Philosophy Dictionary of ArgumentsHome
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| Existential generalization, logic: if an object that can be named, has a certain property, then there is at least one object with this property. See also universal generalization, universal instantiation._____________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 Existential Generalization - Dictionary of Arguments
Berka I 469 Generalization/generalization/Tarski: makes free variables disappear. Berka I 480 Generalization/generalization/fulfillment/satisfaction/"at most distinguishing at i-th position"/Tarski: ((s) here not existential generalization) Let x be a propositional function, assuming it is already known, which sequences satisfy the function x. By considering the content of the considered operation, we will only claim of the sequence f that it satisfies the ∧kx function if the sequence itself satisfies the x function and even then not stops to satisfy it if the k-th term varies in any way. >Satisfaction/Tarski, >Satisfiability/Tarski. E.g. the function ∧2l1,2 is only satisfied by such a sequence, which verifies the formula f1 ⊂ f2 and this regardless of how the second term of this sequence varies. This is only possible when the first element is the empty class.(1) >Sequences/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 Existential Generalization
Ed. Martin Schulz, access date 2024-04-28