Infinite and natural numbers

Details Infinite and natural numbers Infinite and natural numbers

2002-02-14

arxiv.org/abs/math/0202132v1

Mathematics

General Mathematics

14 pages

Scientific paper

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.

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