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Extensions | Geach | I 231f Extension/Geach: E.g. to accept sense data as a more fundamental class of objects: If we know what sense data are, we can consider the extension of a predicate that is true only of sense data as identical to a particular physical object. >Sense data. But this does not reduce the object itself to a logical construction. - ... + ... If there is an object like the range of z for which F(z), then x belongs to this range only if F(x). I 235 Extension/Geach: it is a serious mistake to assume the objects formed the extension, they are only indirectly assigned to it as falling under the concept. I 243 Theory/extensional/Geach: no theory, no matter how rich, may contain all classes which are the extensions of their own sentences. >Semantic paradoxes. Cf. >Extensionality. |
Gea I P.T. Geach Logic Matters Oxford 1972 |
Identity | Geach | I 218 Identity/GeachVsFrege: identity is not a relation - "Is an A" does not mean "has identity with A" - (whereby "A" is a name). VsFrege: (in Frege, basic principles of artihmetics) instead of "There are just as many Fs as Gs": "Either any given object F iff it is a G, or there is a relation that is a one-to-one correspondence between the Fs and Gs". But this must not be an identity. I 226 Identity/Geach: only objects can be strictly identical. - In terms, there is only analogous identity: if they are coextensive. >Coextensive. I 238 Identity/GeachVsQuine: Thesis: Identity is relative. - If someone says "x is identical to y", this is an incomplete expression. - It is an abbreviation for "x is the same as y". - (Weird, that Frege did not represent this). >Identity/Quine. Identity/tradition/Geach: can be expressed by a single schema. (1) l- Fa (x)(Fx u x = a) - everyday-language: whatever is true of something which is identical with an object y is true of a and vice versa. From this we derive the law of self-identity: "l-a = a". Because we take "Fx" for "x unequal a", then schema (1) gives us: (2) l- (a unequal a) Vx(y unequal a u x = a) - this,of course, gives "l-a = a" I 240 Identity/Geach: if we demand strict identity, regardless of the theory in which we move, we get into the semantic paradoxes such as Grelling's or Richard's >Grelling's paradox. Solution: relative identity on theory or language, indissibility/"indiscernibility"/Quine -> Partial identity. 1. Frege, G. (1893). Grundgesetze der Arithmetik. Jena: Hermann Pohle. --- Tugendhat I 37 Identity/Dummett/Geach: "=" can only be used with reference to objects. >Equal sign. Habermas IV 158 Identity/Geach/Habermas: Peter Geach argues that identity predicates can only be used meaningfully in connection with the general characterization of a class of objects.(1) (See also Criteria/Henrich, HenrichVsGeach). E.g. Person/Identification/Habermas: Persons cannot be identified under the same conditions as observable objects. In the case of persons, spatiotemporal identification is not sufficient. Also see >Identity/Henrich. 1.P.Geach, Ontological Relativity and Relative Identity, in: K. Munitz, Logic and Ontology, NY. 1973 |
Gea I P.T. Geach Logic Matters Oxford 1972 Tu I E. Tugendhat Vorlesungen zur Einführung in die Sprachanalytische Philosophie Frankfurt 1976 Tu II E. Tugendhat Philosophische Aufsätze Frankfurt 1992 Ha I J. Habermas Der philosophische Diskurs der Moderne Frankfurt 1988 Ha III Jürgen Habermas Theorie des kommunikativen Handelns Bd. I Frankfurt/M. 1981 Ha IV Jürgen Habermas Theorie des kommunikativen Handelns Bd. II Frankfurt/M. 1981 |
