Kyle Teague

Salty hacker. CTO @Onfrontiers

[Anthropic @AnthropicAI]

Checking that a major mathematical proof is correct can take years. Formalization—converting the mathematical reasoning into a form computer proof assistants like Lean can verify—can help.

Last month, Claude completed the first formalized proof of Fermat’s Last Theorem, one of the most famous theorems of all time. This was a project experts thought would take many years. It is the largest Lean proof ever written.

Fermat’s Last Theorem was first proven in 1995 by Sir Andrew Wiles, more than 350 years after it was conjectured. Our proof, which totals over 13 million lines of code, provides machine verification. More importantly, it proves over 29,000 other theorems that the proof requires, across many areas of math which had never before been formalized.

We see this as a major step in the long process of firming up the core of mathematical knowledge, building on work from three centuries of mathematicians and hundreds of contributors to Lean and Mathlib. We are optimistic that AI-assisted verification of mathematical proofs will help reduce the burden of refereeing mathematics in an era where more proofs are being produced than ever before.

You can read about the process on our Science Blog: https://t.co/ryYnDEAU6J

And see the complete proof on GitHub: https://t.co/wlYMXYnofz

[Brian Caouette @bcaouette]

Do you know someone amazing for a new role in digital marketing? Pls message me. https://t.co/Px7GBBfcJh

[Kyle Teague @kyteague]

log15 by @inconshreveable is the best logging library for #golang I've seen. just goes to show that you can't always look at # of stars.

[Streamnative @gostreamnative]

How I Became Fluent in Portuguese in 1 Year Without Living in Brazil https://t.co/QPaiC9mxXc #streamnative

[Kyle Teague @kyteague]

https://t.co/R0QtUwMW6h

[Kyle Teague @kyteague]

In Thailand, Martial Law Is a Backdrop for Selfies http://t.co/V5Xi4S6YZU via @mashable

[Kyle Teague @kyteague]

Uh oh. Can't login with Facebook to @sciencescape

[Kyle Teague @kyteague]

@victhegenius @thesnugger ?

[Kyle Teague @kyteague]

I just applied for exclusive cocktail deals in New York http://t.co/TOmdfiTa7Z via @2cocktails

[Kyle Teague @kyteague]

@alexiskold congrats and well deserved

[Kyle Teague @kyteague]

Way to be sleazy @InterviewJet. Mass emailing people lying about "someone mentioning your name at a meetup" is deceptive and unprofessional.

[Kyle Teague @kyteague]

Miley Cyrus is a genius. http://t.co/DGT3XvpxDw

[Alex Iskold | 2048.vc @alexiskold]

20 apps that look great on iOS7 featuring @getglue http://t.co/DnlXuYHxtx

[Kyle Teague @kyteague]

@alexiskold @fitbit I had the same issue. They sent me a replacement.

[Kyle Teague @kyteague]

The first prototype of Foursquare ever presented, 4 years ago today http://t.co/Lx00Nb7VPV

[Kyle Teague @kyteague]

Accelerator with the world's longest name announced: R/GA Connected Devices Accelerator, powered by @techstars

[Kyle Teague @kyteague]

hacking @BryantParkNYC -- who knew they had wifi and outlets?

[R.L. Stine @RL_Stine]

I'm so glad I live in New York City and not in the United States.

[Alex Iskold | 2048.vc @alexiskold]

Dream up and build killer next gen social tv/second screen! Join @GetGlue in NYC as a product manager: http://t.co/eag7W3BPsw

[Kyle Teague @kyteague]

@fitbit I waited 3 weeks for a defective flex. Lasted 3 days and now can't hold a charge.