Disputed term/author/ism | Author |
Entry |
Reference |
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Conditional | Tarski | Berka I 405f Conclusion/Entailment/Formal/Everyday Language/Tarski: the formal conclusion does not coincide with the everyday language one. E.g. A0: 0 has the given property P A1: 1 has the given property P, etc. An: n has the given property P - with normal rules of inference it is impossible to prove the following proposition with this: A: Every natural number has the given property P - Solution: new rule of inference: infinite induction. Problem: infiniteness. Solution: provability rather than actual evidence. >Provability, >Proofs. Berka I 407 Inference/Entailment/Gödel: Problem: statements can be constructed that follow in the usual sense from the sentences of a theory, but which cannot be proven with the rules of inference. Berka I 409 Def Logical Conclusion/Tarski: the statement X logically follows from the statements of the class K iff. each model of class K is at the same time a model of the statement X. I 410 Def of the logical conclusion has to do with the division into logical and extra-logical concepts - which is arbitrary.(1) Cf. >Extensional language, >Extensions, >Extensionality, >Formalization, >Everyday language. 1. A.Tarski, „Über den Begriff der logischen Folgerung“, in: Actes du Congrès International de Philosophie Scientifique, Paris 1935, Bd. VII, ASI 394, Paris 1936, pp 1-11 |
Tarski I A. Tarski Logic, Semantics, Metamathematics: Papers from 1923-38 Indianapolis 1983 Berka I Karel Berka Lothar Kreiser Logik Texte Berlin 1983 |
Convention T | Davidson | Glüer II 37 Convention T/Davidson: says that a theory must be translating (translational). ((s) Problem: sentences like "snow is white" and "grass is green" are equivalent.) >Disquotation scheme. Glüer II 38 Convention T allows only extensional language. >Extensionality. II 22 Def " Convention T " /Tarski/Glüer: "A definition of "true" formulated in the metalanguage is factually correct if all the sentences that can be derived from the schema follow from it. S is true, just when p is obtained by inserting a name of any sentence in the object language for the symbol "S" and the translation of this sentence into the meta language for the symbol "p". The convention T tests whether a definition of truth for a language L correctly determines the extension of the predicate "true in L". Neither the convention T nor the "T-equivalences" may be confused with the definition of truth itself. >Truth definition. II 28 Def T-equivalence/DavidsonVsTarski/Glüer : simply true exactly when the linked propositions have the same truth value under all circumstances. The right side does not have to be a translation of the left side. If, on the other hand, a translation would be required, then 1. the circumstances under which the W-equivalences are true are not arbitrary, and 2. the searched meaning would already be presupposed. Def Convention T*/new/Davidson/Glüer: A T-theory formulated in the meta language for an object language L is appropriate if all the sentences that can be derived from the schema (T) S is true gdw. p is obtained by using for the symbol "S" a designation of any proposition of the object language and for the symbol "p" a proposition of the meta language, which is true exactly when S is it. Glüer: here are equivalences, which are not required to translate the sentence on the right the sentence on the left, true iff. II 29 the linked sentences have the same truth value under all circumstances. DavidsonVsTarski/Glüer: Whoever wants to apply Davidson's reinterpreted convention T* must therefore know when T equivalences are true. TarskiVsDavidson: with Tarski, you need to know the meaning of both object and meta-language sentences. ((s) To be able to judge whether there is a correct translation). T-predicate/Davidson/Glüer: for Davidson, on the other hand, the T predicate must be interpreted. Davidson/Glüer: thus presupposes a prior understanding of the concept of truth. Truth/Interpretation/Translation/DavidsonVsTarski/Glüer: a G-theory that fulfils the (new) convention G* can be read as an interpretation theory: it implies for each proposition S of the object language L a T-equivalence derived from its structure, the right side of which indicates the truth conditions under which S is true. >Truth predicate, >Object language, >Metalanguage. |
Davidson I D. Davidson Der Mythos des Subjektiven Stuttgart 1993 Davidson I (a) Donald Davidson "Tho Conditions of Thoughts", in: Le Cahier du Collège de Philosophie, Paris 1989, pp. 163-171 In Der Mythos des Subjektiven, Stuttgart 1993 Davidson I (b) Donald Davidson "What is Present to the Mind?" in: J. Brandl/W. Gombocz (eds) The MInd of Donald Davidson, Amsterdam 1989, pp. 3-18 In Der Mythos des Subjektiven, Stuttgart 1993 Davidson I (c) Donald Davidson "Meaning, Truth and Evidence", in: R. Barrett/R. Gibson (eds.) Perspectives on Quine, Cambridge/MA 1990, pp. 68-79 In Der Mythos des Subjektiven, Stuttgart 1993 Davidson I (d) Donald Davidson "Epistemology Externalized", Ms 1989 In Der Mythos des Subjektiven, Stuttgart 1993 Davidson I (e) Donald Davidson "The Myth of the Subjective", in: M. Benedikt/R. Burger (eds.) Bewußtsein, Sprache und die Kunst, Wien 1988, pp. 45-54 In Der Mythos des Subjektiven, Stuttgart 1993 Davidson II Donald Davidson "Reply to Foster" In Truth and Meaning, G. Evans/J. McDowell Oxford 1976 Davidson III D. Davidson Essays on Actions and Events, Oxford 1980 German Edition: Handlung und Ereignis Frankfurt 1990 Davidson IV D. Davidson Inquiries into Truth and Interpretation, Oxford 1984 German Edition: Wahrheit und Interpretation Frankfurt 1990 Davidson V Donald Davidson "Rational Animals", in: D. Davidson, Subjective, Intersubjective, Objective, Oxford 2001, pp. 95-105 In Der Geist der Tiere, D Perler/M. Wild Frankfurt/M. 2005 D II K. Glüer D. Davidson Zur Einführung Hamburg 1993 |
Extensionality | Extensionality, philosophy: (also extensionality principle, extensionality thesis) an attempt to make the language distinct by taking complete sets of denoted objects as the meaning of the referring words. See also extensions, intensions, extensional language, ambiguity, propositional attitudes. |
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Extensionality | Carnap | VI XXI Extensional method/ extensional language/Carnap: self-criticism (1961)(1): random extension equality (scope equality) of terms is not sufficient. - It must be necessary equality. Extensionality thesis/ Carnap: all statements are extensional. Later (1961)(1) weaker: every non-extensional statement is translatable into a logically equivalent statement in an extensional language. >Extensions, >Intensions. 1. R. Carnap und W.V.O. Quine. 1961. Dear Carnap, Dear Van. Reprint: University of California Press 1990. https://doi.org/10.1525/9780520909823-033 |
Ca I R. Carnap Die alte und die neue Logik In Wahrheitstheorien, G. Skirbekk (Hg) Frankfurt 1996 Ca II R. Carnap Philosophie als logische Syntax In Philosophie im 20.Jahrhundert, Bd II, A. Hügli/P.Lübcke (Hg) Reinbek 1993 Ca IV R. Carnap Mein Weg in die Philosophie Stuttgart 1992 Ca IX Rudolf Carnap Wahrheit und Bewährung. Actes du Congrès International de Philosophie Scientifique fasc. 4, Induction et Probabilité, Paris, 1936 In Wahrheitstheorien, Gunnar Skirbekk Frankfurt/M. 1977 Ca VI R. Carnap Der Logische Aufbau der Welt Hamburg 1998 CA VII = PiS R. Carnap Sinn und Synonymität in natürlichen Sprachen In Zur Philosophie der idealen Sprache, J. Sinnreich (Hg) München 1982 Ca VIII (= PiS) R. Carnap Über einige Begriffe der Pragmatik In Zur Philosophie der idealen Sprache, J. Sinnreich (Hg) München 1982 |
Extensionality | Hintikka | II 76 Extensional Language/Hintikka: extensional language makes much less assumptions than the semantics of possible worlds. Namely just the referents from the actual world. >Possible world semantics, >Possible worlds, >Actualism, >Extensions; cf. >Intensions, >Intensionality. |
Hintikka I Jaakko Hintikka Merrill B. Hintikka Investigating Wittgenstein German Edition: Untersuchungen zu Wittgenstein Frankfurt 1996 Hintikka II Jaakko Hintikka Merrill B. Hintikka The Logic of Epistemology and the Epistemology of Logic Dordrecht 1989 |
Extensionality | Lewis | IV 255 Extensional language/Lewis: here we assume a language that is dexactly like the intensional one - only that there is an inaudible pause before each sentence - this corresponds to a q, which is the only (sentence-forming) predicate of the extensional language - then the intensional language Li be rich, while the corresponding extensional language Le is strictly extensional. --- IV 256 Then two field linguists could argue whether the natives speak an extensional or intensional language. >Example of the field linguists. |
Lewis I David K. Lewis Die Identität von Körper und Geist Frankfurt 1989 Lewis I (a) David K. Lewis An Argument for the Identity Theory, in: Journal of Philosophy 63 (1966) In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis I (b) David K. Lewis Psychophysical and Theoretical Identifications, in: Australasian Journal of Philosophy 50 (1972) In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis I (c) David K. Lewis Mad Pain and Martian Pain, Readings in Philosophy of Psychology, Vol. 1, Ned Block (ed.) Harvard University Press, 1980 In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis II David K. Lewis "Languages and Language", in: K. Gunderson (Ed.), Minnesota Studies in the Philosophy of Science, Vol. VII, Language, Mind, and Knowledge, Minneapolis 1975, pp. 3-35 In Handlung, Kommunikation, Bedeutung, Georg Meggle Frankfurt/M. 1979 Lewis IV David K. Lewis Philosophical Papers Bd I New York Oxford 1983 Lewis V David K. Lewis Philosophical Papers Bd II New York Oxford 1986 Lewis VI David K. Lewis Convention. A Philosophical Study, Cambridge/MA 1969 German Edition: Konventionen Berlin 1975 LewisCl Clarence Irving Lewis Collected Papers of Clarence Irving Lewis Stanford 1970 LewisCl I Clarence Irving Lewis Mind and the World Order: Outline of a Theory of Knowledge (Dover Books on Western Philosophy) 1991 |
Intensionality | Lewis | IV 251 Intensional language/compositionality/Lewis: here for intensional language: here it applies only to intensions, not to extensions. - Tradition: knew only extensional languages. - Intensional language: extensions depend on the context. Cf. >extensionality, >intensions. --- IV 253 New: Intension-determining rules - allow composite modal operators and quantifiers. - If only intensional rules, the extensions disappear - then we only have semantic values of one level instead of two. --- IV 257 Intensional language: here teh sub-sentences are only S names (sentence names without truth value), no sentences. --- IV 260 Intensional language/extensional/Lewis: the difference is so hard to grasp that it hardly makes a difference which we use. - Greater difference: if a language can be formally analyzed or not. - Ontology: for it, it is only important whether suspect entities have to be assumed - which does not coincide with the difference internal/external. |
