226 ideas
16395 | Kripke separated semantics from metaphysics, rather than linking them, making the latter independent [Kripke, by Stalnaker] |
19199 | Some say metaphysics is a highly generalised empirical study of objects [Tarski] |
19193 | Disputes that fail to use precise scientific terminology are all meaningless [Tarski] |
17034 | Analyses of concepts using entirely different terms are very inclined to fail [Kripke] |
19179 | For a definition we need the words or concepts used, the rules, and the structure of the language [Tarski] |
4955 | Some definitions aim to fix a reference rather than give a meaning [Kripke] |
16295 | Tarski proved that truth cannot be defined from within a given theory [Tarski, by Halbach] |
15342 | Tarski proved that any reasonably expressive language suffers from the liar paradox [Tarski, by Horsten] |
19069 | 'True sentence' has no use consistent with logic and ordinary language, so definition seems hopeless [Tarski] |
10153 | In everyday language, truth seems indefinable, inconsistent, and illogical [Tarski] |
19178 | Definitions of truth should not introduce a new version of the concept, but capture the old one [Tarski] |
19177 | A definition of truth should be materially adequate and formally correct [Tarski] |
19186 | A rigorous definition of truth is only possible in an exactly specified language [Tarski] |
19194 | We may eventually need to split the word 'true' into several less ambiguous terms [Tarski] |
16296 | Tarski's Theorem renders any precise version of correspondence impossible [Tarski, by Halbach] |
10672 | Tarskian semantics says that a sentence is true iff it is satisfied by every sequence [Tarski, by Hossack] |
13338 | '"It is snowing" is true if and only if it is snowing' is a partial definition of the concept of truth [Tarski] |
19180 | It is convenient to attach 'true' to sentences, and hence the language must be specified [Tarski] |
19181 | In the classical concept of truth, 'snow is white' is true if snow is white [Tarski] |
19196 | Scheme (T) is not a definition of truth [Tarski] |
19183 | Each interpreted T-sentence is a partial definition of truth; the whole definition is their conjunction [Tarski] |
19182 | Use 'true' so that all T-sentences can be asserted, and the definition will then be 'adequate' [Tarski] |
19198 | We don't give conditions for asserting 'snow is white'; just that assertion implies 'snow is white' is true [Tarski] |
4699 | Tarski made truth relative, by only defining truth within some given artificial language [Tarski, by O'Grady] |
19324 | Tarski has to avoid stating how truths relate to states of affairs [Kirkham on Tarski] |
15339 | Tarski gave up on the essence of truth, and asked how truth is used, or how it functions [Tarski, by Horsten] |
16302 | Tarski did not just aim at a definition; he also offered an adequacy criterion for any truth definition [Tarski, by Halbach] |
19135 | Tarski enumerates cases of truth, so it can't be applied to new words or languages [Davidson on Tarski] |
19138 | Tarski define truths by giving the extension of the predicate, rather than the meaning [Davidson on Tarski] |
15410 | Truth only applies to closed formulas, but we need satisfaction of open formulas to define it [Burgess on Tarski] |
18811 | Tarski uses sentential functions; truly assigning the objects to variables is what satisfies them [Tarski, by Rumfitt] |
15365 | We can define the truth predicate using 'true of' (satisfaction) for variables and some objects [Tarski, by Horsten] |
19314 | For physicalism, reduce truth to satisfaction, then define satisfaction as physical-plus-logic [Tarski, by Kirkham] |
19316 | Insight: don't use truth, use a property which can be compositional in complex quantified sentence [Tarski, by Kirkham] |
19175 | Tarski gave axioms for satisfaction, then derived its explicit definition, which led to defining truth [Tarski, by Davidson] |
19184 | The best truth definition involves other semantic notions, like satisfaction (relating terms and objects) [Tarski] |
19191 | Specify satisfaction for simple sentences, then compounds; true sentences are satisfied by all objects [Tarski] |
19188 | We can't use a semantically closed language, or ditch our logic, so a meta-language is needed [Tarski] |
19189 | The metalanguage must contain the object language, logic, and defined semantics [Tarski] |
19134 | Tarski defined truth for particular languages, but didn't define it across languages [Davidson on Tarski] |
16304 | Tarski didn't capture the notion of an adequate truth definition, as Convention T won't prove non-contradiction [Halbach on Tarski] |
2571 | Tarski says that his semantic theory of truth is completely neutral about all metaphysics [Tarski, by Haack] |
10821 | Physicalists should explain reference nonsemantically, rather than getting rid of it [Tarski, by Field,H] |
