"How many?"
?
"There might be a denumerable infinity or there might be a non-denumerable infinity. If the latter, than it would be of different sizes, but perhaps you mean 'the power of the continuum."
If I'm saying that infinity is an artifact (meaning a misrepresentation), then why would I care what type of infinity it is?
The likely evolutionary path of the human race:
The 21st century needs its own philosophy; here it is: