Terence Tao at ICM 2026: AI Forces Mathematics to Reexamine Its Core Values

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Fields Medal winner Terence Tao delivered a keynote at ICM 2026 arguing that artificial intelligence is triggering a crisis in mathematical practice comparable to the foundational upheavals of the early 20th century. Rather than debating AI's technical capabilities, Tao urged the mathematics community to explicitly examine its multiple goals — including problem-solving, theory-building, community development, and education — which have historically reinforced each other but now risk being pulled apart by AI optimization. He introduced a five-stage pipeline for mathematical results, spanning generation, verification, communication, publication, and canonization, warning that optimizing only for the first stages could flood the field with machine-verified proofs that no human understands. Tao coined the term 'proof indigestion' to describe a looming scenario where mathematics produces more verified results than the community can meaningfully absorb or build upon. He concluded that the current moment, regardless of how AI capabilities ultimately develop, makes it overdue for mathematicians to openly articulate what they are actually trying to achieve.

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