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has been cited by the following article:

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

  AUTHORS: Koji Nagata, Tadao Nakamura

  KEYWORDS: Set Theory, Formalism

  JOURNAL NAME: Open Access Library Journal, Vol.2 No.8, August 24, 2015

  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.