10822 | A physicalist account must add primitive reference to Tarski's theory [Field,H on Tarski] |
10824 | If listing equivalences is a reduction of truth, witchcraft is just a list of witch-victim pairs [Field,H on Tarski] |
15327 | Kripke's semantic theory has actually inspired promising axiomatic theories [Kripke, by Horsten] |
15343 | Kripke offers a semantic theory of truth (involving models) [Kripke, by Horsten] |
16303 | Tarski made truth respectable, by proving that it could be defined [Tarski, by Halbach] |
10969 | Tarski had a theory of truth, and a theory of theories of truth [Tarski, by Read] |
17746 | Tarski's 'truth' is a precise relation between the language and its semantics [Tarski, by Walicki] |
10904 | Tarskian truth neglects the atomic sentences [Mulligan/Simons/Smith on Tarski] |
15322 | Tarski's had the first axiomatic theory of truth that was minimally adequate [Tarski, by Horsten] |
16306 | Tarski defined truth, but an axiomatisation can be extracted from his inductive clauses [Tarski, by Halbach] |
14966 | The Tarskian move to a metalanguage may not be essential for truth theories [Kripke, by Gupta] |
19141 | Tarski thought axiomatic truth was too contingent, and in danger of inconsistencies [Tarski, by Davidson] |
19190 | We need an undefined term 'true' in the meta-language, specified by axioms [Tarski] |
14967 | Certain three-valued languages can contain their own truth predicates [Kripke, by Gupta] |
16328 | Kripke classified fixed points, and illuminated their use for clarifications [Kripke, by Halbach] |
19197 | Truth can't be eliminated from universal claims, or from particular unspecified claims [Tarski] |
19185 | Semantics is a very modest discipline which solves no real problems [Tarski] |
19195 | Truth tables give prior conditions for logic, but are outside the system, and not definitions [Tarski] |
10163 | Propositional modal logic has been proved to be complete [Kripke, by Feferman/Feferman] |
10559 | Kripke's modal semantics presupposes certain facts about possible worlds [Kripke, by Zalta] |
16985 | Possible worlds allowed the application of set-theoretic models to modal logic [Kripke] |
10760 | With possible worlds, S4 and S5 are sound and complete, but S1-S3 are not even sound [Kripke, by Rossberg] |
16189 | The variable domain approach to quantified modal logic invalidates the Barcan Formula [Kripke, by Simchen] |
15132 | The Barcan formulas fail in models with varying domains [Kripke, by Williamson] |
10152 | Set theory and logic are fairy tales, but still worth studying [Tarski] |
10048 | There is no clear boundary between the logical and the non-logical [Tarski] |
13337 | A language: primitive terms, then definition rules, then sentences, then axioms, and finally inference rules [Tarski] |
18812 | Split out the logical vocabulary, make an assignment to the rest. It's logical if premises and conclusion match [Tarski, by Rumfitt] |
10694 | Logical consequence is when in any model in which the premises are true, the conclusion is true [Tarski, by Beall/Restall] |
10479 | Logical consequence: true premises give true conclusions under all interpretations [Tarski, by Hodges,W] |
13344 | X follows from sentences K iff every model of K also models X [Tarski] |
19192 | The truth definition proves semantic contradiction and excluded middle laws (not the logic laws) [Tarski] |
18759 | Identity is invariant under arbitrary permutations, so it seems to be a logical term [Tarski, by McGee] |
10437 | Names are rigid, making them unlike definite descriptions [Kripke, by Sainsbury] |
4949 | Names are rigid designators, which designate the same object in all possible worlds [Kripke] |
4951 | A bundle of qualities is a collection of abstractions, so it can't be a particular [Kripke] |
17031 | A name can still refer even if it satisfies none of its well-known descriptions [Kripke] |
9175 | We may fix the reference of 'Cicero' by a description, but thereafter the name is rigid [Kripke] |
8957 | Some references, such as 'Neptune', have to be fixed by description rather than baptism [Kripke, by Szabó] |
9171 | The function of names is simply to refer [Kripke] |
10428 | Proper names must have referents, because they are not descriptive [Kripke, by Sainsbury] |
4959 | A name's reference is not fixed by any marks or properties of the referent [Kripke] |
10823 | A name denotes an object if the object satisfies a particular sentential function [Tarski] |
16982 | A man has two names if the historical chains are different - even if they are the same! [Kripke] |
10792 | The substitutional quantifier is not in competition with the standard interpretation [Kripke, by Marcus (Barcan)] |
18756 | Tarski built a compositional semantics for predicate logic, from dependent satisfactions [Tarski, by McGee] |
