Actual Infinity in Reality?

[GrandizerII]

Perhaps not enough to readjust your views though, right?

I'm guessing based on this quote:


The answer is you haven't changed your mind on anything to do with actual infinity. You clearly just can't accept that all the elements are already there in such a collection, so there's nothing more of the same type of element to add.

So, you are at an end with nothing more to add?

There is no end, but no matter how far you go through the set, there is already an element to observe.

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So, you are at an end with nothing more to add?

There is no end, but no matter how far you go through the set, there is already an element to observe.

Just use your imagination and assume all elements actually already exist in the set of positive integers:

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...}

The elements are all already there, including 11 and so on. Can you add more positive integers to the set that aren't already there yet? No! No matter how far you go through the set, any last integer you reach would have already been an element of the set. It didn't need your observation to bring it into being. Even if it was Graham's number, or TREE(3), they're already there (assuming they're integers, of course; if not, ignore this last sentence).