384 | One truthmaker will do for a contingent truth and for its contradictory [Armstrong] |
18387 | The truthmakers for possible unicorns are the elements in their combination [Armstrong] |
18386 | What is the truthmaker for 'it is possible that there could have been nothing'? [Armstrong] |
18381 | Necessitating general truthmakers must also specify their limits [Armstrong] |
4742 | Correspondence may be one-many or many one, as when either p or q make 'p or q' true [Armstrong] |
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] |
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] |
15655 | Should axiomatic truth be 'conservative' - not proving anything apart from implications of the axioms? [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] |
15544 | If what is actual might have been impossible, we need S4 modal logic [Armstrong, by Lewis] |
16334 | In Weak Kleene logic there are 'gaps', neither true nor false if one component lacks a truth value [Halbach] |
16335 | In Strong Kleene logic a disjunction just needs one disjunct to be true [Halbach] |
18396 | The set theory brackets { } assert that the member is a unit [Armstrong] |
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] |
18393 | For 'there is a class with no members' we don't need the null set as truthmaker [Armstrong] |
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] |
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] |
18392 | Classes have cardinalities, so their members must all be treated as units [Armstrong] |
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] |
16345 | That Peano arithmetic is interpretable in ZF set theory is taken by philosophers as a reduction [Halbach] |
18385 | Logical atomism builds on the simple properties, but are they the only possible properties? [Armstrong] |
8507 | Some think of reality as made of things; I prefer facts or states of affairs [Armstrong] |
18391 | 'Naturalism' says only the world of space-time exists [Armstrong] |
9497 | Without modality, Armstrong falls back on fictionalism to support counterfactual laws [Bird on Armstrong] |
17688 | Negative facts are supervenient on positive facts, suggesting they are positive facts [Armstrong] |
18374 | Truthmaking needs states of affairs, to unite particulars with tropes or universals. [Armstrong] |
17691 | Nothing is genuinely related to itself [Armstrong] |
7024 | Properties are universals, which are always instantiated [Armstrong, by Heil] |
17679 | All instances of some property are strictly identical [Armstrong] |
15550 | Properties are contingently existing beings with multiple locations in space and time [Armstrong, by Lewis] |
15754 | Without properties we would be unable to express the laws of nature [Armstrong] |
18372 | We need properties, as minimal truthmakers for the truths about objects [Armstrong] |
18379 | The determinates of a determinable must be incompatible with each other [Armstrong] |
18378 | Length is a 'determinable' property, and one mile is one its 'determinates' [Armstrong] |
9478 | Even if all properties are categorical, they may be denoted by dispositional predicates [Armstrong, by Bird] |
12677 | Armstrong holds that all basic properties are categorical [Armstrong, by Ellis] |
4034 | Whether we apply 'cold' or 'hot' to an object is quite separate from its change of temperature [Armstrong] |
8535 | To the claim that every predicate has a property, start by eliminating failure of application of predicate [Armstrong] |
8537 | Tropes fall into classes, because exact similarity is symmetrical and transitive [Armstrong] |
4444 | One moderate nominalist view says that properties and relations exist, but they are particulars [Armstrong] |
18373 | If tropes are non-transferable, then they necessarily belong to their particular substance [Armstrong] |
8538 | Trope theory needs extra commitments, to symmetry and non-transitivity, unless resemblance is exact [Armstrong] |
4445 | If properties and relations are particulars, there is still the problem of how to classify and group them [Armstrong] |
18400 | Properties are not powers - they just have powers [Armstrong] |
14330 | To be realists about dispositions, we can only discuss them through their categorical basis [Armstrong] |
17666 | Actualism means that ontology cannot contain what is merely physically possible [Armstrong] |
17667 | Dispositions exist, but their truth-makers are actual or categorical properties [Armstrong] |
17687 | If everything is powers there is a vicious regress, as powers are defined by more powers [Armstrong] |
