Taylor expansion argument: a 16-dim 7th-order expansion has ~250k terms, beyond LLM reasoning
avt_im · x · 2026-10-20
In a debate with Noahpinion, the author argues the claim that LLMs can handle the calculations in certain papers is often outright wrong. Example: a 7th-order Taylor expansion of a 16-dimensional function — not even large — yields 250k terms.
An LLM would exhaust its context window long before reasoning through all of them, illustrating that brute-force expansion is beyond computationally bounded systems.
Related event: Critic Argues LLMs Cannot Brute-Force Paper Calculations(2 posts)→
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