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    Machine proofs and what counts as progress in mathematics

    A quoted passage argues that machines’ ability to prove or disprove conjectures calls mathematicians’ current criteria for progress into question.

    Tim RocktäschelTR
    1 Source, 33m ago, first seen 33m ago

    TLDR

    A passage shared in a post argues that mathematicians’ current values are misaligned with the purpose of mathematics. It says machines can prove or disprove conjectures by trying a wide array of known methods within known theories, challenging existing ideas about mathematicians’ role and what constitutes genuine progress.

    Combined views

    332

    1 Source, first seen 33m ago

    Combined views

    332

    1 Source, first seen 33m ago

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    1 Source

    Tim Rocktäschel@_rockt"There is currently a misalignment between the values mathematicians currently hold and the actual purpose of doing mathematics. The fact that machines are now able to prove or disprove conjectures by trying a wide array of known methods (within known theories) shows us that we have an obsolete criterion for what constitutes the role of a mathematician and the source of genuine progress in mathematics."33m

    1 Source

    Tim Rocktäschel@_rockt"There is currently a misalignment between the values mathematicians currently hold and the actual purpose of doing mathematics. The fact that machines are now able to prove or disprove conjectures by trying a wide array of known methods (within known theories) shows us that we have an obsolete criterion for what constitutes the role of a mathematician and the source of genuine progress in mathematics."33m