Economics Dictionary of ArgumentsHome | |||
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Compositionality, linguistics, language philosophy: the thesis (originally by G. Frege, Grundlagen der Arithmetik, 1884) that the meaning of composite expressions, e.g. sentences, results from the meanings of the parts. It follows that a change of the parts, e.g. replacement of a single word by another, can change the meaning of the entire composite structure. See also Frege principle._____________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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Alfred Tarski on Compositionality - Dictionary of Arguments
Berka I 478 compositionality/composite statement/complex/propositional function/Tarski: composite statements need not be connections of simpler statements - which applies only to propositional functions. >Propositional functions. Compositionality: Only for propositional functions, not for statements? Problem: then a "reconstruction" of operators does not lead to the truth or falsity of a given statement. >Truth capability. Reason: because we get statements as certain special cases of propositional functions. Solution: satisfaction. >Satisfaction/Tarski, >Satisfiability/Tarski. Scheme: for every a - a complies with the propositional function x iff. p Example A fulfilled the propositional function "x is white" iff A is white. Then particularly snow fulfills the propositional function "x is white". (1) ((s) Because satisfaction is precisely related to propositional functions and not to statements). 1. A.Tarski, Der Wahrheitsbegriff in den formalisierten Sprachen, Commentarii Societatis philosophicae Polonorum. Vol 1, Lemberg 1935_____________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 Berka I Karel Berka Lothar Kreiser Logik Texte Berlin 1983 |