Terence Tao just posted this really insightful thread which seems to have been written in reaction to the Navier Stokes announcement. Please give it a read. https://t.co/SiuLLyp8jQ
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
RIP Jean-Luc Godard, one of the most influential, iconoclastic film-makers of them all. It was ironic that he himself revered the Hollywood studio film-making system, as perhaps no other director inspired as many people to just pick up a camera and start shooting...
Welcome to the Evening Show on @BBCRadioWales. Tonight we pay tribute to Cardiff's Burke Shelley of legendary metal band Budgie, who died recently. That's just after 8pm, and a lot of great music, as always until 10pm.
Today we kick off our September Data Study Group! The challenges are related to #dementia and #health research. Thanks to @UKDRI, @DEMONNetworkUK and @unibirmingham for providing the challenges
Good luck to everyone involved!
Learn more about #TuringDSG: https://t.co/bOd6IO4xj3
There will be lots of focus - rightly - on the economic costs of Brexit. But ending UK participation in Erasmus - an initiative that has expanded opportunities and horizons for so many young people - is cultural vandalism by the UK government.
Registration to #ErgodicityEconomics 2021 is now open: https://t.co/JtgLD7N9LK!
The programme is available on https://t.co/69zMqHWw17
We are offering 50 free places for women and members of under-represented minority groups. Apply to [email protected] by 20th December.
#EE2021
Just got out of the pool an I overheard people complaining that they couldn’t go to their holiday homes in Wales due to restrictions... hook it in my veins.
Rep @AOC: "I do not need Rep. Yoho to apologize to me. Clearly he does not want to. Clearly when given the opportunity he will not & I will not stay up late at night waiting for an apology from a man who has no remorse over calling women & using abusive language towards women."
Robert MacKay's Chaos Machine. Its configuration space is a genus three surface. The dynamics of the machine are equivalent to geodesic flow on the surface, which is Anosov, hence chaotic.