Psychology Dictionary of ArgumentsHome | |||
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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._____________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 Axioms - Dictionary of Arguments
Berka I 400 Axiom System/Tarski: problem: the choice of axioms is arbitrary and depends on the level of knowledge.(1) Berka I 530 Axiom System/Tarski: methodological problem: to simply assume that an axiom system is complete and therefore can solve every problem in its domain.(2) >Arbitrariness, >Truth theory, >Method, >Truth definition. 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_____________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 |