⬣ LINKS ⬣
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⬡ CHANNEL: https://www.youtube.com/c/AnotherRoof
⬡ WEBSITE: https://anotherroof.top
⬡ SUBREDDIT: https://www.reddit.com/r/anotherroof
⬡ TWITCH: https://www.twitch.tv/anotherroof
Check out Sabine Hossenfelder’s video here:
https://www.youtube.com/watch?v=NrNjvIrCqII
⬣ ABOUT ⬣
AlphaGeometry is a new AI system developed by DeepMind that can solve Olympiad-level geometry problems. This has been hailed as a leap forward in AI reasoning, but is it? In this video, break down how AlphaGeometry works and give my general thoughts on the use of AI in mathematics.
⬣ TIMESTAMPS ⬣
00:00 - Introduction
01:04 - How Does AlphaGeometry Work?
02:27 - Triangle Facts
03:55 - IMO 2008: Problem 1 (Setup)
06:50 - IMO 2008: Problem 1 (AlphaGeometry’s Solution)
13:11 - IMO 2008: Problem 1 (Discussion)
18:22 - Is AlphaGeometry Good at Mathematics?
22:21 - The Use of AI in Mathematics: Good or Bad?
⬣ INVESTIGATORS ⬣
Nothing for you here. Sorry!
⬣ REFERENCES ⬣
Trinh, T.H., Wu, Y., Le, Q.V. *et al. “*Solving olympiad geometry without human demonstrations.” *Nature* **625**, 476–482 (2024). https://doi.org/10.1038/s41586-023-06747-5
K. Appel and W. Haken “The Existence of Unavoidable Sets of Geographically Good Configurations” Illinois J. Math. 20 (1976), 218-297
⬣ CREDITS ⬣
Music
Intro music by Tobias Voigt. Other music by Danjel Zambo and Apex Music.
Images
Deep Blue vs Garry Kasparov
Adam Nadel, AP Images
https://www.britannica.com/topic/Deep-Blue
Watson on Jeopardy
https://i.ytimg.com/vi/P18EdAKuC1U/maxresdefault.jpg
AlphaGo vs Lee Sedol
https://storage.googleapis.com/gweb-uniblog-publish-prod/images/AlphaGo_hero.width-1200.format-webp.webp
Elements
https://www.christies.com/en/lot/lot-6382657
Kasparov Newspaper
https://secure-images.rarenewspapers.com/ebayimgs/6.g3.2022/image002.jpg
Wiles
https://i.guim.co.uk/img/media/f809427647f499fcc6b26def9cc64b897abe01f1/1_4_1790_1074/master/1790.jpg?width=1200&quality=85&auto=format&fit=max&s=00cfd24886f1be0d486658d66eb64a1b
Four Colour Theorem
Taken from K. Appel and W. Haken “The Existence of Unavoidable Sets of Geographically Good Configurations” Illinois J. Math. 20 (1976), 218-297
Fluid Simulation
https://www.youtube.com/watch?v=03Hq_OTa-gA
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