Paradoxes | Brandom | I 461 Reference to semantic paradoxes: a naïve substitutional understanding of the quantification of truth claims obliges to interpret the liar paradox. Such paradoxes can also occur with "refers to": e. g. (ω) the square root of 2, which is obtained by multiplying -1 with the one referred to by the expression token designated "ω". (Grover: anaphoric foundation corresponds to Kripke: semantic assignment of a value at the minimum fixed point is the most natural model for an intuitive concept of truth). >Kripke's fixedpoints, >Anaphora, >Substitutional quantification. |
Bra I R. Brandom Making it exlicit. Reasoning, Representing, and Discursive Commitment, Cambridge/MA 1994 German Edition: Expressive Vernunft Frankfurt 2000 Bra II R. Brandom Articulating reasons. An Introduction to Inferentialism, Cambridge/MA 2001 German Edition: Begründen und Begreifen Frankfurt 2001 |
Paradoxes | Geach | I 241f Semantic paradoxes (Grelling Paradox, Richard s p./Geach: solution: it must be possible to distinguish between different occurrences (tokens) of words. >Grelling's paradox. >Words, >Type/token, >Circularity, >Self-reference, >Reference, >Occurrence. |
Gea I P.T. Geach Logic Matters Oxford 1972 |
Paradoxes | Putnam | I (i) 232f Paradoxes/truth/PutnamVsTarski: the paradox of his theory is that you have to stand outside the whole hierarchy to say that the hierarchy exists. Charles Parsons: thesis: statements about truth values are made in a higher language - a speech act 'sui generis'. Cf. >Liar Paradox. I (i) 234 PutnamVsParsons, Charles: a speech act is not more 'sui generis' than a sentence in red ink. This is a merely formalistic trick to say, they could then not contain paradoxes. The problem is only shifted: the language in which we express that sentences in red ink ... Solution/Putnam: some forms of discourse can be understood without a prerequisite concept of truth. Rorty: proposes this for all discourses. Some: these things could not be "said, but shown". PutnamVs: the notion that there was a discursive thought that could not be said is incomprehensible. Gödel: takes set-theoretic paradoxes to be solved; semantic paradoxes for not solved. |
Putnam I Hilary Putnam Von einem Realistischen Standpunkt In Von einem realistischen Standpunkt, Vincent C. Müller Frankfurt 1993 Putnam I (a) Hilary Putnam Explanation and Reference, In: Glenn Pearce & Patrick Maynard (eds.), Conceptual Change. D. Reidel. pp. 196--214 (1973) In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (b) Hilary Putnam Language and Reality, in: Mind, Language and Reality: Philosophical Papers, Volume 2. Cambridge University Press. pp. 272-90 (1995 In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (c) Hilary Putnam What is Realism? in: Proceedings of the Aristotelian Society 76 (1975):pp. 177 - 194. In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (d) Hilary Putnam Models and Reality, Journal of Symbolic Logic 45 (3), 1980:pp. 464-482. In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (e) Hilary Putnam Reference and Truth In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (f) Hilary Putnam How to Be an Internal Realist and a Transcendental Idealist (at the Same Time) in: R. Haller/W. Grassl (eds): Sprache, Logik und Philosophie, Akten des 4. Internationalen Wittgenstein-Symposiums, 1979 In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (g) Hilary Putnam Why there isn’t a ready-made world, Synthese 51 (2):205--228 (1982) In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (h) Hilary Putnam Pourqui les Philosophes? in: A: Jacob (ed.) L’Encyclopédie PHilosophieque Universelle, Paris 1986 In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (i) Hilary Putnam Realism with a Human Face, Cambridge/MA 1990 In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (k) Hilary Putnam "Irrealism and Deconstruction", 6. Giford Lecture, St. Andrews 1990, in: H. Putnam, Renewing Philosophy (The Gifford Lectures), Cambridge/MA 1992, pp. 108-133 In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam II Hilary Putnam Representation and Reality, Cambridge/MA 1988 German Edition: Repräsentation und Realität Frankfurt 1999 Putnam III Hilary Putnam Renewing Philosophy (The Gifford Lectures), Cambridge/MA 1992 German Edition: Für eine Erneuerung der Philosophie Stuttgart 1997 Putnam IV Hilary Putnam "Minds and Machines", in: Sidney Hook (ed.) Dimensions of Mind, New York 1960, pp. 138-164 In Künstliche Intelligenz, Walther Ch. Zimmerli/Stefan Wolf Stuttgart 1994 Putnam V Hilary Putnam Reason, Truth and History, Cambridge/MA 1981 German Edition: Vernunft, Wahrheit und Geschichte Frankfurt 1990 Putnam VI Hilary Putnam "Realism and Reason", Proceedings of the American Philosophical Association (1976) pp. 483-98 In Truth and Meaning, Paul Horwich Aldershot 1994 Putnam VII Hilary Putnam "A Defense of Internal Realism" in: James Conant (ed.)Realism with a Human Face, Cambridge/MA 1990 pp. 30-43 In Theories of Truth, Paul Horwich Aldershot 1994 SocPut I Robert D. Putnam Bowling Alone: The Collapse and Revival of American Community New York 2000 |
Reference | Quine | Rorty I 219f Quine: inscrutability of reference: not talking of what the objects of a theory are in an absolute sense is useful, but the question of how a theory of objects can be interpreted or re-interpreted in another one. E.g. How can you find out if someone sees everything upside down, or in complementary colors? It makes sense to talk about subordinate theories, but only relative to the theoretical framework with its own preliminarily appropriated and ultimately inscrutable ontology. >Inscrutability. Hartry FieldVsQuine: has shown that Quine’s talk of "relativization to a background language," and of "taking the reference literally" is not consistent with his general reasoning. RortyVsQuine: a real holism would consider the question "are we referring in reality to rabbit or rabbit parts? To formulas or to Goedel numbers" neither meaningless nor meaningful only relative to a background language, but in reality to be a question such as " Are we are really talking about nations or groups of individual persons?" "Are we talking about witches or hallucinations?" These questions make sense if we give them meaning. That means that something else depends on their answer. --- Quine I 273 Shared reference: Terms, not objects! - Nevertheless, it is water, which is spread - mass terms: cumulative reference, (grammatically like singular term) - singular term: shared reference. >Language acquisition, >Triangulation, >Mass terms. I 166 Opaque verb: "hunts lions" puts nothing in relation, does not refer to a lion - relative term police chasing a man. I 273 Theories and things: Prerequisite of an object is not the same as reference, but same motivation - Fido-Fido principle: individual chairs mostly nameless, "chair" refers to virtually any chair. Reference: comes out through the predication: it is the same in dogs and milk: Milk is white, Fifi is a dog - But: milk and dog cannot be. compare II 13f. --- II 33 Inscrutability of reference: there is no difference: "x is a dog" or "x is the space time portion, which is filled by a dog" - only statement about the terminology used and its translation, not physical object (proxy function). - inscrutability: in translation or permutation. Putnam II 194 Reference/Quine: there are definitely true and false sentences, but no specific reference relation - reason: the true sentences have an infinite number of models, and there is not the one designated model (Loewenheim) - in various true models, there are then various reference relations. --- Quine I 129 Translation: translatable: observation sentences, truth