Actual Infinity in Reality?

[GrandizerII]

Infinity is not a number in the sense that it's not an element of the set of real numbers, it's that which encompasses the number of elements in it. It's the set itself when the set contains infinite elements. Pay attention to the grammar of words before you charge me with contradicting myself.

Easy there buddy.  You can mistakes, I can make mistakes, things may need to be clarified or perhaps one may even alter or modify their position.   I'm not like some who declare victory, before, after, and during every argument.   This is about an idea, and the discussion of it. I'm not trying to say gotch ya, and act like that is the end of things.   That would be the fallacy, fallacy.

Oh, please.

Also here, you may note, that in your definition here, you are saying that it is the set, and then using "infinite" in another way to describe the elements.   I think that the second meaning is closer, and you don't need to involve sets to describe infinity.   You are describing something about the thing in question that you are talking about.

Infinite number of elements. Infinite being descriptive term for the endless number of elements in the set. Look at the whole set/collection of numbers/elements, and that there is your infinity. It's not somewhere near "the magical ends".

And you didn't state any contradiction. All you did was show that you continue to confuse actual infinity with potential infinity.

No I'm not... I'm talking about it in it's entirety fully formed as you have stated.  If I was talking about a potential infinity, there wouldn't be the contradiction.

If you were talking about actual infinity, then why are you struggling with the premise? Actual infinity exists, meaning all elements exist in it without bounds/ends. Complete doesn't mean having ends in this context. It means all elements are present.