Uploaded June 2020 | Updated September 2026, 2 weeks ago
Visual by Think Twice: youtu.be/9yoCbk_z_08?t=142
An alternate proof of the Pythagorean theorem. This time, we actually see how a^2 + b^2 = c^2 using some geometry with the squares! Credit to Think Twice for the idea of this proof.
Check out some challenge problems: youtube.com/playlist?list=PLug5ZIRrShJGkzGsXMYQt8bi5ImYtiEMM
New math videos every Monday and Friday. Subscribe to make sure you see them!
Music: C418 - Pr Department
Visual by Think Twice: youtu.be/9yoCbk_z_08?t=142
An alternate proof of the Pythagorean theorem. This time, we actually see how a^2 + b^2 = c^2 using some geometry with the squares! Credit to Think Twice for the idea of this proof.
Check out some challenge problems: youtube.com/playlist?list=PLug5ZIRrShJGkzGsXMYQt8bi5ImYtiEMM
New math videos every Monday and Friday. Subscribe to make sure you see them!
Music: C418 - Pr Department
![I Want to Play a Game: Proving [0,1] is Uncountable](https://i.ytimg.com/vi/Mcfnnp8rxkI/mqdefault.jpg "I Want to Play a Game: Proving [0,1] is Uncountable
The interval [0,1] is uncountable, and there are many ways to prove that. Cantors diagonal argument is a classic example. But theres another way: proof by playing a game. This video is an explanation of a proof by contradiction after assuming that the infinite set [0,1] is countable and playing a game on that interval. All we need is basic calculus for the limits of sequences!
Original based on Grossman & Turett: https://arxiv.org/pdf/math/0606253
Calculus Problems playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJGFne7YhMi-4eYsUKzkITao
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Music: C418 - Smooth Fall")