Lewis I David K. Lewis Die Identität von Körper und Geist Frankfurt 1989 Lewis I (a) David K. Lewis An Argument for the Identity Theory, in: Journal of Philosophy 63 (1966) In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis I (b) David K. Lewis Psychophysical and Theoretical Identifications, in: Australasian Journal of Philosophy 50 (1972) In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis I (c) David K. Lewis Mad Pain and Martian Pain, Readings in Philosophy of Psychology, Vol. 1, Ned Block (ed.) Harvard University Press, 1980 In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis II David K. Lewis "Languages and Language", in: K. Gunderson (Ed.), Minnesota Studies in the Philosophy of Science, Vol. VII, Language, Mind, and Knowledge, Minneapolis 1975, pp. 3-35 In Handlung, Kommunikation, Bedeutung, Georg Meggle Frankfurt/M. 1979 Lewis IV David K. Lewis Philosophical Papers Bd I New York Oxford 1983 Lewis V David K. Lewis Philosophical Papers Bd II New York Oxford 1986 Lewis VI David K. Lewis Convention. A Philosophical Study, Cambridge/MA 1969 German Edition: Konventionen Berlin 1975 LewisCl Clarence Irving Lewis Collected Papers of Clarence Irving Lewis Stanford 1970 LewisCl I Clarence Irving Lewis Mind and the World Order: Outline of a Theory of Knowledge (Dover Books on Western Philosophy) 1991 |
Possible Worlds | Hintikka | II 74 Possible Worlds/VsSemantics of Possible Worlds/Hintikka: problem: possible worlds seem to take the worlds and complete sets of possibilia as self-evident. Possible Worlds/Leibniz: thesis: there is a determined set of worlds among which God makes a selection. >Possible worlds/Leibniz. HintikkaVsLeibniz: that is extremely doubtful. Possible Worlds/Hintikka: we should rather call it world stories or scenarios. II 75 We can limit the set of worlds to those that are conceivable. Semantics of Possible Worlds/Hintikka: one can build a theory of questions and answers on the semantics of possible worlds. >Questions/Hintikka, >Answers/Hintikka. II 76 This is about what is possible in more than one world. For this, we must assume much more than is assumed in an extensional language. Reference/semantics of possible worlds: here it is not enough to accept only the referents which have our expressions in the actual world. II 196 Possible World/individual area/HintikkaVsKripke: one should not demand that the individuals must remain the same when changing from world to world. The talk of worlds is empty, if there are no possible experiences that could make them different. Possible Worlds/Hintikka: possible worlds should be best determined as by the connected possible totals of experience. And then separation cannot be ruled out. >Cross world identity, >Centered worlds. |
Hintikka I Jaakko Hintikka Merrill B. Hintikka Investigating Wittgenstein German Edition: Untersuchungen zu Wittgenstein Frankfurt 1996 Hintikka II Jaakko Hintikka Merrill B. Hintikka The Logic of Epistemology and the Epistemology of Logic Dordrecht 1989 |
Ramsey Sentence | Lewis | IV 78 Ramsey-sentence/Lewis: eliminates theoretical terms in favor of bound variables. >Theoretical term/Lewis, >Bound variable. Carnap conditional: then divides the theory into two parts: a) analytical part of the theory: partial interpretation of the theoretical terms b) synthetic part: the theoretical terms are eliminated here. >Carnap-conditional. IV 81 Ramsey-sentence/Lewis: says nothing more than that the theory is implemented. - Carnap sentence: is neutral as to whether it is implemented. Carnap sentence is a conditional of the Ramsey sentence and of the postulate of the theory 1) the postulate: is logically equivalent to the conjunction of Ramsey and Carnap sentence 2) the Ramsey sentence and the postulate imply exactly the same sentences in old theory 3) Carnap sentence implies no sentences of the old theory except logical truths. Ramsey sentence: could simply replace the postulate (the new theory in a sentence). Carnap: proposes to take the Ramsey sentence as synthetic postulate of T and the Carnap sentence as an analytical postulate of T - They share the work of the original postulate. Postulate/Carnap: systematized the O sentences (old theory) and partially interpreted the theoretical terms. IV 89 Ramsey-sentence/Lewis: states that a theory has at least one implementation - this is weaker than our extended postulate/Lewis: this implies that the theory has been implemented once. IV 259 Ramsey-sentence/Lewis: wipes out the difference between intensional and extensional language - at the same time it eliminates technical vocabulary by existential quantification. >Extension, >Intension, >Existential quantification. "Ramsification" neutral level: there is a system of categories, S, N, X/Y, there are three relationships of expressions to things: A-tension, B-tension, C-tension. --- Schwarz I 218 Ramsey-sentence/Lewis/Schwarz: E.g. banana theory: there are things that are long-ish yellow fruits (can turn out to be wrong) - Carnap-conditional: if there are things that are long-ish ..., then bananas are long-ish ...- cannot turn out to be wrong (is analytical). >Analyticity/syntheticity. |
