Catching a real error in a Journal of Economic Theory proof
Claude verifies a published proof, misses a subtle continuity gap, gets corrected by the user, and confirms it matches the authors' own corrigendum.
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A Sharp Rebuttal to an AI Hype Essay's Aggressive Timelines
A detailed critique of a viral essay predicting rapid white-collar job loss from AI, weighing where its urgency is earned and where confidence outruns evidence.
Chasing a Counterexample to the Jacobian Conjecture
Claude runs a disciplined symbolic search for a map that would refute the eighty-year-old Jacobian conjecture, and the hunt turns up something startling.
Do Japan's rice forecasts count foreign residents' consumption
A user asks whether Japan's revised rice forecasts account for its growing foreign population, then has Claude estimate the tonnage those residents might eat.
Sizing up Musk's proposed Terafab chip plant against TSMC
A skeptical numbers exercise estimating when Tesla's proposed Terafab chip factory might open, and how small its output would be next to TSMC's by 2030.