Actual Infinity in Reality?

[RoadRunner79]

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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.

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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".

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.

You can correct me if I am wrong here.   You are saying that there is an infinity where all elements are present, (there can be no more)  and yet the definition of infinity means that it is without inherent limitation there is always more.  You are saying that there is no more and more at the same time, in the same way.  You can make a rule about a set, where the rule creates an open set where anything more is included.  But you do not have all at any point in the process a list of all.  You have a rule which includes all that may be.  Even in your imagination, you cannot have an infinite number of things (barely a fraction really).  At best you have a shorthand, which includes all that may be.

It doesn't matter how many times you assert that actual infinities exist, you haven't really done anything to show that they do, and saying all but not all, over and over; I don't believe helps your case.