Comment by chongli
9 days ago
There's no issue with recursive definitions. That's how arithmetic was original formalized by Peano's axioms [1].
9 days ago
There's no issue with recursive definitions. That's how arithmetic was original formalized by Peano's axioms [1].
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*( ...*
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