07-06-2021, 03:24 AM

Wow, I found that Aristotle has already said something similar:

So instead of using the term transfinite (which is often equated with infinite) I will use the terms actual infinity and potential infinity. And there is only one actual infinity. And there are many potential infinities. For example all even numbers 2, 4, 6, 8, ... are potential infinity. And all odd numbers 1, 3, 5, 7, ... are potential infinity. And when adding all even numbers together with all odd numbers, the sum is still potential infinity.

Quote:"Aristotle handled the topic of infinity in Physics and in Metaphysics. He distinguished between actual and potential infinity. Actual infinity is completed and definite, and consists of infinitely many elements. Potential infinity is never complete: elements can be always added, but never infinitely many." - Wikipedia

So instead of using the term transfinite (which is often equated with infinite) I will use the terms actual infinity and potential infinity. And there is only one actual infinity. And there are many potential infinities. For example all even numbers 2, 4, 6, 8, ... are potential infinity. And all odd numbers 1, 3, 5, 7, ... are potential infinity. And when adding all even numbers together with all odd numbers, the sum is still potential infinity.