## 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._____________ 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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Berka I 141ff Axioms/Lukasiewicz/(s) "p" or also "Mp" must never appear as an axiom - but certainly as a line within a proof - ((s)"p" as an independent line means: "Everything is true") -> This is the contradictory system of all statements. - "Mp" as an axiom: "Any statement is possible". ^{(1)}1. J. Lukasiewicz, Philosophische Bemerkungen zu mehrwertigen Systemen des Aussagenkalküls, CR Varsovie Cl. III, 23, 51-77 _____________ 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. |
Berka I Karel Berka Lothar Kreiser Logik Texte Berlin 1983 |

Ed. Martin Schulz, access date 2018-12-12