Lewis I David K. Lewis Die Identität von Körper und Geist Frankfurt 1989 Lewis I (a) David K. Lewis An Argument for the Identity Theory, in: Journal of Philosophy 63 (1966) In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis I (b) David K. Lewis Psychophysical and Theoretical Identifications, in: Australasian Journal of Philosophy 50 (1972) In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis I (c) David K. Lewis Mad Pain and Martian Pain, Readings in Philosophy of Psychology, Vol. 1, Ned Block (ed.) Harvard University Press, 1980 In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis II David K. Lewis "Languages and Language", in: K. Gunderson (Ed.), Minnesota Studies in the Philosophy of Science, Vol. VII, Language, Mind, and Knowledge, Minneapolis 1975, pp. 3-35 In Handlung, Kommunikation, Bedeutung, Georg Meggle Frankfurt/M. 1979 Lewis IV David K. Lewis Philosophical Papers Bd I New York Oxford 1983 Lewis V David K. Lewis Philosophical Papers Bd II New York Oxford 1986 Lewis VI David K. Lewis Convention. A Philosophical Study, Cambridge/MA 1969 German Edition: Konventionen Berlin 1975 LewisCl Clarence Irving Lewis Collected Papers of Clarence Irving Lewis Stanford 1970 LewisCl I Clarence Irving Lewis Mind and the World Order: Outline of a Theory of Knowledge (Dover Books on Western Philosophy) 1991 Schw I W. Schwarz David Lewis Bielefeld 2005 |
Terminology | Lewis | Bigelow I 180 Definition Lagadonian Language/Lagadonian/Terminology/Swift/Lewis/Bigelow/Pargetter: by this name Lewis calls such a language, following Gulliver's travels. (1986a(1), p. 145). It is a set theoretical structure on individuals, characteristics, and relations. 1. Lewis, David 1986a. Philosophical Papers, Volume II, Oxford: Oxford University Press Schwarz I 97 Properties/Lewis/Schwarz: Definition intrinsic property: never differ between perfect duplicates. Duplicate: Defined not by sum, but by distribution of the perfectly natural property. Def Perfectly natural property: (PNP) = fundamental property: all qualitative intrinsic differences between things (also possible worlds) are based on their instantiation. - E.g. Fred is the tallest in his family, but his duplicate is not in his family. - that depends on distribution of intrinsic properties: if we duplicate the entire family, the duplicate is sure to be the tallest there as well. IV 58 Relation/individuation/Lewis: Relations are usually individuated through coextension. I-Relation/R-Relation/Lewis: These two relations are identical because they are coextensive. Def R-Relation/Identity/Continuity/Person/Lewis: a certain relation and connection among person states. Question: What conditions will survive the state in which you ask yourself this question? For example, if you walk out of a duplicator, who will you be, who will come out of the right or left door, or both? Def I-Relation/Lewis: Question: Which of the permanent persons are identical to the former? But of course there are also I-relations between the individual states! IV 259 Ramsey-sentence/Lewis: wipes out the difference between intensional and extensional language - at the same time it eliminates technical vocabulary by existential quantification. "Ramsification" neutral level: there is a system of categories, S, N, X/Y, there are three relationships of expressions to things: A-tension, B-tension, C-tension. I (b) 27 Theoretical Terms/TT/Lewis: (T terms) are names, not predicates or functions. I (b) 31 They can always be eliminabted by being replaced by their definientia. I (b) 34 Here: the T terms are names of mental states, the A terms are names for stimuli and responses and also for causal relationships. Theoretical terms: (T terms) are names, not predicates or functions. V 11 Compatibility/Possible world/Lewis: B is compatible with A in world i if an A world is closer to i than any non-B-world. - (Reversal of rather true) - then A were>>would C is true if C follows from A together with auxiliary hypotheses B1...Bn. - E.g. natural laws are compatible or completely incompatible with every assumption - thesis: then laws of nature are generalizations of what we consider to be particularly important. - Then conformity with Laws of Nature should be important for the similarity relation between possible worlds V 86 Principal Principle/main principle/probability/opportunity/Lewis: the Principal Principle is to be modeled according to our experience with direct conclusions. Exceptions: 1) it is about opportunity, not frequency. 2) Certainty of probabilities (opportunities) contributes to the resilience (resistance to new information). Schwarz I 99 Relations/Lewis: intrinsic: e.g., greater-relation (concerns only the two sides). Extrinsic: e.g. grandmother-relation (needs a third). Internal relation: (not equal to intrinsic relation): depends only on intrinsic properties and is reducible to them. External relation: is also intrinsic, but just not reducible. E.g., Spatiotemporal relation: "intrinsic with respect to pairs". Identity/partial relation/elementarity/Lewis: These are all no relations! |
