Amit Sahai says understanding AI's new mathematics will take more mathematicians, not fewer

1 month ago

From the Hacker News front page: More mathematicians, not fewer; Conversations leaves Google Play; The end of plan mode; How Apple Cards got printed; and Floci, four clouds on a laptop. We're gonna need a lot more mathematicians https://terrytao.wordpress.com/2026/09/24/were-gonna-need-a-lot-more-mathematicians/ Discussion, about 360 points and about 460 comments: https://news.ycombinator.com/item?id=49852717 Breaking Up with Google Play: Why Conversations Is Now Free https://gultsch.de/posts/breaking-up-with-google-play/ Discussion, about 630 points and about 250 comments: https://news.ycombinator.com/item?id=49855315 Plan mode is dead https://www.aymannadeem.com/artificial/intelligence,/developer/tools/2026/09/24/plan-mode-is-dead.html Discussion, about 550 points and about 470 comments: https://news.ycombinator.com/item?id=49840054 Fifteen years later, the Apple Cards origin story https://lexontech.org/fifteen-years-later-the-apple-cards-origin-story Discussion, about 330 points and 86 comments: https://news.ycombinator.com/item?id=49854693 Floci: Locally emulating any cloud service https://floci.io Discussion, about 160 points and 35 comments: https://news.ycombinator.com/item?id=49854416 The front page that day: https://news.ycombinator.com/front?day=2026-09-26

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Chapters

  1. 0:00Front page
  2. 0:13A time for humility in research mathematics
  3. 0:25A fusion design built on principles no human conceived
  4. 0:42A deployable intellectual reserve
  5. 0:58A commenter watching their own scrutiny slip
  6. 1:13What Google Play costs one Android developer
  7. 1:33A support number that cannot pass verification
  8. 1:51The founder of a planning app says planning moved
  9. 2:05Plan mode was only ever a prompt
  10. 2:21Steve Jobs asks for a thank-you card from his iPhone
  11. 2:40The startup Apple landed on
  12. 2:54Four clouds, emulated on localhost
  13. 3:14A reader already running it in CI
Show transcript
  1. At the top of the Hacker News front page, with about three hundred sixty points: a guest post on Terence Tao's blog, where Amit Sahai argues that the machines will leave humanity needing more mathematicians.

    Slide text
    Saturday, September 26, 2026

    Amit Sahai says understanding AI's new mathematics will take more mathematicians, not fewer

    Also on the front page
    • Conversations leaves Google Play
    • The end of plan mode
    • How Apple Cards got printed
    • Floci, four clouds on a laptop
  2. The systems Sahai works with already produce genuinely new ideas, he says, not just fast arguments. So every mathematician is about to learn what it feels like to be unable to keep up.

    Slide text
    Hacker News

    We're gonna need a lot more mathematicians

    Who is arguing it
    Amit Sahai, in a guest post on Terence Tao's blog.
    What the systems do now
    Beautiful new ideas, Sahai writes, well past impressive calculation or a fast version of an argument a strong researcher would already follow.
    The worry
    Researchers who can no longer keep up will quietly leave, the way the undergraduates Sahai remembers gave up on research mathematics.
  3. His example is a one terawatt fusion plant, designed by an AI on principles people have never put into practice. Approving it means understanding containment, shutdown and materials. And because the design is new, experience with earlier plants can't answer them.

    Slide text
    Hacker News

    Would you approve a one terawatt fusion plant you cannot follow?

    The scenario
    An AI system proposes a way to sustain and control fusion that no human had conceived of. Robots stand ready to build it.
    What approval needs
    How failures are contained, where the stored energy goes at shutdown, whether the materials behave as the design assumes.
    Why the usual answer fails
    The novelty that makes the design exciting also means decades of operating similar plants carry no confidence over.
  4. What he wants funded is research groups, each spending a term or a year understanding one set of machine-made ideas. Human understanding runs at a human pace, which is why it takes more people rather than fewer. He calls it a deployable intellectual reserve.

    Slide text
    Hacker News

    Sahai's proposal is a deployable intellectual reserve

    The unit of work
    A research group with sustained support, spending a term or a year understanding one extraordinary set of machine-produced ideas, with AI help.
    Why it takes more people
    Depth of understanding needs time and a pace of life a human body can sustain, so each person can only be asked for so much.
    Who gets called on
    Mathematically sophisticated people willing to work far outside their own research interests, on whatever breakthrough arrives.
  5. Commenter pyridines takes the fusion plant down to the desk. They used to read every line the model wrote and usually found something; they catch fewer problems now, and they ask whether the ten thousandth fusion plant gets the same trust.

