Pah! That's just Big Mathematics trying to get more research grants and needlessly complicate things.The question is, which infinity would you reach since there are more than one.
Mathematics is meant to describe the universe. If you need to resort to making stuff up, you've failed.
Like that time Descartes tried to say "Actually, the square root of -1 is i," to which I replied "i isn't even a number," and shot him on the spot.
Death by pneumonia? No, I shot him. Any stories to the contrary are entirely imaginary.
Best wishes
Serene Doge Edgar I "The Patron of the Sciences (Serious Researchers Only, No Time Wasters Please)" Pugglesworth