Thomas Callister Hales
American mathematicianWikipedia
3
MENTIONS
3
EPISODES
3
PODCASTS
Search complete. 3 mentions across 3 episodes found for "Thomas Callister Hales".
Sep 15, 2026
Autoformalization of Fermat's Last Theorem
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4:32Aaron StumpHOST
And so here's about the one for Fermat's Law Theorem.
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4:36Aaron StumpHOST
So first of all, to set the stage for this, um, There was this famous project of Tom Hales, a Pitt mathematician, who completed a proof of the Kepler conjecture.
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4:51Aaron StumpHOST
Again, I say completed.
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4:52Aaron StumpHOST
Building on the work of others, he finished and he proved the Kepler conjecture, this thing about stacking spheres in space.
How Replication Could Teach Machines What Good Science Looks Like — Edward Hughes
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61:33Tim ScarfeHOST
Yeah, and a great example of that was the, um, uh, Kepler's conjecture.
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61:37Tim ScarfeHOST
So when Thomas Hales, you know, he, he did hundreds of thousands of dynamic programming problems, and the annals of mathematics couldn't verify whether it had actually solved the problem or not.
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61:46Tim ScarfeHOST
But, um, it was a, it was not very nice from, from a sort of...
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61:51Tim ScarfeHOST
It, it wasn't very intellectually satisfying.
The Math That Arrived Before Reality
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46:45DavidHOST
So when did they finally solve it?
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46:47speaker_1HOST
It wasn't until 1998 that a mathematician named Thomas Hales managed to prove the 3D version.
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46:53speaker_1HOST
And it required massive computer assistance to brute force check all the possibilities.
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46:58DavidHOST
And the proof was so incredibly complex that it took another 16 years until 2014 for a specialized computer program to formally verify that the 1998 proof was completely error-free.