functions (conjunction, negation, alternation) - identifiable: stimulus analytic sentences, stimulus-synonymous occasion sentences of the natives - untranslatable: stimulus-synonymous occasion sentences. --- VII (g) 130f Reference/Theory of reference/th.o.r./Quine: name, truth, denotation (designating ("true-by")), extension, values of variables, ontological commitments - theory of reference includes the semantic paradoxes. --- Lauener XI 175 Reference/extensions/Singular term/general term/Follesdal/Lauener: singular term: have a reference - general term and sentences have an extension. >Singular terms, >Extension, >Intension. |
Quine I W.V.O. Quine Word and Object, Cambridge/MA 1960 German Edition: Wort und Gegenstand Stuttgart 1980 Quine II W.V.O. Quine Theories and Things, Cambridge/MA 1986 German Edition: Theorien und Dinge Frankfurt 1985 Quine III W.V.O. Quine Methods of Logic, 4th edition Cambridge/MA 1982 German Edition: Grundzüge der Logik Frankfurt 1978 Quine V W.V.O. Quine The Roots of Reference, La Salle/Illinois 1974 German Edition: Die Wurzeln der Referenz Frankfurt 1989 Quine VI W.V.O. Quine Pursuit of Truth, Cambridge/MA 1992 German Edition: Unterwegs zur Wahrheit Paderborn 1995 Quine VII W.V.O. Quine From a logical point of view Cambridge, Mass. 1953 Quine VII (a) W. V. A. Quine On what there is In From a Logical Point of View, Cambridge, MA 1953 Quine VII (b) W. V. A. Quine Two dogmas of empiricism In From a Logical Point of View, Cambridge, MA 1953 Quine VII (c) W. V. A. Quine The problem of meaning in linguistics In From a Logical Point of View, Cambridge, MA 1953 Quine VII (d) W. V. A. Quine Identity, ostension and hypostasis In From a Logical Point of View, Cambridge, MA 1953 Quine VII (e) W. V. A. Quine New foundations for mathematical logic In From a Logical Point of View, Cambridge, MA 1953 Quine VII (f) W. V. A. Quine Logic and the reification of universals In From a Logical Point of View, Cambridge, MA 1953 Quine VII (g) W. V. A. Quine Notes on the theory of reference In From a Logical Point of View, Cambridge, MA 1953 Quine VII (h) W. V. A. Quine Reference and modality In From a Logical Point of View, Cambridge, MA 1953 Quine VII (i) W. V. A. Quine Meaning and existential inference In From a Logical Point of View, Cambridge, MA 1953 Quine VIII W.V.O. Quine Designation and Existence, in: The Journal of Philosophy 36 (1939) German Edition: Bezeichnung und Referenz In Zur Philosophie der idealen Sprache, J. Sinnreich (Hg) München 1982 Quine IX W.V.O. Quine Set Theory and its Logic, Cambridge/MA 1963 German Edition: Mengenlehre und ihre Logik Wiesbaden 1967 Quine X W.V.O. Quine The Philosophy of Logic, Cambridge/MA 1970, 1986 German Edition: Philosophie der Logik Bamberg 2005 Quine XII W.V.O. Quine Ontological Relativity and Other Essays, New York 1969 German Edition: Ontologische Relativität Frankfurt 2003 Quine XIII Willard Van Orman Quine Quiddities Cambridge/London 1987 Rorty I Richard Rorty Philosophy and the Mirror of Nature, Princeton/NJ 1979 German Edition: Der Spiegel der Natur Frankfurt 1997 Rorty II Richard Rorty Philosophie & die Zukunft Frankfurt 2000 Rorty II (b) Richard Rorty "Habermas, Derrida and the Functions of Philosophy", in: R. Rorty, Truth and Progress. Philosophical Papers III, Cambridge/MA 1998 In Philosophie & die Zukunft, Frankfurt/M. 2000 Rorty II (c) Richard Rorty Analytic and Conversational Philosophy Conference fee "Philosophy and the other hgumanities", Stanford Humanities Center 1998 In Philosophie & die Zukunft, Frankfurt/M. 2000 Rorty II (d) Richard Rorty Justice as a Larger Loyalty, in: Ronald Bontekoe/Marietta Stepanians (eds.) Justice and Democracy. Cross-cultural Perspectives, University of Hawaii 1997 In Philosophie & die