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The Role of Computer Assistance in Mathematical Proofs

Professor of Pure Mathematics

1:13:30·2026·graduate level·Research Seminar

An examination of how computational methods augment and transform complex mathematical proofs, from the four-color theorem to the classification of finite simple groups.

Abstract: The four colour theorem was a very early example of a proof for which the use of a computer was essential, because the amount of tedious mechanical calculation was simply far too large for a human to undertake. However there are other reasons that a proof can be complex; for example it can simply be extremely long, like the classification of finite simple groups. Can computers assist with these proofs somehow? Can computers even assist all proofs?

Source: London Mathematical Society via YouTubeWatch on YouTube

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