# False Proof--The Reals are Countable

DevFeed: [False Proof--The Reals are Countable](<https://devfeed.tech/articles/false-proof-the-reals-are-countable-40228.md>)

Original publisher: [Read original article](<https://www.jeremykun.com/2011/07/19/false-proof-the-reals-are-countable/>)

Published: 2011-07-19T17:10:00Z

Content type: article

Language: en

Sources: [Jeremy Kun](<https://devfeed.tech/sources/jeremy-kun.md>)

Topics: [math](<https://devfeed.tech/topics/math.md>)

Tags: [axiom-of-choice](<https://devfeed.tech/tags/axiom-of-choice.md>), [countability](<https://devfeed.tech/tags/countability.md>), [false-proof](<https://devfeed.tech/tags/false-proof.md>), [math](<https://devfeed.tech/tags/math.md>), [mathematics](<https://devfeed.tech/tags/mathematics.md>), [set-theory](<https://devfeed.tech/tags/set-theory.md>), [well-ordering](<https://devfeed.tech/tags/well-ordering.md>)

## AI overview

The article examines a purported proof that the real numbers are countable. It explains that the argument's surjectivity claim is flawed and begins demonstrating the issue using a chosen well-ordering of the integers.

## Source excerpt

It seems that false proofs are quickly becoming some of the most popular posts on Math ∩ Programming. I have been preparing exciting posts on applications of graph coloring, deck stacking, and serial killers. Unfortunately, each requires resources which exist solely on my home desktop, which is currently dismantled in California while I am on vacation in Costa Rica. Until I return from the tropics, I will continue with more of the ever -popular false proofs.