Set Theory and Logic


A Diagonal Map of the Real Numbers in the Closed Interval [0, 1] to the Natural Numbers

Authors: James Edwin Rock

The terminating decimal fractions in the open interval (0, 1) are put in 1-1 correspondence with the set of positive integers. Defining the reals in [0, 1] as the limits of their partial decimal sums, sets up a diagonal map to the natural numbers.

Comments: 1 Page. This paper contains an explicit map of the real numbers in [0, 1] to the natural numbers

Download: PDF

Submission history

[v1] 2019-07-10 05:30:35

Unique-IP document downloads: 10 times 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. 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