19313 | Tarksi invented the first semantics for predicate logic, using this conception of truth [Tarski, by Kirkham] |
13335 | Semantics is the concepts of connections of language to reality, such as denotation, definition and truth [Tarski] |
13336 | A language containing its own semantics is inconsistent - but we can use a second language [Tarski] |
13339 | A sentence is satisfied when we can assert the sentence when the variables are assigned [Tarski] |
13340 | Satisfaction is the easiest semantical concept to define, and the others will reduce to it [Tarski] |
16323 | The object language/ metalanguage distinction is the basis of model theory [Tarski, by Halbach] |
13343 | A 'model' is a sequence of objects which satisfies a complete set of sentential functions [Tarski] |
13341 | Using the definition of truth, we can prove theories consistent within sound logics [Tarski] |
8940 | Tarski avoids the Liar Paradox, because truth cannot be asserted within the object language [Tarski, by Fisher] |
19187 | The Liar makes us assert a false sentence, so it must be taken seriously [Tarski] |
10157 | Tarski improved Hilbert's geometry axioms, and without set-theory [Tarski, by Feferman/Feferman] |
10154 | Tarski's theory of truth shifted the approach away from syntax, to set theory and semantics [Feferman/Feferman on Tarski] |
7508 | Good reductionism connects fields of knowledge, but doesn't replace one with another [Pinker] |
14896 | Kripke's metaphysics (essences, kinds, rigidity) blocks the slide into sociology [Kripke, by Ladyman/Ross] |
10151 | I am a deeply convinced nominalist [Tarski] |
17000 | We might fix identities for small particulars, but it is utopian to hope for such things [Kripke] |
17647 | Kripke individuates objects by essential modal properties (and presupposes essentialism) [Kripke, by Putnam] |
16995 | Given that a table is made of molecules, could it not be molecular and still be this table? [Kripke] |
17047 | If we imagine this table made of ice or different wood, we are imagining a different table [Kripke] |
11868 | A different piece of wood could have been used for that table; constitution isn't identity [Wiggins on Kripke] |
5450 | For Kripke, essence is origin; for Putnam, essence is properties; for Wiggins, essence is membership of a kind [Kripke, by Mautner] |
17055 | Atomic number 79 is part of the nature of the gold we know [Kripke] |
16997 | An essential property is true of an object in any case where it would have existed [Kripke] |
17045 | De re modality is an object having essential properties [Kripke] |
17030 | Important properties of an object need not be essential to it [Kripke] |
16955 | Kripke says internal structure fixes species; I say it is genetic affinity and a common descent [Kripke, by Dummett] |
16996 | Given that Nixon is indeed a human being, that he might not have been does not concern knowledge [Kripke] |
13971 | Kripke claims that some properties, only knowable posteriori, are known a priori to be essential [Kripke, by Soames] |
12100 | An essence is the necessary properties, derived from an intuitive identity, in origin, type and material [Kripke, by Witt] |
16991 | No one seems to know the identity conditions for a material object (or for people) over time [Kripke] |
11867 | If we lose track of origin, how do we show we are maintaining a reference? [Kripke, by Wiggins] |
12018 | Kripke argues, of the Queen, that parents of an organism are essentially so [Kripke, by Forbes,G] |
17046 | Could the actual Queen have been born of different parents? [Kripke] |
8274 | Socrates can't have a necessary origin, because he might have had no 'origin' [Lowe on Kripke] |
16981 | With the necessity of self-identity plus Leibniz's Law, identity has to be an 'internal' relation [Kripke] |
17044 | A relation can clearly be reflexive, and identity is the smallest reflexive relation [Kripke] |
17036 | Identity statements can be contingent if they rely on descriptions [Kripke] |
17038 | If Hesperus and Phosophorus are the same, they can't possibly be different [Kripke] |
4942 | The indiscernibility of identicals is as self-evident as the law of contradiction [Kripke] |
16999 | A vague identity may seem intransitive, and we might want to talk of 'counterparts' [Kripke] |
11880 | Kripke says his necessary a posteriori examples are known a priori to be necessary [Kripke, by Mackie,P] |
17058 | What many people consider merely physically necessary I consider completely necessary [Kripke] |
4797 | Instead of being regularities, maybe natural laws are the weak a posteriori necessities of Kripke [Kripke, by Psillos] |
4970 | What is often held to be mere physical necessity is actually metaphysical necessity [Kripke] |
17037 | Physical necessity may be necessity in the highest degree [Kripke] |
