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ttoinou | 18 days ago

i is also a quaternion. So by this logic we could say complex numbers are made up of quaternions. But we don’t say such things because they wouldn’t be a good mental model of what we want to talk about.

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srean|18 days ago

> i is also a quaternion

Yeah, so ?

The fraction 1/2 is a rational and also a real and also a complex numbers and also a quaternion also an octonion ....

We use a number along with the minimal abstraction that is sufficient for our purpose.

ttoinou|18 days ago

i=0+1*i =0+1*(0+1*(0+1*(0+1*(0+1*(0+1*( ...*