|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. > System.|
Books on Amazon
|Berka I 400
Axiom System / Tarski: problem: choice of axioms is arbitrary and depends on the level of knowledge.
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.
Logic, Semantics, Metamathematics: Papers from 1923-38 Indianapolis 1983
K. Berka/L. Kreiser
Logik Texte Berlin 1983