Dictionary of Arguments

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Axiom: principle or rule for linking elements of a theory that is not proven within the theory. It is assumed that axioms are true and evident. Adding or eliminating axioms turns a system into another system. Accordingly, more or less statements can be constructed or derived in the new system. See also axiom systems, systems, strength of theories, proofs, provability.

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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 Item Summary Meta data
Berka I 400
Axiom System / Tarski: problem: choice of axioms is arbitrary and depends on the level of knowledge.(1)
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Berka I 530
  Axiom System / Tarski: methodological problem: to simply assume that an AxS is complete and therefore can solve every problem in its domain.(2)

1. A.Tarski, Grundlegung der wissenschaftlichen Semantik, in: Actes du Congrès International de Philosophie Scientifique, Paris 1935, Bd. III, ASI 390, Paris 1936, S. 1-8

2. A.Tarski, Der Wahrheitsbegriff in den formalisierten Sprachen, Commentarii Societatis philosophicae Polonorum. Vol 1, Lemberg 1935


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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.
The note [Author1]Vs[Author2] or [Author]Vs[term] 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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Ed. Martin Schulz, access date 2018-12-15
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