Can We Combine pi & e to Make a Rational Number? | Infinite Series

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Can you produce a rational number by exchanging infinitely many digits of pi and e?

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Hierarchy of Infinities
https://www.youtube.com/watch?v=i7c2qz7sO0I

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Links to other resources:

Original Post from Math Overflow
http://mathoverflow.net/questions/265310/if-i-exchange-infinitely-many-digits-of-pi-and-e-are-the-two-resulting-num

Square Root of 2 is Irrational
http://www.mathsisfun.com/numbers/square-root-2-irrational.html

Written and Hosted by Kelsey Houston-Edwards
Produced by Rusty Ward
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Thanks to Joel David Hampkins and Erin Carmody for helpful comments.

Comments answered by Kelsey:

Circuitrinos
https://www.youtube.com/watch?v=59aljcwo7aw&lc=z13mevgrmlzqh1xzc04chnc4vvegxfhj4x00k

​Brian Willett​
https://www.youtube.com/watch?v=59aljcwo7aw&lc=z123tzuj5oiqudan522hdfdxfl2xttl01

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