Economics Dictionary of ArgumentsHome
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| Generalization: a generalization is the extension of a statement (an attribution of properties) that applies to a domain D of objects to an object domain E that is larger than D and contains D. Time points may also belong to the subject domain. A property which fully applies to the objects of an object domain may be partially applicable to the objects of a larger domain. See also validity, general invalidity, general, predication, methods._____________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 Generalization - Dictionary of Arguments
Berka I 469 Generalization/generalization/Tarski: makes free variables disappear. >Free Variables, >Bound variables. Berka I 480 Generalization/generalization/fulfillment/"at most distinguished at i-th position"/Tarski: Let x be a propositional function, assuming it is already known, which sequences satisfy the function x. By taking into account the content of the subject operation, we will only claim of the sequence f, that it satisfies the function LKx if this sequence itself satisfies the function x, and even then not stops to satisfy this sequence when the k-th term varies in any way. >Satisfaction/Tarski, >Sequences/Tarski. E.g. the function L2l1,2 is only satisfied through such a result, if the formula f1 >Functions/Tarski, >Terminology/Tarski. 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 |
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> Counter arguments against Tarski
> Counter arguments in relation to Generalization
