And what are those reasons? The main one I can think of is that the complex primitive n-th root of unity is an integer for n = 2, but not for higher n (and whatever consequences this has). Are there others?
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Most I can think of are consequences of that, and the related fact that inversion has order 2 (as does "not" in classical logic). Also, parity of permutations is well-defined, but permutations mod n isn't, complex manifolds have no odd-dimensional homology.
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"Complex manifolds have no odd-dimensional homology" is false. There may have been a true related fact that I meant to say, but I don't remember.
End of conversation
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