Proofs are important not just for developing critical reasoning, and not simply for avoiding errors, but for progress in mathematics itself. This talk will explain why, and Mark Ronan will present a fascinating array of mathematical examples. The moral of the lecture is two-fold. We need to question our proofs, however good they look, and we must question our assumptions. If we don't, we may miss something vitally important, and non-Euclidean geometry is a glorious example. It has become extremely useful to modern mathematics, in areas surprisingly far removed from geometry.

All our lectures are available for free download from the Gresham College website, in video, audio or text formats:
Gresham College professors and guest speakers have been giving free public lectures in central London since 1597. This tradition continues today and you can attend any of our lectures, or watch or listen to them on our website.

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