Philosophy Lexicon 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.

 
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Books on Amazon
II 184
Axioms/Mathematics/Einstein/Genz: the axioms themselves are not safe, only their connection with their conclusions. And thus the consequences of the axioms are not safe either.
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II 188
Axioms/Recognition/Logic/Kant/GenzVsKant: Kant still thought that the content-related axioms of the Euclidean geometry with the parallel axiom were just as certainly true as the connections of geometry created by the logical conclusions. So there was safe knowledge for him.


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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.

Gz I
H. Genz
Gedankenexperimente Weinheim 1999

Gz II
Henning Genz
Wie die Naturgesetze Wirklichkeit schaffen. Über Physik und Realität München 2002


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> Counter arguments against Genz
> Counter arguments in relation to Axioms

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Ed. Martin Schulz, access date 2017-11-18