"Completed infinities" are at the center of modern mathematics. Their existence is taken as a foundational axiom. I must admit: I think this is an error - a logical mistake. Infinity, by definition, cannot be completed, right?
I am joined by Dr. Gary McGuire, the head of Mathematics and Statistics at the University College Dublin. To my surprise, Gary also expresses skepticism about completed infinities.
Ep. 8 - Completed Infinities: Possible or Not? | Dr. Gary McGuire