Old Paul Calvano take resurfaces: why can't LLMs make mathematical discoveries?

paul_cal · x · 2026-10-07

paulcal resurfaces his June 2023 take: he doesn't see why LLMs shouldn't be able to make mathematical or logical "discoveries" (a priori knowledge) — gaining certainty on questions neither it nor any human had resolved before.

The quote-tweet reopens a core debate about LLM reasoning: are models just recalling training data, or can they produce genuinely novel knowledge?

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