Lewis I David K. Lewis Die Identität von Körper und Geist Frankfurt 1989 Lewis I (a) David K. Lewis An Argument for the Identity Theory, in: Journal of Philosophy 63 (1966) In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis I (b) David K. Lewis Psychophysical and Theoretical Identifications, in: Australasian Journal of Philosophy 50 (1972) In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis I (c) David K. Lewis Mad Pain and Martian Pain, Readings in Philosophy of Psychology, Vol. 1, Ned Block (ed.) Harvard University Press, 1980 In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis II David K. Lewis "Languages and Language", in: K. Gunderson (Ed.), Minnesota Studies in the Philosophy of Science, Vol. VII, Language, Mind, and Knowledge, Minneapolis 1975, pp. 3-35 In Handlung, Kommunikation, Bedeutung, Georg Meggle Frankfurt/M. 1979 Lewis IV David K. Lewis Philosophical Papers Bd I New York Oxford 1983 Lewis V David K. Lewis Philosophical Papers Bd II New York Oxford 1986 Lewis VI David K. Lewis Convention. A Philosophical Study, Cambridge/MA 1969 German Edition: Konventionen Berlin 1975 LewisCl Clarence Irving Lewis Collected Papers of Clarence Irving Lewis Stanford 1970 LewisCl I Clarence Irving Lewis Mind and the World Order: Outline of a Theory of Knowledge (Dover Books on Western Philosophy) 1991 Big I J. Bigelow, R. Pargetter Science and Necessity Cambridge 1990 Schw I W. Schwarz David Lewis Bielefeld 2005 |
Disputed term/author/ism | Author Vs Author |
Entry |
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Carnap, R. | Carnap Vs Carnap, R. | VI VII Extensionality thesis/Carnap: (1928): all statements are extensional. Self-criticism CarnapVsCarnap: (1961) is not correct in this form. New: weaker form: not every extensional statement is translatable into a logically equivalent statement in an extensional language. Extensional method/Carnap: is basically just to use an extensional language for the whole constitutional system. Self-criticism: (1961) that is not clear: the impression could arise that for the validity of the re-construction of the concept A through a term B it was already sufficient for that B to have the same scope as A. Vs: in reality, the stronger condition must be satisfied that scope equality is not just a coincidence, but a necessity! (Because of logical rules or laws of nature). |
Ca I R. Carnap Die alte und die neue Logik In Wahrheitstheorien, G. Skirbekk (Hg) Frankfurt 1996 Ca II R. Carnap Philosophie als logische Syntax In Philosophie im 20.Jahrhundert, Bd II, A. Hügli/P.Lübcke (Hg) Reinbek 1993 Ca IV R. Carnap Mein Weg in die Philosophie Stuttgart 1992 Ca IX Rudolf Carnap Wahrheit und Bewährung. Actes du Congrès International de Philosophie Scientifique fasc. 4, Induction et Probabilité, Paris, 1936 In Wahrheitstheorien, Gunnar Skirbekk Frankfurt/M. 1977 Ca VI R. Carnap Der Logische Aufbau der Welt Hamburg 1998 CA VII = PiS R. Carnap Sinn und Synonymität in natürlichen Sprachen In Zur Philosophie der idealen Sprache, J. Sinnreich (Hg) München 1982 Ca VIII (= PiS) R. Carnap Über einige Begriffe der Pragmatik In Zur Philosophie der idealen Sprache, J. Sinnreich (Hg) München 1982 |
Extensional Language | Prior Vs Extensional Language | I 96 Operator/Sentence Variable/Functor/Sentence Operator/Propositional Operator/Prior: "δ" in (E) forms sentences from sentences, "φ" in (D) forms sentences only from names it cannot have both sentences and names as an argument. "N" cannot have names as an argument. ((s) Russell: names or objects cannot be negated). PriorVsCohen: therefore, there is no possibility for our simplification of (F) in his system. I 96 PriorVsCohen/PriorVsExtensional Language: E.g. brown cow: in his axioms it is not essential that the pregnant animal should be a brown cow, it is not mentioned in the evidence. Paradox like in the foreword: no use is made here of the assumption that ψx, i.e. something in the book is wrong. I 97 Despite the large difference this makes, it could simply be omitted. The other constituents do all the work. I.e. it would make no difference for Cohen's theorem whether the thing in the book did not mean that something in the book is wrong, but that it meant that the sky is blue, for example. The only thing that is necessary is that the thing in the book should be true iff. something in the book is wrong and that it is not determined by ψx, but by the other component: ETx∑yKφyNTy. It is strange that the two components are indeed absolutely irrelevant for each other! For Cohen, it would be the same if we wrote: "For an x, x means that the sky is blue, and x is true iff. grass is green." Reason: "iff." is an extensional propositional function. PriorVsCohen/PriorVsExtensional Language/Extensionality: but it would be extremely strange if you wanted to say "the book says that grass is green." (If in fact you only mean that the book contains a true statement). But that is indeed the reason why this extra determination occurs in Cohen's symbolism. (ψx). PriorVsCohen: my theorems (A) through (G) apply no matter what statement functions we insert for δ, both extensional and intensional. E.g. if we leave "δ": "it is not the case that __" or "grass is green and __", we still have Cd∑pKδpNp∑pKδpNp. For all these theorems tell us that there could possibly only be extensional statement functions! |
Pri I A. Prior Objects of thought Oxford 1971 Pri II Arthur N. Prior Papers on Time and Tense 2nd Edition Oxford 2003 |
