Numbers must count qualitative patterns.
Infinite qualitative patterns are mechanically irrational as no information can relate from one domain to the next.
Infinity refers to recurring qualitative finite loops of information.
Which in turn concludes true capital Infinity is an illusion!
Quanta relates with Qualia which relates with Concepts within OUR Human domain of operations. That domain has a limit!
Asking for a Metaphysics of Infinity is as rational as asking for the rationality of grasping any concept of a true God!