Do the Two Operations Addition and Multiplication Commute with Each Other? - Open Access Library Journal

OALibJ > Vol.2 No.8, August 2015

Open Access Library Journal

Volume 2, Issue 8 (August 2015)

ISSN Print: 2333-9705 ISSN Online: 2333-9721

Google-based Impact Factor: 0.73 Citations

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

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DOI: 10.4236/oalib.1101803 935 Downloads 1,415 Views

Author(s)

Koji Nagata¹, Tadao Nakamura²

Affiliation(s)

¹Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon, Korea.
²Department of Information and Computer Science, Keio University, Yokohama, Japan.

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.

KEYWORDS

Set Theory, Formalism

Share and Cite:

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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