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An easy proof that rational numbers are countable.
#8
RE: An easy proof that rational numbers are countable.
(February 22, 2018 at 4:17 pm)polymath257 Wrote:
(February 22, 2018 at 3:19 pm)Jehanne Wrote: The proof/technique in my OP is also in Rosen, Discrete Mathematics, 7th edition.

Point of my thread is that there are things that are counterintuitive, yet provably true!  These are sometimes referred to as "veridical paradoxes".

Anyone who has studied math past the level of calculus has seen many of such.

One of my favorites is the Peano space-filling curve:
https://www.youtube.com/watch?v=MaoCp08hznM

WLC was a communications major (for actors, news anchors) at Wheaton College, and then he went to Bible school where people go to be evangelical Christian pastors.  I don't think that he took any STEM classes while in college.
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RE: An easy proof that rational numbers are countable. - by Jehanne - February 22, 2018 at 10:30 pm

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