Set Theory and Logic

    

Correct Definition of the Set of Natural Numbers

Authors: Hongyi Li

It was proved that a set that already contains all natural numbers does not exist in real mathematical world because the concept of all natural numbers does not exist in the world. The correct definition of the set of natural numbers is a set that contains infinite natural numbers 1,2,3.... but can never contain all natural numbers. There are many sets of infinite natural numbers with different sizes. Thus, it is true that the subsets of N cannot correspond one-to-one with N, but it is false that the subsets cannot correspond one-to-one with any set of natural numbers.

Comments: 2 Pages.

Download: PDF

Submission history

[v1] 2022-09-05 01:56:40

Unique-IP document downloads: 255 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus