Shouldn't there be multiple infinity constants in Python?

Question

I am asking this question because, in mathematics, it can be proven that there are in fact many infinities. This is because it seem that some infinite sets have a different cardinality (size). For example, the set of real numbers has a cardinality greater than that of the natural numbers. Now, in Python, there is an infinity constant, but there is only one of them. Also, it seems there is only a floating point infinity. So shouldn't there be at least a few more? I am aware that this may not have many applications outside of mathematics, but is it even possible in Python? Any help on this would be greatly appreciated.