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jdw64today at 10:10 AM1 replyview on HN

Someday, there might be mathematics designed for AI. Mathematics that only a tiny fraction of humans can understand, but a different kind of mathematics might emerge. I wonder if we would still call it mathematics.

What would happen if a non-human layer of mathematics emerged on top of human mathematics? In this article, the distinction between Mathlib and Mathslop might be a precursor to that.

If models advance enough in the future, and new definitions, compressions, and representational forms that are convenient for AI-to-AI communication emerge, what would happen then? Would mathematics split into Human-facing and Machine-facing branches?


Replies

pfortunytoday at 10:18 AM

Science is not about results, it is about the transmission of knowledge. So long as those AI-"sciences" are just inside AI, they are "engineering", not science.

I am not dismissing engineering (it moves the world we live in), just trying to clarify what science is.

Applied fluid dynamics works like that: noone has ever really "verified" that the finite-element method applied to some specific model does converge

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