07-11-2021, 05:21 PM
(07-11-2021, 05:00 PM)Anders Wrote: In mathematics there are as many even numbers, as there are even numbers plus all odd numbers. That seems like a contradiction. The solution is that they use infinite sets.
With potential infinities it becomes different. Then all even plus odd numbers, can be more than all even numbers, which is intuitively more logical. It depends on how it's defined.
Only in mathematics things can be infinite.
But such definitions helps to keep mathematics alive for every situation.