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[–]philosopher 2 insightful - 1 fun2 insightful - 0 fun3 insightful - 1 fun -  (1 child)

Quaternions just seem like a piece of madness. But they're somehow still useful. They're one of those concepts that remind me that I just don't understand the reality of math.

[–][deleted] 1 insightful - 1 fun1 insightful - 0 fun2 insightful - 1 fun -  (0 children)

Try https://saidit.net/s/NumberTheory/comments/5x87/octonion/ . I posted them under https://saidit.net/s/NumberTheory/ .

A deep theorem from algebra states that there are only number "fields" isomorphic to Z_p ( p is prime) , Q, R, H and O, everything else is isomorphic to one of them under the same assumptions.