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pvillano 3 days ago

It better not have 100s of individually checked configurations

Edit: damn it.

I was just thinking last night about the four color theorem in the context of the recent Navier-Stokes drama, and Tao's Mastodon post on the uselessness of inscrutable computer-generated formalizations. I would love for an AI company find a proof of the four-color theorem without individually checked configurations, and optimize it for human comprehensibility.

marjancek 3 days ago | parent | next [-]

> The proof — ... — is in some ways even more complicated than its predecessors.

Damn it in deed.

But perhaps it will open a door to new proofs? Perhaps in other areas?

gowld 3 days ago | parent | prev | next [-]

I would love to have a unicorn pegasus, but some things might just be impossible.

Even something as simple as the computer you are posting from is not optimized for human comprehensibilty, in its full detail.

zem 2 days ago | parent | prev [-]

if it didn't you would likely be reading about it in far more mainstream press outlets :)