Set Theory and Logic


Difficulties of the Set of Natural Numbers

Authors: Qiu Kui Zhang

In this article some difficulties are deduced from the set of natural numbers. The demonstrated difficulties suggest that if the set of natural numbers exists it would conflict with the axiom of regularity. As a result, we have the conclusion that the class of natural numbers is not a set but a proper class.

Comments: 10 Pages.

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Submission history

[v1] 2012-12-13 06:50:57
[v2] 2012-12-22 07:01:34
[v3] 2012-12-28 03:13:00
[v4] 2013-02-17 04:14:16
[v5] 2013-06-04 05:22:15

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