Extensionalism | Verschiedene Vs Extensionalism | Lewis IV 256 Lewis: I really do not know what the Intensionalist (I) Vs Extensionalism (E) should say! I know several unsatisfactory arguments. ("I" in the English text also for "I, Lewis") (in vain) Vs Extensionalism: 1. one could say that the extensionalism is more complicated. It needs two more categories and one more lexicon object. VsVs: this is bad for two reasons: a) Extensionality itself is generally regarded as an important dimension of simplicity. b) I agree with E that a complete approach must also take into account the speaker's pause at the beginning of the sentence. E has already done this with its syntax and semantics! The intensionalist still has to find a place for it. (in vain) Vs Extensionalism: 2. One could object that it goes against our paradigm that extensions must be shared: Example "Boston" simply names Boston and not instead a function of indices. Problem: this paradigm applies to English, Polish, German, etc. but not necessarily to unexplored indigenous languages. Even if the intensionalist suspected that the language is very related to ours, one cannot expect E to agree that the paradigms are applicable! For E and I do not agree which language is theirs! Tarski's convention W: does not help here: because the native language does not correspond by the way not uncontroversially to our metalanguage of their language. Therefore the only versions of these principles that are applicable are stated in translations of these terms. Example E and I may agree that a meta-linguistic sentence of the form "_____ designates ___ in their language" or IV 256/257 "_____ is a name that has ____ as an extension in your language." should be true whenever the first blank space is filled with a name (in our language) with a name of the native language and the second with a translation of into our language. But that does not lead us anywhere, because we do not agree at all about names and what their correct translations are! (in vain) Vs Extensionalism: 3. I could try to argue that native language cannot be extensional because in it some inference patterns are invalid that are valid in any extensional language. For example, identity: inferences with Leibniz's identity (Leibniz' Law) or existential generalization lead from true premises to false conclusions in native language. Extensionalist/VsLewis: should agree that Leibniz's law receives truth in every extensional language and that it is not preserved in my counter-examples (which?). But he should not agree that such inferences are cases of Leibniz identity! Identity/Leibniz/Lewis: an inference with Leibniz' law needs an identity premise and how to identify it? Not by looking at three or four horizontal lines! Semantic: an expression with two gaps expresses identity, if and only if 1. the result of inserting names into the gaps is a sentence, 2. the sentence thus formed is true if the names are coextensive, otherwise false. Def Identity Premise: is a sentence thus formed. Problem: since E and I disagree on what the coextensive names are, they disagree on what the expressions are that express identity, which propositions are the identity premises, and which inferences are real instances of Leibniz's law. We are ignoring the difference of opinion here about whether a phrase S must be introduced by a pause to be a sentence at all. To be precise, if ",/so " is a non truth-preserving inference in Li, then " ,/so " is a non truth-preserving inference in Le. The original version without is no inference at all in Le, because its "premises" and "conclusions" are S names and not sentences. ((s) Extensional Language/(s): how is it possible at all, if no predicates (properties) are allowed - then is not the form subject predicate at all?) Vs: the form is then: a is an element of the set B. (in vain) VsExtensionalism: 4. I could argue ad hominem that E has not really escaped intentionality because the things he takes as extensions are intensional entities. Functions of indices to truth values are usually identified with propositions (especially if the indices consist of possible worlds and little more). And these functions are identified equally with individual terms. How can such intensional entities then be extensions? LewisVsVs: this is just a mix-up! Intension is relational! ((s) It depends on the consideration whether something is an intension or an extension). Intensions are things ((s) entities) that play a certain role in semantics and not things of a certain sort. E and I agree that in a suitable language the same thing that is the intention of one expression is also the extension of another. For example, when we speak technical English in a fragment that is suitable as the meta-meta-language of a smaller fragment, we agree that one and the same thing is both, the intention of expression in the object language "my hat" IV 258 and the extension of the metaphorical expression "intension of "my hat"". ((s) The same thing, not the same expression). Lewis: the thing itself is neither extension nor intension. It is true that some entities can only serve as extensions, while other functions of indices can serve as both. But there is no thing that would be unsuitable to be an extension. Ontology/(in vain) Vs Extensionalism: 