Division by Zero

Abstract

There is an exception to the rule that division by zero is undefined or prohibited, which results in a well-defined number, and follows the rules of set theory and algebra.  This paper disproves the “proof by contradiction” by using a counterexample, an examination of its logic as a compound statement of two forms of statements that are not accepted as logically equivalent, an explanation of it as a sophism, and by examining some of its underlying assumptions. 

Keywords: Counting Function, Empty Set, Zero, division, set theory.


Article Review Status: Published

Pages: 8-17 (Download PDF)

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