    Slide text
    Hacker News

    In the thread

    “Why check it? It's obviously going to be correct.”

    pyridines, on how carefully they now review generated code
  6. Conversations is an XMPP messenger for Android, and since 2014 its Play Store sales have paid Daniel Gultsch's rent. Google's fifteen percent cut comes to more than a thousand euros a year. One update has waited fourteen days for review. Grants now fund the work through 2029, so the app is free.

    Slide text
    Hacker News

    Conversations leaves Google Play and goes free

    15%
    Google's cut of every sale
    More than 1,000 euros a year, which the developer says is 1.5 times his internet bill.
    14 days
    waiting for Google to review one update
    Security fixes wait in the same queue as features. The app has been pulled from the store twice.
  7. Other developers describe the same queue from the other side. Commenter k1w1 says their company has spent a year failing Google's support-number check, because verification wants a text or a human and their line answers with a menu. Plan mode is dead, says the founder of a planning app.

    Slide text
    Hacker News

    In the thread

    “After a year of trying we haven't been able to.”

    k1w1, on getting a company support number verified for the Play Store
  8. Ayman Nadeem built a coding app around planning, where a conversation hardened into a spec. Users had little appetite for that spec, and machine-written prose is punishing to read. Planning has moved inside the build loop instead.

    Slide text
    Hacker News

    Plan mode is dead

    What they built
    Nuanced, a desktop coding app where a chat became a persistent spec, and the spec drove the implementation.
    Why it failed
    Early users had little appetite for the spec, and the machine-written version was long enough that eyes glazed over it.
    The loop that won
    Understand, act, inspect, clarify, adjust, act again. Plenty of planning, no document called the plan.
  9. Commenter bcherny, who works on Claude Code, says plan mode there is a reminder appended to each message. Switching the tools instead would break the prompt cache, and cost users money. Fifteen years ago, Apple let you send a letterpress card from your iPhone.

    Slide text
    Hacker News

    In the thread

    “Plan mode has always been a prompt.”

    bcherny, who works on Claude Code
  10. Lex Friedman of Lex on Tech heard it from the man who ran the printing: it began with Steve Jobs on a walk after dinner. It took restored eighteen-fifties letterpresses, and cotton paper the ink refused. Apple wanted hundreds of thousands of cards ready. The first day's orders nearly fit in a glovebox.

    Slide text
    Hacker News

    Fifteen years later, the Apple Cards origin story

    How it started
    Steve Jobs, on a walk after dinner in 2011: wouldn't it be great to send that dinner companion a thank-you card from an iPhone?
    What that took
    Two dozen restored 1850s letterpresses in upstate New York, cotton stock the ink would not stick to, and a three-pass print process.
    Launch day
    Apple wanted hundreds of thousands of cards ready to ship. The first day's orders nearly fit in a glovebox.
  11. Commenter solfox co-founded Sincerely, which was mailing printed cards from an iPhone before Apple was. Their account is that the keynote mostly brought them awareness, and that when Apple retired Cards, it came as no shock.

    Slide text
    Hacker News

    In the thread

    “It felt like we'd been Sherlocked.”

    solfox, co-founder of Sincerely, whose Postagram shipped before Cards
  12. Floci emulates four clouds on your laptop, as MIT-licensed binaries that start in about twenty four milliseconds and need no cloud account. Its AWS emulator answers on the port LocalStack uses, with about a hundred twenty services, and Lambda, RDS and Redis run for real underneath.

    Slide text
    Hacker News

    Floci emulates AWS, Azure, Google Cloud and Oracle Cloud locally

    24 ms
    cold start, idling at 13 MiB of memory
    Standalone MIT-licensed native binaries. No cloud account, no auth token, throwaway keys.
    119
    AWS services, on port 4566
    The port LocalStack uses. Lambda runs in Docker, RDS on PostgreSQL or MySQL, ElastiCache on Redis.
  13. Commenter microflash has been running integration tests against it with Testcontainers for a while, and calls it much more lightweight than LocalStack.

    Slide text
    Hacker News

    In the thread

    “It's very good and much more lightweight than Localstack.”

    microflash, running integration tests against it with Testcontainers

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