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    Two metaphors for AI and existing mathematical knowledge

    A post questions the “convex hull” analogy and suggests a subgroup generated by existing mathematical knowledge as another metaphor.

    Geoffrey IrvingGI
    Timothy Gowers @wtgowersTG
    2 Sources, ,

    TLDR

    A poster is puzzled by the popularity of the idea that AI “merely explores the convex hull” and asks why it might not be more like a subgroup generated by existing mathematical knowledge. They stress that the subgroup comparison is a metaphor, not a claim that mathematical knowledge has a group structure.

    Combined views

    35.9K

    2 Sources, first seen 13h ago

    Combined views

    35.9K

    2 Sources, first seen 13h ago

    527 likes
    13h ago
    first seen 13h ago
    527 likes
    37 comments
    101 saves
    62 reposts
    37 comments
    101 saves
    62 reposts
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    2 Sources

    Timothy Gowers @wtgowers@wtgowersI realize @AcerFur is being ironic, but the popularity of the idea that AI "merely explores the convex hull" mystifies me. Why wouldn't it be more like the subgroup generated by existing mathematical knowledge? (That's also a metaphor -- I'm not saying there's a group structure.)13h
    Geoffrey Irving@geoffreyirvingRT @wtgowers: I realize @AcerFur is being ironic, but the popularity of the idea that AI "merely explores the convex hull" mystifies me. Wh…2h

    2 Sources

    Timothy Gowers @wtgowers@wtgowersI realize @AcerFur is being ironic, but the popularity of the idea that AI "merely explores the convex hull" mystifies me. Why wouldn't it be more like the subgroup generated by existing mathematical knowledge? (That's also a metaphor -- I'm not saying there's a group structure.)13h
    Geoffrey Irving@geoffreyirvingRT @wtgowers: I realize @AcerFur is being ironic, but the popularity of the idea that AI "merely explores the convex hull" mystifies me. Wh…2h