18397 | Powers must result in some non-powers, or there would only be potential without result [Armstrong] |
18399 | How does the power of gravity know the distance it acts over? [Armstrong] |
8506 | Particulars and properties are distinguishable, but too close to speak of a relation [Armstrong] |
4448 | Should we decide which universals exist a priori (through words), or a posteriori (through science)? [Armstrong] |
17678 | Universals are just the repeatable features of a world [Armstrong] |
4032 | The problem of universals is how many particulars can all be of the same 'type' [Armstrong] |
17669 | Realist regularity theories of laws need universals, to pick out the same phenomena [Armstrong] |
8539 | Universals are required to give a satisfactory account of the laws of nature [Armstrong] |
10729 | Universals explain resemblance and causal power [Armstrong, by Oliver] |
17677 | Past, present and future must be equally real if universals are instantiated [Armstrong] |
15442 | Universals are abstractions from their particular instances [Armstrong, by Lewis] |
17686 | Universals are abstractions from states of affairs [Armstrong] |
4446 | It is claimed that some universals are not exemplified by any particular, so must exist separately [Armstrong] |
4442 | Most thinkers now reject self-predication (whiteness is NOT white) so there is no Third Man problem [Armstrong] |
8505 | Refusal to explain why different tokens are of the same type is to be an ostrich [Armstrong] |
8529 | Deniers of properties and relations rely on either predicates or on classes [Armstrong] |
4440 | 'Resemblance Nominalism' finds that in practice the construction of resemblance classes is hard [Armstrong] |
8532 | Resemblances must be in certain 'respects', and they seem awfully like properties [Armstrong] |
4439 | 'Resemblance Nominalism' says properties are resemblances between classes of particulars [Armstrong] |
4031 | It doesn't follow that because there is a predicate there must therefore exist a property [Armstrong] |
8530 | Change of temperature in objects is quite independent of the predicates 'hot' and 'cold' [Armstrong] |
8536 | We want to know what constituents of objects are grounds for the application of predicates [Armstrong] |
4431 | 'Predicate Nominalism' says that a 'universal' property is just a predicate applied to lots of things [Armstrong] |
4433 | Concept and predicate nominalism miss out some predicates, and may be viciously regressive [Armstrong] |
4432 | 'Concept Nominalism' says a 'universal' property is just a mental concept applied to lots of things [Armstrong] |
8531 | In most sets there is no property common to all the members [Armstrong] |
4436 | 'Class Nominalism' may explain properties if we stick to 'natural' sets, and ignore random ones [Armstrong] |
4434 | 'Class Nominalism' says that properties or kinds are merely membership of a set (e.g. of white things) [Armstrong] |
4435 | 'Class Nominalism' cannot explain co-extensive properties, or sets with random members [Armstrong] |
18371 | The class of similar things is much too big a truthmaker for the feature of a particular [Armstrong] |
4437 | 'Mereological Nominalism' sees whiteness as a huge white object consisting of all the white things [Armstrong] |
4438 | 'Mereological Nominalism' may work for whiteness, but it doesn't seem to work for squareness [Armstrong] |
17668 | It is likely that particulars can be individuated by unique conjunctions of properties [Armstrong] |
12887 | A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim] |
15753 | Essences might support Resemblance Nominalism, but they are too coarse and ill-defined [Armstrong] |
18389 | When entities contain entities, or overlap with them, there is 'partial' identity [Armstrong] |
10024 | The type-token distinction is the universal-particular distinction [Armstrong, by Hodes] |
10728 | A thing's self-identity can't be a universal, since we can know it a priori [Armstrong, by Oliver] |
17680 | The identity of a thing with itself can be ruled out as a pseudo-property [Armstrong] |
16346 | Maybe necessity is a predicate, not the usual operator, to make it more like truth [Halbach] |
15542 | All possibilities are recombinations of properties in the actual world [Armstrong, by Lewis] |
17693 | The necessary/contingent distinction may need to recognise possibilities as real [Armstrong] |
4743 | The truth-maker for a truth must necessitate that truth [Armstrong] |
11003 | The best version of reductionist actualism around is Armstrong's combinatorial account [Armstrong, by Read] |
