Mathematical Theory and Modeling
An Extension of Peano Axioms for the Natural Number System
Abstract
As a fundamental requirement, a natural number system must necessarily satisfy Peano axioms. These axioms altogether justify whether or not a number system is a natural number system. In this paper, a set of axioms have been proposed and established to augment and extend the existing Peano axioms for the natural number system.
Key Words: Natural numbers, Rational numbers, Peano axioms, Pearson correlation coefficient, Even and Odd partitions.
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ISSN (Paper)2224-5804 ISSN (Online)2225-0522
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