Math's Most Famous Proof is a Lie

🛍 Check out my math fashion brand! https://mathshion.com/ ❤️ Join the channel to get exclusive and early videos, original music, math lectures, and more! https://www.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: https://youtu.be/xrmqoKchspo Outro Song: https://crayon-angel.bandcamp.com/track/broken-record More Math Chats: https://www.youtube.com/playlist?list=PLztBpqftvzxXQDmPmSOwXSU9vOHgty1RO Business Inquiries: [email protected] SOURCES Prime Simplicity by Michael Hardy and Catherine Woodgold https://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 Euclid’s 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