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.