Actual Infinity in Reality?

[RoadRunner79]

So you just add  "...."   and then you finished?   That you are finishing a process that you are claiming is endless is a contradiction.    And the math in your dichotomy addition will never add up to what you want it to.  That is why it is an infinite chain (until you stop anyway).

Also a distance infers that you have two points or a segment.   You cannot add an infinite number of distances, and end in a result period (again by the nature of claiming that it is infinite).  The only exception perhaps is perhaps if you are adding a 0 distance an infinite number of times.

I also think that you are confusing "showing" with "assuming".  In my job, we sometimes run into engineers, that while they may be book smart, are said, to have not had enough time in the field.  The don't understand that the abstraction is not equal to actuality.  Your concept may have a perfect sphere, but in actuality, we get as close to a perfect sphere as we can (or hopefully, at least what we need).  In reality, we don't deal with points of zero size, if they have zero size, then they are not really anything.  It does depend on what your abstraction represents.   Can you actually cut a thing into a perfect 1/3, can you have a perfect circle, can we know that they are?  How many of these abstracts refer to something in them that is zero size?  What I think that you are showing, is that these things are not infinite at all, but do come to completion.

Again, the definition of 'infinite' that you are using isn't the one that others use. That infinite sum does, in fact, add to be 1/3. The *limit* is exactly 1/3. We can, in fact, evaluate the answer without going through the whole process.

Yes, you can, in fact, add an infinite number of distances and obtain a finite distance. That is precisely what limits do. 1/2 + 1/4 + 1/8 +...=1. Exactly.

Yes, the infinite aspects do come to completion in a finite time. That only shows your definition isn't working.

There was another post, where I was going to mention this, but this seems like a good one as well.

There have been a number of times where you do the typical atheistic thing where you dismiss logic and philosophy (seemingly to avoid it).  You question the definitions of infinity, even the use of the terms actual and potential infinities.  And demand that everything to be changed to dealing with infinities in math. 

If math has something to add to the discussion, then that is good.  However the OP was not about mathematical infinite sets that exists only in the abstraction of the mind.   It is about actual infinity, and infinity in regards to philosophy.   That you keep wanting to change things, says to me, that you are not talking about the same ideas....   I also think this is why you do not see the obvious contradictions.

1/2 + 1/4 + 1/8 +...<1     It is never equal to 1.    If you where to reach 1, then you would stop your infinite chain, and it would not be infinite.

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Actually they are about Zeno's arguments.... which you seem to be avoiding by changing them into something else. 

You're not only not good at math, you're also bad at the history of philosophy. I can't help you there if you remain stubborn about your falsehoods.

I may not be the best at math, but I can see that the infinite series being talked about will never end, and never be equal to the point that is being attempted to be reached.  Since an infinity by definition never ends... I don't think that throwing more infinities at it is the answer.

See my latest post. That there is an actual infinity.

Do you mean that 1 = 0.99999......

I think that says it all right there.