Comment by ttoinou
9 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.
9 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.
> 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.
i=0+1*i =0+1*(0+1*(0+1*(0+1*(0+1*(0+1*( ...*
... = -2 - (-3) = -1 - (-2) = 0 - (-1) = 1 - 0 = 1 = 2 - 1 = 3 - 2 = 4 - 3 = 5 - 4 = ...