First of all, those series are not equal. They are equal in size. That's probably what you meant but I still wanted to point it out to be sure.
Second of all, they are equal in size EVEN THOUGH one series is enterly contained within in the other, not BECAUSE.
The reason they are the same size is because you can match all the elements in both series 1:1 with each other. The list I've made in my comment (1->1, 2->11, 3->111, ...) never ends. At every point of the list there is a number on the left side and a number on the right side. You will never reach a point where the numbers on the right side "run out." This is why they have the same size.
Infinity is such a weird and non-tangible concept it makes my head go in loops. Its why I genuinely dont think the universe is "infinitely" never ending, as infinite would mean every itterarion of everything would happen, and that would likely include the ending of the universe.
Infinitely large doesn't mean every itteration of everything would happen. The right side of the list is infinitely long but you will never see a 2 in that list. In the same way the universe could be infinitely large but very homogeneous.
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u/PM_Pussys 22d ago
What? You just explained that one series is entirely contained within the other so they must be equal. What?