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Infinite and natural numbers

Jailton C. Ferreira
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Abstract

The infinite numbers of the set M of finite and infinite natural numbers are defined starting from the sequence 0Φ, where 0 is the first natural number, Φis a succession of symbols S and xS is the successor of the natural number x. The concept of limit of the natural number n, when n tends to infinite, is examined. Definitions and theorems about operations with elements of M, equivalence and equality of natural numbers, distance between elements of M and the order of the elements are presented.

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Jailton C. Ferreira. 2002-02-14. Infinite and natural numbers. https://arxiv.org/abs/math/0202132

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