Zukunft, Frankfurt/M. 2000 Rorty II (e) Richard Rorty Spinoza, Pragmatismus und die Liebe zur Weisheit, Revised Spinoza Lecture April 1997, University of Amsterdam In Philosophie & die Zukunft, Frankfurt/M. 2000 Rorty II (f) Richard Rorty "Sein, das verstanden werden kann, ist Sprache", keynote lecture for Gadamer’ s 100th birthday, University of Heidelberg In Philosophie & die Zukunft, Frankfurt/M. 2000 Rorty II (g) Richard Rorty "Wild Orchids and Trotzky", in: Wild Orchids and Trotzky: Messages form American Universities ed. Mark Edmundson, New York 1993 In Philosophie & die Zukunft, Frankfurt/M. 2000 Rorty III Richard Rorty Contingency, Irony, and solidarity, Chambridge/MA 1989 German Edition: Kontingenz, Ironie und Solidarität Frankfurt 1992 Rorty IV (a) Richard Rorty "is Philosophy a Natural Kind?", in: R. Rorty, Objectivity, Relativism, and Truth. Philosophical Papers Vol. I, Cambridge/Ma 1991, pp. 46-62 In Eine Kultur ohne Zentrum, Stuttgart 1993 Rorty IV (b) Richard Rorty "Non-Reductive Physicalism" in: R. Rorty, Objectivity, Relativism, and Truth. Philosophical Papers Vol. I, Cambridge/Ma 1991, pp. 113-125 In Eine Kultur ohne Zentrum, Stuttgart 1993 Rorty IV (c) Richard Rorty "Heidegger, Kundera and Dickens" in: R. Rorty, Essays on Heidegger and Others. Philosophical Papers Vol. 2, Cambridge/MA 1991, pp. 66-82 In Eine Kultur ohne Zentrum, Stuttgart 1993 Rorty IV (d) Richard Rorty "Deconstruction and Circumvention" in: R. Rorty, Essays on Heidegger and Others. Philosophical Papers Vol. 2, Cambridge/MA 1991, pp. 85-106 In Eine Kultur ohne Zentrum, Stuttgart 1993 Rorty V (a) R. Rorty "Solidarity of Objectivity", Howison Lecture, University of California, Berkeley, January 1983 In Solidarität oder Objektivität?, Stuttgart 1998 Rorty V (b) Richard Rorty "Freud and Moral Reflection", Edith Weigert Lecture, Forum on Psychiatry and the Humanities, Washington School of Psychiatry, Oct. 19th 1984 In Solidarität oder Objektivität?, Stuttgart 1988 Rorty V (c) Richard Rorty The Priority of Democracy to Philosophy, in: John P. Reeder & Gene Outka (eds.), Prospects for a Common Morality. Princeton University Press. pp. 254-278 (1992) In Solidarität oder Objektivität?, Stuttgart 1988 Rorty VI Richard Rorty Truth and Progress, Cambridge/MA 1998 German Edition: Wahrheit und Fortschritt Frankfurt 2000 Putnam I Hilary Putnam Von einem Realistischen Standpunkt In Von einem realistischen Standpunkt, Vincent C. Müller Frankfurt 1993 Putnam I (a) Hilary Putnam Explanation and Reference, In: Glenn Pearce & Patrick Maynard (eds.), Conceptual Change. D. Reidel. pp. 196--214 (1973) In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (b) Hilary Putnam Language and Reality, in: Mind, Language and Reality: Philosophical Papers, Volume 2. Cambridge University Press. pp. 272-90 (1995 In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (c) Hilary Putnam What is Realism? in: Proceedings of the Aristotelian Society 76 (1975):pp. 177 - 194. In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (d) Hilary Putnam Models and Reality, Journal of Symbolic Logic 45 (3), 1980:pp. 464-482. In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (e) Hilary Putnam Reference and Truth In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (f) Hilary Putnam How to Be an Internal Realist and a Transcendental Idealist (at the Same Time) in: R. Haller/W. Grassl (eds): Sprache, Logik und Philosophie, Akten des 4. Internationalen Wittgenstein-Symposiums, 1979 In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (g) Hilary Putnam Why there isn’t a ready-made world, Synthese 51 (2):205--228 (1982) In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (h) Hilary Putnam Pourqui les Philosophes? in: A: Jacob (ed.) L’Encyclopédie PHilosophieque