Ep. 8 – Completed Infinities: Possible or Not? | Dr. Gary McGuire

“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 basic logical mistake. Infinity, by definition, cannot be completed – or so it seems.

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.

Related Articles:

Infinite Things Do Not Exist

Logic and Infinity

Gary’s Website


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