Do the Two Operations Addition and Multiplication Commute with Each Other?

doi:10.4236/oalib.1101803

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Open Access Library Journal 2 2015

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Do the Two Operations Addition and Multiplication Commute with Each Other?

DOI: 10.4236/oalib.1101803, PP. 1-4

Koji Nagata, Tadao Nakamura

Subject Areas: Applied Physics

Keywords: Set Theory, Formalism

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Abstract

We study about the metamathematics of Zermelo-Fraenkel set theory with the axiom of choice. We use the validity of Addition and Multiplication. We provide an example that the two operations Addition and Multiplication do not commute with each other. All analyses are performed in a finite set of natural numbers.

Cite this paper

Nagata, K. and Nakamura, T. (2015). Do the Two Operations Addition and Multiplication Commute with Each Other?. Open Access Library Journal, 2, e1803. doi: http://dx.doi.org/10.4236/oalib.1101803.

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