paper · AI-PHIL-03

When the Answer Changes the Question

methodological essay — not peer reviewed ai-philosophy

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A methodological essay on the difference between explaining a negative mathematical result and recognizing the reconstruction problem it creates.

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Directional asymmetry and mathematical discovery

This essay follows a human–LLM research process from counterexamples to Connes’ rigidity conjecture into questions of marked recovery and admissible transport. It distinguishes solving a declared problem from recognizing the adjacent question opened by its solution.

It is a motivating and methodological essay, not a proof of the subsequent reconstruction program.

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1.2.02026-10-27methodological essay — not peer reviewedPDF