Quantum Physics

    

Logical Independence Inherent in Elementary Algebra Seen in Context of Quantum Randomness

Authors: Steve Faulkner

Abstract As opposed to the classical logic of true and false, when elementary algebra is treated as a formal axiomatised system, formulae in that algebra are either provable, disprovable or otherwise, logically independent of axioms. This logical independence is well-known to Mathematical Logic. The intention here is to cover the subject in a way accessible to physicists. This work is part of a project researching logical independence in quantum mathematics, for the purpose of advancing a complete theory of quantum randomness.

Keywords mathematical logic, formal system, axioms, mathematical propositions, Soundness Theorem, Completeness Theorem, logical independence, mathematical undecidability, foundations of quantum theory, quantum mechanics, quantum physics, quantum indeterminacy, quantum randomness.

Comments: 9 Pages.

Download: PDF

Submission history

[v1] 2015-09-21 11:34:48
[v2] 2015-10-09 08:57:42

Unique-IP document downloads: 320 times

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