# How can the set of rational numbers between 0 and 1 equal the set between 0 and 2?

**URL:** <https://boards.straightdope.com/t/how-can-the-set-of-rational-numbers-between-0-and-1-equal-the-set-between-0-and-2/825237>\
**Category:** Factual Questions\
**Created:** [November 29, 2018, 12:35am UTC](https://boards.straightdope.com/t/how-can-the-set-of-rational-numbers-between-0-and-1-equal-the-set-between-0-and-2/825237 "2018-11-29T00:35:14Z")\
**Posts on this page:** 1\
**Page:** 5

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**Author:** ![EastUmpqua](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/eastumpqua/32/6025_2.png) [@EastUmpqua](https://boards.straightdope.com/u/EastUmpqua)\
**Post date:** [December 3, 2018, 2:56am UTC](https://boards.straightdope.com/t/how-can-the-set-of-rational-numbers-between-0-and-1-equal-the-set-between-0-and-2/825237/81 "2018-12-03T02:56:17Z")

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> [@rat\_avatar](#):
>
> I wish I could figure out a way to share how cool the math behind invarance is.

Please try. I’ll look up whatever you suggest.

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