@scholarsauce
  @scholarsauce
Scholar Sauce | How are those Math Facts that Sound Fake Actually True?!? @scholarsauce | Uploaded September 2023 | Updated October 2024, 1 hour ago.
This video explains the facts presented in Math Facts that Sound Fake but are Actually True (youtu.be/Fs7uMI_7PEo?si=6lMhGTcgrvdad9_p). The facts are amazing, sure, but the reasons behind them are in many ways even more incredible!

Not all the facts are explaining in a reasonable length video, but you might spot a fun Star Trek retcon explanation related to one of the facts and a couple of great puns instead. Below are the time stamps for each fact if you want to jump to just one of them.

0:35 i^i is a real number
8:55 e^(i pi) + 1 = 0
10:08 Large numbers are incomprehensibly big, but never get any closer to infinity
13:08 Mobius band
14:34 Klein bottle
16:50 Fermat's Last Theorem and a Star Trek retcon
21:55 Solvable polynomials and Galois Theory (puns/wordplay on Abel and Galois)
24:52 It only takes 23 people in a room to have a more than 50% chance two of them have the same birthday
29:59 It is practically impossible that any deck of 52 cards have ever been shuffled the same way twice


*Andrew Wiles paper proving Fermat's Last Theorem:*

_Modular Elliptic Curves and Fermat's Last Theorem_
http://www.scienzamedia.uniroma2.it/~eal/Wiles-Fermat.pdf


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*Music*

_End of the Rainbow_ by Quincas Moreira

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*Images*

_Pierre de Fermat_
License: Public Domain
Source: commons.wikimedia.org/wiki/File:Pierre_de_Fermat.jpg

_Hands holding a bunch of playing cards_
License: Public Domain
Source: goodfreephotos.com/public-domain-images/hand-holding-a-bunch-of-playing-cards.jpg.php


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*Video*

Star Trek: The Next Generation
_The Royale_
Copyright CBS Studios Inc.
Short clip used under Fair Use as this work is transformative and contains significant commentary on the clip.


Star Trek: Deep Space Nine
_Facets_
Copyright CBS Studios Inc.
Short clip used under Fair Use as this work is transformative and contains significant commentary on the clip.
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How are those Math Facts that Sound Fake Actually True?!? @scholarsauce

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