Economics Dictionary of ArgumentsHome
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| Sequence, logic: ordering within a set of objects (numbers, statements). See also sequent calculus, natural deduction, satisfaction._____________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 Sequences - Dictionary of Arguments
Berka I 463 Definition sequence of sub-classes: a sequence whose elements are all classes that are included in a given class a. Definition k-th element/Tarski: the only element which satisfies the formula xRk and a natural number, is called the k-th link "Rk". Berka I 463 Diversity: "at most differing at k-th position"/Taski: are two sequences R and S, when any two corresponding elements of these sequences, Ri and Si, are identical, at most with the exception of the k-th element of Rk and Sk. Berka I 511 Definition sequence of individuals/Tarski (in semantic unification): the two-digit relations between individuals and natural numbers - these all belong to the same meaning category regardless of the number of elements (of the sequence not of relation) and also the class of these sequences, as opposed to relations with more digits.(1) >Satisfaction/Tarski, >Satisfiability/Tarski, >Truth/Tarski, >Truth definition/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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