Philosophy Dictionary of ArgumentsHome | |||
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Derivability: this is about the question which statements can be obtained according to the rules of a calculus. In logic, derivability refers to the ability to prove a statement from a set of premises using the rules of inference of a given logical system. A statement is said to be derivable if there is a proof of it in the system._____________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. | |||
Author | Concept | Summary/Quotes | Sources |
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S.A. Kripke on Derivability - Dictionary of Arguments
III 391 Universal statement/derivability/induction/Kripke: (x) P (x), a universal statement, cannot be derived from their instances in a finite system and the T-scheme as well, e.g. mathematical conjectures. E.g., >Goldbach's conjecture._____________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. |
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 |