Showing posts with label proof. Show all posts
Showing posts with label proof. Show all posts

20 October 2026

How AI could bring about the mass adoption of open access in mathematics – and beyond

These changes are already taking place in the world of mathematics, which is the first to be impacted by the new capabilities of powerful AI models. It is not yet clear how quickly other fields will be affected. Academic fields closest to mathematics – physics, chemistry, engineering etc. – are likely to be the first to see similar dramatic breakthrough results from AI models. Moreover, if mathematics successfully shifts away from today’s emphasis on publications towards a broader appreciation of skills, it may be that other fields will recognise the benefits of doing so and start following suit – with or without pressure from AI.

On Walled Culture.

29 May 2026

AI’s Secret

The proof uses “an infinite unramified tower
Of real number fields with 3-power
Galois groups of growing degree”, the ab
-stract says of the lush maths in AI’s fab
-ulous and first refutation of an Erdős guess.
The chain of thought runs to no less
Than 125 pages, as the LL
-M chugged away in a pell-mell
Orgy of random logic, until the chasm
Was bridged.  Undaunted by the human phantasm
Of failure, undistracted by feelings, immune
To dying in a pointless duel far too soon,
AI's galling secret that will make it our lord
Is a patient digital doggedness that never gets bored.

(29.5.26) v 1.1