General Mathematics

    

A New Proof That The Reals Numbers Are Uncountable

Authors: Richard Kaufman

A fairly recent paper called, "Another Proof That The Real Number R Are Uncountable" uses Cousin’s lemma. Probably the most well-known proof of the uncountability of the real numbers is Georg Cantor’s diagonalization argument. Cantor’s diagonalization is not a proof that relies upon Russell’s paradox.3,4,5 In the present paper, we show that the reals are uncountable using Russell’s Paradox. To the author’s knowledge, this is a new proof.

Comments: 2 Pages.

Download: PDF

Submission history

[v1] 2023-04-14 01:50:01
[v2] 2023-04-22 15:58:52
[v3] 2023-05-10 13:18:57

Unique-IP document downloads: 446 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