5. one might think that the extensionalist attributes an extravagant ontology to the natives: For example, if the intensionalist says that a word of the natives designates a concrete material mountain, then E says he designates something more esoteric: a set-theoretical object, formed from a realm of individuals that includes unrealized possibilities. But also E and I believe in esoteric things if they do not want to contradict themselves. We have no doubt that we can name them. We agree that the natives have names for even more far-fetched things like gods (according to the Intensionalist) or functions of indices to such gods (according to the Extensionalist). Ontology/Vs Extensionalism: I should perhaps argue better that certain unesoteric things are missing! Ontology/Kripke: (conversational, 1972): it is wrong to attribute to someone an ontology that contains sets without elements or functions without arguments and values, etc. LewisVsVs: this is a plausible principle. But did E violate it by saying that the names of the natives are functions of indices and not names of concrete things? I do not think so. The ascribed ontology is not the same as the ascribed set of name carriers. For example, if our language is attributed an ontology, it contains all natural numbers, not just the small minority of them that actually bear names! It is not significant that the amount of name carriers violates Kripke's closure principle unless it can be shown that this is the totality of the attributed ontology. But it is difficult to say what ontology, if any, is attributed by the use of Le. One should look at the range of quantifiers, but Le has no quantifiers at all! Quantifiers: make sentences. But in Le only the predicate does that and that is not a quantifier. The transformation Lp of Parsons is different: it has a range. The set D, so that we get intended truth conditions for the propositions of Lp that transform the propositions of Li, then and only when D is included in the range of bound variables. (This assumes that the predicates of Lp have intended interpretations). The set D is the same as the set of extensions of expressions in Le. It violates Kripke's closing principle ((s) that no empty sets should be attributed, see above), so it cannot be attributed to anyone as ontology. ((s) because there are no bound variables in Le.). I.e. if an extensionalist claims that the native speaks Lp, veiled by transformations, we have a remedy against him. But E himself does not represent that! Perhaps one can show that if it is bad to attribute the use of Lp, IV 259 that it is also bad to attribute the use of Le? But I do not see that yet. |
Lewis I David K. Lewis Die Identität von Körper und Geist Frankfurt 1989 Lewis I (a) David K. Lewis An Argument for the Identity Theory, in: Journal of Philosophy 63 (1966) In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis I (b) David K. Lewis Psychophysical and Theoretical Identifications, in: Australasian Journal of Philosophy 50 (1972) In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis I (c) David K. Lewis Mad Pain and Martian Pain, Readings in Philosophy of Psychology, Vol. 1, Ned Block (ed.) Harvard University Press, 1980 In Die Identität von Körper und Geist, Frankfurt/M. 1989 Lewis II David K. Lewis "Languages and Language", in: K. Gunderson (Ed.), Minnesota Studies in the Philosophy of Science, Vol. VII, Language, Mind, and Knowledge, Minneapolis 1975, pp. 3-35 In Handlung, Kommunikation, Bedeutung, Georg Meggle Frankfurt/M. 1979 Lewis IV David K. Lewis Philosophical Papers Bd I New York Oxford 1983 Lewis V David K. Lewis Philosophical Papers Bd II New York Oxford 1986 Lewis VI David K. Lewis Convention. A Philosophical Study, Cambridge/MA 1969 German Edition: Konventionen Berlin 1975 LewisCl Clarence Irving Lewis Collected Papers of Clarence Irving Lewis Stanford 1970 LewisCl I Clarence Irving Lewis Mind and the World Order: Outline of a Theory of Knowledge (Dover Books on Western Philosophy) 1991 |
Foster, J.A. | Hintikka Vs Foster, J.A. | EMD II 15 FostersVsDavidson: a truth theory is no longer truly interpreting for all languages if that what the elements designate exceeds that which is relevant to the truth. These languages include at least all extensional languages for which L is typical. VsFoster: there are at least 4 ways to attack this view: 1) HintikkaVsFoster: (correspondingly): Foster reads more meaning into an extensional language that its simple syntax allows. In such a language, the meaning of the elements does not exceed their truth-relevant designation function. The additional conditions cited by Foster ("the earth moves and...") are more of an extensional fragment of a richer, non-extensional language. 2) VsFoster: no natural language could ever be purely extensional, a language needs propositional attitudes, and these are attributed non-extensionally. 3) VsFoster: (weaker): even if there may be a purely extensional languages, all known natural languages are non-extensional. I.e. Foster’s conclusions have little relevance. 4) VsFoster: if the method of truth theory sufficed for a certain type of non-extensional language, we can easily adapt it to an extensional language by constructing the theory only for a hypothetical non-extensional language of which this language would be a fragment. Common denominator of this criticisms VsVsDavidson: that the peculiarity of the language with which Davidson’s theory is tested was not grasped. |
