infinity
is
not
a
number
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If you think of a “number” as a field element, then in geometric algebra, vectors become numbers in the sense that you can add, subtract, multiply, and divide by them. But it is different because the multiplication is noncommutative. Besides that the analogy is pretty convincing.
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Wait, how do vectors form a field? They certainly form a *ring* under exterior product, but this product doesn't have inverses...
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Sometimes, I feel like I’m just a number
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