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https://www.youtube.com/watch?v=eNgUQlpc1m0&t=18m50s

In this clip, Maxim Kontsevich gives an explanation for why he believes that we are living in a computer simulation. He basically points out that nature should be a manifold and not a bunch of vector spaces, because vector spaces are very limited objects. Do you agree with his opinion on this? If not, why not?