Cohl Furey sounds like a goddamn new Marvel character, but actually she's a mathematical physicist. Can that really be her name? As a novelist, I feel reality is cheating by being so fucking dramatic:https://www.quantamagazine.org/the-octonion-math-that-could-underpin-physics-20180720/ …
I mean "we're weakening this specific requirement", ie 'algebraic structure that is a division algebra except we give up associativity'.
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It's a theme: R -> C loses linear ordering C -> H loses commutativity H -> O loses associativity
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Which of course is a general phenomenon -- drop an axiom and the potential structures explode. Part of what makes this progression interesting to a lot of people is that it *doesn't* explode, you get just one new structure at each step.
End of conversation
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. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.