Economics Dictionary of ArgumentsHome
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| Bivalence: the division in the evaluation of statements on two possible values. These can be interpreted as "true" and "false", but also can be interpreted differently. In multivalued logic there are three to infinitely many values. See also probabilities._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||
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Michael E. Dummett on Bivalence - Dictionary of Arguments
II 103 Principle of Bivalence/Truth/Dummett: PoB already presumes the concept of truth. - And that is transcendental in the case of undecidable sentences. - It goes beyond our ability to recognize what a manifestation would be. >Decidability. II 103f Undecidability/anti-realism/Dummett: (without bivalence) The meaning theory will then no longer be purely descriptive in relation to our actual practice. - - - III (a) 17 Sense/Frege: Explanation of sense by truth conditions. - Tractatus: dito: "Under which circumstances...". >Truth conditions, >Circumstances. DummettVsFrege/DummettVsWittgenstein: For that one must already know what the statement that P is true means. Vs: if they then say P is true means the same as asserting P. VsVs: then you must already know what sense it makes to assert P! But that is exactly what should be explained. VsRedundancy theory: we must either supplement it (not merely explain the meaning by assertion and vice versa) or abandon the bivalence. >Redundancy theory. - - - III (b) 74 Sense/Reference/Bivalence/Dummett: bivalence: Problem: not every sentence has such a sense that in principle we can recognize it as true if it is true (e.g. >unicorns, >Goldbach’s conjecture). But Frege’s argument does not depend at all on bivalence. III (b) 76 Bivalence, however, works for elementary clauses: if here the semantic value is the extension, it is not necessary to be possible to decide whether the predicate is true or not - perhaps application cannot be effectively decided, but the (undefined) predicate can be understood without allocating the semantic value (truth value) - therefore distinction between sense and semantic value. >Semantic Value. Cf. >Multi valued logic._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Dummett I M. Dummett The Origins of the Analytical Philosophy, London 1988 German Edition: Ursprünge der analytischen Philosophie Frankfurt 1992 Dummett II Michael Dummett "What ist a Theory of Meaning?" (ii) In Truth and Meaning, G. Evans/J. McDowell, Oxford 1976 Dummett III M. Dummett Wahrheit Stuttgart 1982 Dummett III (a) Michael Dummett "Truth" in: Proceedings of the Aristotelian Society 59 (1959) pp.141-162 In Wahrheit, Michael Dummett, Stuttgart 1982 Dummett III (b) Michael Dummett "Frege’s Distiction between Sense and Reference", in: M. Dummett, Truth and Other Enigmas, London 1978, pp. 116-144 In Wahrheit, , Stuttgart 1982 Dummett III (c) Michael Dummett "What is a Theory of Meaning?" in: S. Guttenplan (ed.) Mind and Language, Oxford 1975, pp. 97-138 In Wahrheit, Michael Dummett, Stuttgart 1982 Dummett III (d) Michael Dummett "Bringing About the Past" in: Philosophical Review 73 (1964) pp.338-359 In Wahrheit, Michael Dummett, Stuttgart 1982 Dummett III (e) Michael Dummett "Can Analytical Philosophy be Systematic, and Ought it to be?" in: Hegel-Studien, Beiheft 17 (1977) S. 305-326 In Wahrheit, Michael Dummett, Stuttgart 1982 |
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