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    A proposed ‘natural boundary’ for machines in mathematics

    A user endorses Kevin Buzzard’s proposal to let machines explore math, then begin the journey toward wherever they get stuck.

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    TLDR

    A user quotes and agrees with Kevin Buzzard’s prediction that machines will reach a new ‘natural boundary’ in mathematics, perhaps far beyond where we are now. Buzzard believes they will eventually get stuck at a point where spending more resources on the next big leap is no longer viable. He proposes letting machines run, seeing what happens, then beginning the journey toward where they stopped.

    Combined views

    15.5K

    2 Sources, first seen 3h ago

    Combined views

    15.5K

    2 Sources, first seen 3h ago

    202 likes
    3h ago
    first seen 3h ago
    202 likes
    10 comments
    60 saves
    19 reposts

    Sentiment

    Positive——Negative

    Summary

    Not enough discussion yet.

    No sentiment analysis available yet.

    Featured Source
    10 comments
    60 saves
    19 reposts

    Sentiment

    Positive——Negative

    Summary

    Not enough discussion yet.

    No sentiment analysis available yet.

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    2 Sources

    @nasqretI cannot agree more. Kevin Buzzard made so many points I agree with. But the best one is this "I thus believe that in the future we will reach a new “natural boundary” in mathematics, beyond (and perhaps way beyond) where we are now, but where machines are going to get stuck and where it is not viable to expend any more resources to make the next big leap. (...) I believe that the optimal thing to do (...) is to let the machines loose, see what happens, and then begin the journey to where they have stopped." https://xenaproject.wordpress.com/2026/10/01/to-grieve-or-not-to-grieve/
    @ChrSzegedyThis sums up my sentiment very well. I might add: I don't care whose model or compute it produces those results as long as they make their results public.

    2 Sources

    @nasqretI cannot agree more. Kevin Buzzard made so many points I agree with. But the best one is this "I thus believe that in the future we will reach a new “natural boundary” in mathematics, beyond (and perhaps way beyond) where we are now, but where machines are going to get stuck and where it is not viable to expend any more resources to make the next big leap. (...) I believe that the optimal thing to do (...) is to let the machines loose, see what happens, and then begin the journey to where they have stopped." https://xenaproject.wordpress.com/2026/10/01/to-grieve-or-not-to-grieve/
    @ChrSzegedyThis sums up my sentiment very well. I might add: I don't care whose model or compute it produces those results as long as they make their results public.