Hintikka I Jaakko Hintikka Merrill B. Hintikka Investigating Wittgenstein German Edition: Untersuchungen zu Wittgenstein Frankfurt 1996 Hintikka II Jaakko Hintikka Merrill B. Hintikka The Logic of Epistemology and the Epistemology of Logic Dordrecht 1989 EMD II G. Evans/J. McDowell Truth and Meaning Oxford 1977 Evans I Gareth Evans "The Causal Theory of Names", in: Proceedings of the Aristotelian Society, Suppl. Vol. 47 (1973) 187-208 In Eigennamen, Ursula Wolf Frankfurt/M. 1993 Evans II Gareth Evans "Semantic Structure and Logical Form" In Truth and Meaning, G. Evans/J. McDowell Oxford 1976 Evans III G. Evans The Varieties of Reference (Clarendon Paperbacks) Oxford 1989 |
Hintikka, J. | Foster Vs Hintikka, J. | I 16 FosterVsHintikka: if we accept that an extensional language by our means can provide all the provisions of a natural language, its objection loses plausibility. It is absurd to assume that the erroneous interpretations do not come to an end. For if extensionality as such does not limit descriptive resources, it does not limit the kind of empirical evidence that is relevant to interpretation. |
Foster I John A. Foster "Meaning and Truth Theory" In Truth and Meaning, G. Evans/J. McDowell Oxford 1976 |
Possible World Sem. | Hintikka Vs Possible World Sem. | II 74 Cross World Identity/Cross World Identification/Identity/Identification/Individuation/Hintikka: is the main problem of the possible worlds semantics/semantics of possible worlds. This is also about the relation between individuation and identification. VsPossible Worlds Semantics/Hintikka: problem: it seems to absolutize possible worlds and complete sets of possibilia II 75 Possible Worlds Semantics/Hintikka: on it you can build a theory of questions and answers. I 76 This is about what is possible in more than one world. For this, we must assume much more than is assumed in an extensional language. Reference/Possible Worlds Semantics: here it is not enough to assume only those references that have our expressions in the actual world. Extensional Language/Hintikka: assumes much less than possible worlds semantics. Namely, only the references from the real world. World Line/Hintikka: is used here for identification (or re-identification) between possible worlds. I 77 VsPossible Worlds Semantics/Hintikka: some authors: the drawing of the world lines is too dependent on the context of use and other pragmatic factors, much more so than in other semantics of natural language. II 205 Possible Worlds Semantics/Hintikka: does not need any conception of possible worlds as complete cosmological worlds, but only "small worlds", more like event histories or situations, I also speak of "scenarios". Possible Worlds/Hintikka: the term is misleading if you conceive it as complete worlds. Cross World Identification/Cross Identification/Perception/Hintikka: here we must assume situations when it comes to perceptual identification. Because there must be a perceiver in them, and the different situations (possible worlds) must share the perception space of the subject. Possible Worlds Semantics/Perception/HintikkaVsPossible Worlds Semantics: has overlooked this point. Situation/Possible World Semantics/Hintikka. In addition, the possible worlds semantics should study the relations between smaller and larger situations. I 206 Descriptive Cross World Identification/By Way of Description/Hintikka: descriptive identification should take place between parts of the world which are larger than the current perceptual cross identification. I.e. a comparison between "major" and "minor" situations. Situation Semantics/Barwise/Perry/B/P/Hintikka: their situations semantics is a welcome addition to the possible worlds semantics. Situation/Hintikka: an interesting question is how small egocentric situations can be put together to give a larger comprehensive "worldview". Relations: there should be at least three types of relations between situations: 1) spatial 2) temporal 3) the distinction between fine-grained and coarse-grained situations. It is best to study them insulated from each other. |
Hintikka I Jaakko Hintikka Merrill B. Hintikka Investigating Wittgenstein German Edition: Untersuchungen zu Wittgenstein Frankfurt 1996 Hintikka II Jaakko Hintikka Merrill B. Hintikka The Logic of Epistemology and the Epistemology of Logic Dordrecht 1989 |
Disputed term/author/ism | Pro/Versus |
Entry |
Reference |
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Extensional Language | Pro | Fraassen I 67 Theory / Fraassen: two camps: 1 Tarski Suppes: set theory, extensionalist (FraassenVs) - 2 Weyl Evert Beth: state space, modal approach (Fraassen per) - both initially conceived language-specific, later Vs). |
Fr I B. van Fraassen The Scientific Image Oxford 1980 |
Disputed term/author/ism | Author |
Entry |
Reference |
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Extensionality | Carnap, R. | VI XXI Extensionality-thesis / Carnap (1928): all statements are extensional. Self-criticism VsCarnap: (1961) is not correct in this form. New: weaker form: every non-extensional statement is translated into a logically equivalent statement in an extensional language. |
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