17059 | Unicorns are vague, so no actual or possible creature could count as a unicorn [Kripke] |
16984 | I don't think possible worlds reductively reveal the natures of modal operators etc. [Kripke] |
4728 | Kripke separates necessary and a priori, proposing necessary a posteriori and contingent a priori examples [Kripke, by O'Grady] |
16990 | A priori = Necessary because we imagine all worlds, and we know without looking at actuality? [Kripke] |
9386 | The meter is defined necessarily, but the stick being one meter long is contingent a priori [Kripke] |
9385 | The very act of designating of an object with properties gives knowledge of a contingent truth [Kripke] |
4960 | "'Hesperus' is 'Phosphorus'" is necessarily true, if it is true, but not known a priori [Kripke] |
4966 | Theoretical identities are between rigid designators, and so are necessary a posteriori [Kripke] |
9174 | It is necessary that this table is not made of ice, but we don't know it a priori [Kripke] |
2408 | Kripke has demonstrated that some necessary truths are only knowable a posteriori [Kripke, by Chalmers] |
13967 | Kripke's essentialist necessary a posteriori opened the gap between conceivable and really possible [Soames on Kripke] |
13970 | Kripke gets to the necessary a posteriori by only allowing conceivability when combined with actuality [Kripke, by Soames] |
4943 | Instead of talking about possible worlds, we can always say "It is possible that.." [Kripke] |
4950 | Possible worlds are useful in set theory, but can be very misleading elsewhere [Kripke] |
16992 | Possible worlds aren't puzzling places to learn about, but places we ourselves describe [Kripke] |
16983 | Probability with dice uses possible worlds, abstractions which fictionally simplify things [Kripke] |
16993 | If we discuss what might have happened to Nixon, we stipulate that it is about Nixon [Kripke] |
16998 | Transworld identification is unproblematic, because we stipulate that we rigidly refer to something [Kripke] |
17001 | A table in some possible world should not even be identified by its essential properties [Kripke] |
4952 | Identification across possible worlds does not need properties, even essential ones [Kripke] |
7761 | Test for rigidity by inserting into the sentence 'N might not have been N' [Kripke, by Lycan] |
7693 | Kripke avoids difficulties of transworld identity by saying it is a decision, not a discovery [Kripke, by Jacquette] |
5821 | Saying that natural kinds are 'rigid designators' is the same as saying they are 'indexical' [Kripke, by Putnam] |
14068 | If Kripke names must still denote a thing in a non-actual situation, the statue isn't its clay [Gibbard on Kripke] |
10436 | A rigid expression may refer at a world to an object not existing in that world [Kripke, by Sainsbury] |
4953 | We do not begin with possible worlds and place objects in them; we begin with objects in the real world [Kripke] |
4961 | It is a necessary truth that Elizabeth II was the child of two particular parents [Kripke] |
9172 | A 'rigid designator' designates the same object in all possible worlds [Kripke] |
9173 | We cannot say that Nixon might have been a different man from the one he actually was [Kripke] |
17003 | Kaplan's 'Dthat' is a useful operator for transforming a description into a rigid designation [Kripke] |
9176 | Modal statements about this table never refer to counterparts; that confuses epistemology and metaphysics [Kripke] |
9221 | The best known objection to counterparts is Kripke's, that Humphrey doesn't care if his counterpart wins [Kripke, by Sider] |
16986 | That there might have been unicorns is false; we don't know the circumstances for unicorns [Kripke] |
8259 | Kripke has breathed new life into the a priori/a posteriori distinction [Kripke, by Lowe] |
16989 | Rather than 'a priori truth', it is best to stick to whether some person knows it on a priori evidence [Kripke] |
4947 | A priori truths can be known independently of experience - but they don't have to be [Kripke] |
17052 | The a priori analytic truths involving fixing of reference are contingent [Kripke] |
13975 | Kripke was more successful in illuminating necessity than a priority (and their relations to analyticity) [Kripke, by Soames] |
17048 | Analytic judgements are a priori, even when their content is empirical [Kripke] |
7510 | Connectionists say the mind is a general purpose learning device [Pinker] |
4948 | Intuition is the strongest possible evidence one can have about anything [Kripke] |
7513 | Is memory stored in protein sequences, neurons, synapses, or synapse-strengths? [Pinker] |
4958 | Identities like 'heat is molecule motion' are necessary (in the highest degree), not contingent [Kripke] |
4969 | I regard the mind-body problem as wide open, and extremely confusing [Kripke] |
