Philosophy Dictionary of ArgumentsHome
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| Recursion, theory of science, philosophy: recursion is a certain form in which rules are formulated, and which makes it possible to produce infinitely many possible cases from the application of a finite system of rules. See also inserting, embedding, infinity, systems, models, theories._____________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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Alfred Tarski on Recursion - Dictionary of Arguments
Skirbekk I 156 Recursion/recursive method/Tarski: starting from simple propositional calculus specifying the operations with which we construct composite functions. >Functions/Tarski, >Recursive rules. Skirbekk I 157 Recursion/Tarski: problem: composite statements are constructed from simpler propositional functions, but not always from simpler statements. >Propositional functions. Hence no general recursion is possible. Recursive definition of satisfaction is only possible in a much richer metalanguage (i.e. in metalanguage we have variables of a higher logical type than the in the object language.(1) >Expressivity, >Richness. 1. A.Tarski, „Die semantische Konzeption der Wahrheit und die Grundlagen der Semantik“ (1944) in: G. Skirbekk (ed.) Wahrheitstheorien, Frankfurt 1996_____________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. |
Tarski I A. Tarski Logic, Semantics, Metamathematics: Papers from 1923-38 Indianapolis 1983 Skirbekk I G. Skirbekk (Hg) Wahrheitstheorien In Wahrheitstheorien, Gunnar Skirbekk, Frankfurt 1977 |
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Ed. Martin Schulz, access date 2024-04-20