Universelle, Paris 1986 In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (i) Hilary Putnam Realism with a Human Face, Cambridge/MA 1990 In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam I (k) Hilary Putnam "Irrealism and Deconstruction", 6. Giford Lecture, St. Andrews 1990, in: H. Putnam, Renewing Philosophy (The Gifford Lectures), Cambridge/MA 1992, pp. 108-133 In Von einem realistischen Standpunkt, Vincent C. Müller Reinbek 1993 Putnam II Hilary Putnam Representation and Reality, Cambridge/MA 1988 German Edition: Repräsentation und Realität Frankfurt 1999 Putnam III Hilary Putnam Renewing Philosophy (The Gifford Lectures), Cambridge/MA 1992 German Edition: Für eine Erneuerung der Philosophie Stuttgart 1997 Putnam IV Hilary Putnam "Minds and Machines", in: Sidney Hook (ed.) Dimensions of Mind, New York 1960, pp. 138-164 In Künstliche Intelligenz, Walther Ch. Zimmerli/Stefan Wolf Stuttgart 1994 Putnam V Hilary Putnam Reason, Truth and History, Cambridge/MA 1981 German Edition: Vernunft, Wahrheit und Geschichte Frankfurt 1990 Putnam VI Hilary Putnam "Realism and Reason", Proceedings of the American Philosophical Association (1976) pp. 483-98 In Truth and Meaning, Paul Horwich Aldershot 1994 Putnam VII Hilary Putnam "A Defense of Internal Realism" in: James Conant (ed.)Realism with a Human Face, Cambridge/MA 1990 pp. 30-43 In Theories of Truth, Paul Horwich Aldershot 1994 SocPut I Robert D. Putnam Bowling Alone: The Collapse and Revival of American Community New York 2000 Q XI H. Lauener Willard Van Orman Quine München 1982 |
Understanding | Field | I 51 Understanding/definition/Field/(s): We also understand undefined terms or operators. - E.g. Negation operator - E.g. existential quantifier. Field: these are not definable. >Operators, >Quantifiers. I 245 Conjunction/understanding/paradoxes/Field: conjunction of sentences: only makes sense if the sentences are understood before. >Conjunction. I.e. that the conjunction itself (and constructed from their records) are not allowed as a conjunct. >Semantic paradoxes, >"Everything he said is true".). Solution: hierarchy of predicates. >Hierarchies. |
Field I H. Field Realism, Mathematics and Modality Oxford New York 1989 Field II H. Field Truth and the Absence of Fact Oxford New York 2001 Field III H. Field Science without numbers Princeton New Jersey 1980 Field IV Hartry Field "Realism and Relativism", The Journal of Philosophy, 76 (1982), pp. 553-67 In Theories of Truth, Paul Horwich Aldershot 1994 |
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Quine, W.V.O. | Kripke Vs Quine, W.V.O. | III 368 Ramified ed Type Theory/vTT/QuineVsRussell/Kripke: Is intended for propositions. QuineVsRussell: Does not give significant ontological improvement vis-à-vis normal set theory. KripkeVsQuine: Our ability to apply the substitutional quantification at higher levels (in strong resemblance to vTT) shows that it is not irrelevant to semantic paradoxes. The failure of not branching brought in problems for the pseudo substitutional language. III 411 KripkeVsQuine: Uses criteria to reduce and others to revalue his favored things, and does not discuss why he uses these criteria. |
Kripke I S.A. Kripke Naming and Necessity, Dordrecht/Boston 1972 German Edition: Name und Notwendigkeit Frankfurt 1981 Kripke II Saul A. Kripke "Speaker’s Reference and Semantic Reference", in: Midwest Studies in Philosophy 2 (1977) 255-276 In Eigennamen, Ursula Wolf Frankfurt/M. 1993 Kripke III Saul A. Kripke Is there a problem with substitutional quantification? In Truth and Meaning, G. Evans/J McDowell Oxford 1976 Kripke IV S. A. Kripke Outline of a Theory of Truth (1975) In Recent Essays on Truth and the Liar Paradox, R. L. Martin (Hg) Oxford/NY 1984 |
