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

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.

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Conflicts of Interest

The authors declare no conflicts of interest.

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, 1-4. doi: 10.4236/oalib.1101803.

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