Uploaded May 2026 | Updated September 2026, 2 weeks ago
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What is math's most famous proof? It's certainly debatable, but one candidate is Euclid's 300 BC proof of the infinitude of primes. Famously, it was done by contradiction, making it an early example of such a powerful technique. But what if I told you that's a lie? That Euclid's proof wasn't by contradiction? I'm telling you: Euclid's proof wasn't by contradiction. #maths #mathematics
TI-108 Documentary: youtu.be/xrmqoKchspo
Outro Song: crayon-angel.bandcamp.com/track/broken-record
More Math Chats: youtube.com/playlist?list=PLztBpqftvzxXQDmPmSOwXSU9vOHgty1RO
Business Inquiries: wrathofmathlessons@gmail.com
SOURCES
Prime Simplicity by Michael Hardy and Catherine Woodgold
lawrencecpaulson.github.io/2021/11/24/Intuitionism.html
https://iep.utm.edu/intuitionism-math/
Euclid's Elements in Greek - The Greek text of J.L. Heiberg
Number Theory and its History by Oystein Ore
The Thirteen Books of Euclidβs Elements Translated by Thomas Heath
0:00 Intro
1:42 "Euclid's" Proof
3:17 Getting it Wrong
7:35 Getting Better and Worse
9:13 A Faithful Account
12:53 Why Bother?
18:54 Conclusion
π Check out my math fashion brand! mathshion.com
β€οΈ Join the channel to get exclusive and early videos, original music, math lectures, and more!
youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join
What is math's most famous proof? It's certainly debatable, but one candidate is Euclid's 300 BC proof of the infinitude of primes. Famously, it was done by contradiction, making it an early example of such a powerful technique. But what if I told you that's a lie? That Euclid's proof wasn't by contradiction? I'm telling you: Euclid's proof wasn't by contradiction. #maths #mathematics
TI-108 Documentary: youtu.be/xrmqoKchspo
Outro Song: crayon-angel.bandcamp.com/track/broken-record
More Math Chats: youtube.com/playlist?list=PLztBpqftvzxXQDmPmSOwXSU9vOHgty1RO
Business Inquiries: wrathofmathlessons@gmail.com
SOURCES
Prime Simplicity by Michael Hardy and Catherine Woodgold
lawrencecpaulson.github.io/2021/11/24/Intuitionism.html
https://iep.utm.edu/intuitionism-math/
Euclid's Elements in Greek - The Greek text of J.L. Heiberg
Number Theory and its History by Oystein Ore
The Thirteen Books of Euclidβs Elements Translated by Thomas Heath
0:00 Intro
1:42 "Euclid's" Proof
3:17 Getting it Wrong
7:35 Getting Better and Worse
9:13 A Faithful Account
12:53 Why Bother?
18:54 Conclusion










