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This paper present set-theoretic construction of number sets beginning with von Neumann definition of Natural numbers. Integers are defined in terms of Natural numbers. The set of integers Z is defined to be the set of equivalence classes of ordered pairs (x, y) where x, y are Natural numbers. Integers form a Commutative Ring with Unity. The set of Rational numbers Q is

Title : From Counting Numbers to Complete Ordered Fields: Set-Theoretic Construction of
Author : Samuel Horelick
Language : en
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Type : PDF, ePub, Kindle
Uploaded : Apr 11, 2021

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