18388 | Possible worlds don't fix necessities; intrinsic necessities imply the extension in worlds [Armstrong] |
6498 | Armstrong suggests secondary qualities are blurred primary qualities [Armstrong, by Robinson,H] |
7440 | Secondary qualities are microscopic primary qualities of physical things [Armstrong] |
3900 | Maybe experience is not essential to perception, but only to the causing of beliefs [Armstrong, by Scruton] |
4253 | Externalism says knowledge involves a natural relation between the belief state and what makes it true [Armstrong] |
17685 | Induction aims at 'all Fs', but abduction aims at hidden or theoretical entities [Armstrong] |
17683 | Science suggests that the predicate 'grue' is not a genuine single universal [Armstrong] |
17675 | Unlike 'green', the 'grue' predicate involves a time and a change [Armstrong] |
17674 | The raven paradox has three disjuncts, confirmed by confirming any one of them [Armstrong] |
17672 | A good reason for something (the smoke) is not an explanation of it (the fire) [Armstrong] |
17684 | To explain observations by a regular law is to explain the observations by the observations [Armstrong] |
17676 | Best explanations explain the most by means of the least [Armstrong] |
7437 | Consciousness and experience of qualities are not the same [Armstrong] |
18375 | General truths are a type of negative truth, saying there are no more ravens than black ones [Armstrong] |
5690 | A mental state without belief refutes self-intimation; a belief with no state refutes infallibility [Armstrong, by Shoemaker] |
7434 | Behaviourism is false, but mind is definable as the cause of behaviour [Armstrong] |
7436 | The manifestations of a disposition need never actually exist [Armstrong] |
5493 | If pains are defined causally, and research shows that the causal role is physical, then pains are physical [Armstrong, by Lycan] |
4600 | Armstrong and Lewis see functionalism as an identity of the function and its realiser [Armstrong, by Heil] |
7429 | Causal Functionalism says mental states are apt for producing behaviour [Armstrong] |
7438 | A causal theory of mentality would be improved by a teleological element [Armstrong] |
7431 | The identity of mental states with physical properties is contingent, because the laws of nature are contingent [Armstrong] |
7432 | One mental role might be filled by a variety of physical types [Armstrong] |
17664 | Each subject has an appropriate level of abstraction [Armstrong] |
8533 | Predicates need ontological correlates to ensure that they apply [Armstrong] |
4035 | There must be some explanation of why certain predicates are applicable to certain objects [Armstrong] |
18368 | For all being, there is a potential proposition which expresses its existence and nature [Armstrong] |
18370 | A realm of abstract propositions is causally inert, so has no explanatory value [Armstrong] |
16298 | We need propositions to ascribe the same beliefs to people with different languages [Halbach] |
17692 | We can't deduce the phenomena from the One [Armstrong] |
17689 | Absences might be effects, but surely not causes? [Armstrong] |
18380 | Negative causations supervene on positive causations plus their laws? [Armstrong] |
4798 | In recent writings, Armstrong makes a direct identification of necessitation with causation [Armstrong, by Psillos] |
17682 | A universe couldn't consist of mere laws [Armstrong] |
17662 | Science depends on laws of nature to study unobserved times and spaces [Armstrong] |
17690 | Oaken conditional laws, Iron universal laws, and Steel necessary laws [Armstrong, by PG] |
17670 | Newton's First Law refers to bodies not acted upon by a force, but there may be no such body [Armstrong] |
8582 | Regularities are lawful if a second-order universal unites two first-order universals [Armstrong, by Lewis] |
17671 | A naive regularity view says if it never occurs then it is impossible [Armstrong] |
8541 | Regularities theories are poor on causal connections, counterfactuals and probability [Armstrong] |
8540 | The introduction of sparse properties avoids the regularity theory's problem with 'grue' [Armstrong] |
17681 | The laws of nature link properties with properties [Armstrong] |
16246 | Rather than take necessitation between universals as primitive, just make laws primitive [Maudlin on Armstrong] |
9480 | Armstrong has an unclear notion of contingent necessitation, which can't necessitate anything [Bird on Armstrong] |
5492 | How can essences generate the right powers to vary with distance between objects? [Armstrong] |
18401 | The pure present moment is too brief to be experienced [Armstrong] |