English

Infinite and natural numbers

General Mathematics 2007-05-23 v1

Abstract

The infinite numbers of the set M of finite and infinite natural numbers are defined starting from the sequence 0\Phi, where 0 is the first natural number, \Phi is 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.

Keywords

Cite

@article{arxiv.math/0202132,
  title  = {Infinite and natural numbers},
  author = {Jailton C. Ferreira},
  journal= {arXiv preprint arXiv:math/0202132},
  year   = {2007}
}

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14 pages