7509 | Roundworms live successfully with 302 neurons, so human freedom comes from our trillions [Pinker] |
4967 | It seems logically possible to have the pain brain state without the actual pain [Kripke] |
9177 | Identity theorists must deny that pains can be imagined without brain states [Kripke] |
7430 | Kripke assumes that mind-brain identity designates rigidly, which it doesn't [Armstrong on Kripke] |
7511 | Neural networks can generalise their training, e.g. truths about tigers apply mostly to lions [Pinker] |
7512 | There are five types of reasoning that seem beyond connectionist systems [Pinker, by PG] |
7867 | If consciousness could separate from brain, then it cannot be identical with brain [Kripke, by Papineau] |
3228 | Kripke says pain is necessarily pain, but a brain state isn't necessarily painful [Kripke, by Rey] |
5832 | Identity must be necessary, but pain isn't necessarily a brain state, so they aren't identical [Kripke, by Schwartz,SP] |
4968 | Identity theorists seem committed to no-brain-event-no-pain, and vice versa, which seems wrong [Kripke] |
9178 | Pain, unlike heat, is picked out by an essential property [Kripke] |
19271 | No rule can be fully explained [Kripke] |
19269 | 'Quus' means the same as 'plus' if the ingredients are less than 57; otherwise it just produces 5 [Kripke] |
16383 | Puzzled Pierre has two mental files about the same object [Recanati on Kripke] |
7305 | Kripke's Wittgenstein says meaning 'vanishes into thin air' [Kripke, by Miller,A] |
19270 | If you ask what is in your mind for following the addition rule, meaning just seems to vanish [Kripke] |
17874 | Kripke has a definitional account of kinds, but not of naming [Almog on Kripke] |
16394 | Kripke derives accounts of reference and proper names from assumptions about worlds and essences [Stalnaker on Kripke] |
5822 | The important cause is not between dubbing and current use, but between the item and the speaker's information [Evans on Kripke] |
17033 | We may refer through a causal chain, but still change what is referred to [Kripke] |
4689 | Kripke makes reference a largely social matter, external to the mind of the speaker [Kripke, by McGinn] |
17504 | Kripke's theory is important because it gives a collective account of reference [Kripke, by Putnam] |
17035 | We refer through the community, going back to the original referent [Kripke] |
4956 | A description may fix a reference even when it is not true of its object [Kripke] |
16988 | Descriptive reference shows how to refer, how to identify two things, and how to challenge existence [Kripke, by PG] |
17029 | It can't be necessary that Aristotle had the properties commonly attributed to him [Kripke] |
17032 | Even if Gödel didn't produce his theorems, he's still called 'Gödel' [Kripke] |
11076 | Community implies assertability-conditions rather than truth-conditions semantics [Kripke, by Hanna] |
14893 | Rigid designation creates a puzzle - why do some necessary truths appear to be contingent? [Kripke, by Maciŕ/Garcia-Carpentiro] |
13345 | Sentences are 'analytical' if every sequence of objects models them [Tarski] |
11075 | The sceptical rule-following paradox is the basis of the private language argument [Kripke, by Hanna] |
20407 | Taste is the capacity to judge an object or representation which is thought to be beautiful [Tarski, by Schellekens] |
7505 | Many think that accepting human nature is to accept innumerable evils [Pinker] |
17056 | Terms for natural kinds are very close to proper names [Kripke] |
4963 | The properties that fix reference are contingent, the properties involving meaning are necessary [Kripke] |
17053 | Gold's atomic number might not be 79, but if it is, could non-79 stuff be gold? [Kripke] |
4964 | 'Cats are animals' has turned out to be a necessary truth [Kripke] |
6765 | Nominal essence may well be neither necessary nor sufficient for a natural kind [Kripke, by Bird] |
9387 | The scientific discovery (if correct) that gold has atomic number 79 is a necessary truth [Kripke] |
17054 | Scientific discoveries about gold are necessary truths [Kripke] |
17057 | Once we've found that heat is molecular motion, then that's what it is, in all possible worlds [Kripke] |
4965 | Science searches basic structures in search of essences [Kripke] |
7516 | In 1828, the stuff of life was shown to be ordinary chemistry, not a magic gel [Pinker] |
7515 | All the evidence says evolution is cruel and wasteful, not intelligent [Pinker] |
7514 | Intelligent Design says that every unexplained phenomenon must be design, by default [Pinker] |
17050 | Tigers may lack all the properties we originally used to identify them [Kripke] |
17051 | The original concept of 'cat' comes from paradigmatic instances [Kripke] |
17049 | 'Tiger' designates a species, and merely looking like the species is not enough [Kripke] |