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Why does the universe require so much grinding for this problem It makes no sense if the rest of the universe relies upon simple rules
by brcmthrowaway 2y ago
Why does the universe require so much grinding for this problem
It makes no sense if the rest of the universe relies upon simple rules
- gus_massa 2y agoThere are some math problems with that are simple to ask but very difficult to solve. For example https://en.wikipedia.org/wiki/Four_color_theorem https://en.wikipedia.org/wiki/Four_color_theorem You need a long explanation to reduce the problem to only a thousand of cases, and then you can test the thousand of cases with a computer or write the solution of each case if you are brave enough. https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem You replace the original integer numbers with integer complex numbers and get a solution for small n. But for big n you realize some properties of factorization don't work anymore, and then have to write a few books of algebra and then understand the conection with eliptic curves (whatever they are [1]) and modular forms (whatever they are [2]) and then write another book just to prove the tricky part of the theorem. [1] I studies eliptic surves as a small part of a course, only for two or three weeks. I'm not sure how they are conected with this. [2] I have no idea what they are.
- oulu2006 2y ago[1] neither [2] neither :) but I'm glad there are people out there that do!