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by Barrin92
2272 days ago
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It definitely poses a challenge to the question of what a mathematical proof actually is. One of the things about mathematics is in a way its 'obviousness', there's a way in which once something is proven its intelligble to mathematicians in an immediate, direct sense. A 600 page proof that requires essentially a new branch of idiosyncratic mathematics which as an end result is barely understandable even by peers in the field almost moves it from mathematics into the realm of empirical science, where people are often for years occupied with interpretation of data and discussions about how significant a finding is. As mathematics moves on to tackle more and more complicated questions I think it's interesting to ask if there will be a push back against complicated solutions, focus on simplicity as integral to solving a mathematical problem, and so on. |
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