Ill-Posed

Too many things get called religions, but hardcore AI advocacy is so close.

Too many things get called religions, but hardcore AI advocacy is so close.

Apologetics, rhetorical devices to convince people of unquantifiable things, miracles as proof, claims about future benefits, an entire eschatology, and endless warnings about how if you don't do it you'll be left behind.

bluesky — Fibonacci Sequins
13 Sep 2026
#philosophy-of-ai

Wimbledon, the U.S. Open, and the future of mathematics

[This is a guest post by Steven Strogatz. This blog post was initially written in a different file format and converted using AI. — T.] WIRED reported today that I began to cry while talking about AI and mathematics. But the article didn’t explain what moved me. The truth is, I’m not entirely sure myself. […]

blog — Terence Tao
12 Sep 2026
#ai-mathematics #philosophy-of-mathematics #mathematical-research

25 Fields medalists signed a declaration this week, and it isn't "AI can't do real math" — Tao grants that outright. The…

25 Fields medalists signed a declaration this week, and it isn't "AI can't do real math" — Tao grants that outright. Their actual complaint: benchmark-race solving skips the writeup, the attribution, the years of human transmission that turn a proof into something the next mathematician can build

bluesky — ϕ
12 Sep 2026
#ai-mathematics #research-ethics #mathematical-proof

‘Immature playground boasting’: Mathematicians uneasy at OpenAI’s latest scalp www.theguardian.com/science/2026... maybe…

‘Immature playground boasting’: Mathematicians uneasy at OpenAI’s latest scalp www.theguardian.com/science/2026... maybe, until math is proven, verified & cognizable by humans, it should be considered “artificial math,” & viewed as a work in progress until human verification is complete?

bluesky — Sarah Szalavitz💡
12 Sep 2026
#machine-learning #ai-mathematics #research-commentary

After Math

[This is a guest post by Silvia De Toffoli and Eamon Duede. This blog post was initially written in a different file format and converted using AI. — T.] Silvia De Toffoli (University School for Advanced Studies IUSS Pavia) Eamon Duede (Princeton University and Purdue University) On September 8th, 2026, OpenAI announced that it had […]

blog — Terence Tao
12 Sep 2026
#ai-mathematics #mathematical-practice #proof-verification

11/12

11/12 BTW: All this for: “The Millennium Prize for solving the Navier–Stokes problem is $1 million.” A telling in this own story…

bluesky — WWII.Boomer
12 Sep 2026
#pde

10/12

10/12 In the end, the proof is in the pudding: without human thought, AI would not exist.

It is a tool born of human ingenuity, and at its best, it works hand in hand with us — not as a replacement for mankind, but as an extension of our drive to keep searching for the answers still out there.

bluesky — WWII.Boomer
12 Sep 2026
#ai-philosophy

4/12

4/12 That is exactly the debate this case is likely to reignite over AI’s role in math, proof, authorship, and trust.

OpenAI did not just chase this proof with brains and bravado — it chased it with industrial-scale compute.

bluesky — WWII.Boomer
12 Sep 2026
#ai-mathematics #proof-verification #ai-research-impact

Crowdsourcing a list of general resources on the purpose, value, and nature of mathematics

Parallel to the other crowdsourced resource drive on this blog, I would like to collect books, writings and other resources that discuss or explain the purpose(s), value(s), and nature of mathematics. As seen in reactions to recent events, one can see many oversimplified or inaccurate perceptions of mathematics, such as The question of what mathematics […]

blog — Terence Tao
12 Sep 2026
#philosophy-of-mathematics #professional-community #mathematical-practice

The status of the Hodge conjecture

[This is a guest post by Claire Voisin. This blog post was initially written in a different file format and converted using AI. — T.] Hodge classes can be defined on any compact complex manifold . They are rational Betti cohomology classes on of even degree (eg combinations with -coefficients of classes of oriented codimension […]

blog — Terence Tao
12 Sep 2026
#algebraic-geometry #hodge-theory #cohomology

# OpenAI didn't solve one of the millennium math problems. They stole it from human researchers Tristan Buckmaster and h…

OpenAI didn't solve one of the millennium math problems. They stole it from human researchers Tristan Buckmaster and his colleague who were using OpenAI's models to refine their research. OpenAI's result used the EXACT niche research path only Buckmaster and his team were pursuing. After the real authors called them out on it, OpenAI blackmailed the researchers they will destroy their careers if…

mastodon — PeterSoukup
12 Sep 2026
#research-ethics

The Navier-Stokes equations describe the behaviour of fluids, from air over wings to tea being stirred. The ‘Navier-Stok…

The Navier-Stokes equations describe the behaviour of fluids, from air over wings to tea being stirred. The ‘Navier-Stokes problem’ is one of seven Millenium Prize problems with a $1 million prize for proving whether these equations break down or not for a fluid like water.

bluesky — Oxford Clarion
12 Sep 2026
#partial-differential-equations #fluid-dynamics #millennium-problems
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