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Division by Zero Fallacies using Transmathematics

Author:

Gilreath, William Fletcher

Category:

Research Papers

Sub-Category:

Mathematics and Applied Mathematics

Language:

English

Date Published:

October 22, 2016

File:

/Research Papers-Mathematics and Applied Mathematics/Download/6667

Downloads:

698

Keywords:

Division, Division by Zero, Nullity, Transmathematics, Zero

Abstract:

Three fallacies that illustrate why division by zero is frequently considered undefined operation are examined. The example fallacies consider the unique case of zero divided by zero. Two examples are fallacies of equality, and the other is an example of ambiguity in the solution for an equation. These fallacies are examined using the transmathematic number nullity F. By utilizing nullity, division by zero is no longer an undefined or indeterminate operation, but a consistent, well-defined operation in arithmetic.

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