Tarski, A. | Kripke Vs Tarski, A. | III 337 Expansion/Language/Kripke: Here we need Set Theory, at least the sets of the expressions of L. (As Tarski, who is dealing, however,with referential language). DavidsonVsTarski/Kripke: he needs less ontology and less richness of metalanguage. III 367 Substitutional quantification/sQ/KripkeVsTarski: substitution quantification together with the formula Q(p,a) solves Tarski’s problem to define a "true sentence". III 410 Language/Kripke: When a language is introduced, an explicit definition of W is a necessary and sufficient condition that the language has mathematically defined (extensional) semantics. Otherwise, the language can be explained in informal English. The semantics is then intuitive. Before Tarski, semantics have generally been treated that way. Convention T/DavidsonVsTarski/Kripke: for Davidson the axioms must be finite in number. Kripke: his work is much more controversial than that of Tarski. Field I 245 Def disquotational truth/dW/Field: can be defined with the help of substitution quantification (∏/(s): for all sentences, not objects .... is valid) for all sentences, not objects") definiert werden. S is true iff ∏p(if S = "p", p). where "p" sentences are substituents. But which sentences?. Konjunctions/Understanding/Paradoxies/Field: Konjunctions of sentences: makes only sense if the sentences have been understood beforehand, i.e. that the conjunctions themselves (and sentences constructed from them) are not allowed as conjuncts. (>Semantic Paradoxes, (s) >Everything he said is true). Solution: Tarski similar hierarchy of T-predicates. Predicates: then the definition of the dW by substitutional quantification (sQ)is typically ambiguous: each element of the hierarchy is provided by the corresponding sQ. KripkeVsTarski: (Kripke 1975): he is to restrictive for our aim: as such we do not obtain all ueK that we need. Solution/Kripke: others, quasi imprädikative Interpretation von dW. Analog für Field I 246 Substitutional Quantification/sQ/Kripke: Authorizes sentences to be a part of themselves and things, which are build from those sentences, to be conjuncts. However, the truth value of those quasi impredicative conjuncts are to be objectively indeterminate until the truth value is assigned to a certain level. sQ/Field: Allows then ueK without semantic ascent. If we want to talk about the non-linguistic world, why should we use sentences which we do not need?. → sQ: Could then be used as a basic term. → Basic term/Field: This means that a) the basic term is not defined by even more basic termini. → b) the basic term does not try to explain even more basic terms in theory (Field for each a) and b). → If we accept a), we need, however, to explain how the term obtains its meaning. Perhaps from logical laws which regulate its use. If we accept a), it is not a problem to accept b) as well. → Explanation/Field: e.g. the issue regarding mentalistic terms is not to give a meaning, but to show that the term is not primitive (basal). The ideology in logical terms does not need to be reduced that much. |
S.A. Kripke I Kripke Name und Notwendigkeit Frankfurt/M, 1981 II Sprecher-Referenz und semantische Referenz aus Wolf, Eigennamen, Frankfurt 1993 ebenfalls Sigle II: Substitutionale Quantifikation aus Evans/McDowell, Truth and Meaning siehe Bedeutungstheorie Field I H. Field Realism, Mathematics and Modality Oxford New York 1989 Field II H. Field Truth and the Absence of Fact Oxford New York 2001 Field III H. Field Science without numbers Princeton New Jersey 1980 Field IV Hartry Field "Realism and Relativism", The Journal of Philosophy, 76 (1982), pp. 553-67 In Theories of Truth, Paul Horwich Aldershot 1994 |
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