**response to overdoze**
I'm not satisfied with you answer to Zeno's paradox. I'll break apart your argument here.

Basically, assuming you travel with constant speed, if you divide distance travelled into smaller chunks you will cover each chunk in appropriately less time.

You have changed the nature of the problem. The way it's set up, the problem has nothing to do with time. The problem that I posted here only has to do with distance.

Since each chunk of the distance corresponds to an appropriately small piece of time, adding all the chunks of distance and all the time gives you a finite time for covering the entire distance.

This sentence is confusing. I am only going to discuss distance here. What I think you are getting at is this: You have a distance. All of the segments, that make up that distance add up to that distance, no matter how many of them there are. Duh, simple.

Yes it's easy to see a solution when you view it post hoc, after the fact. But you have changed the nature of the problem again. What your reasoning relies on is that the distance has already been traveled, and then going back and showing how. The actual Zeno's paradox is showing the movement in process. The goal is never reached in the first place, so you can't start your math from there. Does this make sense?

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Now I want to discuss what you have to say about infinities and degrees in respects to Xenu's paradox.

If you divide a distance into infinitely many chunks, this set of chunks will have a certain cardinality. In one-to-one correspondence to it will be the infinity of time intervals, each corresponding to its own chunk of distance. So as long as you keep track of that one-to-one correspondence you will be fine. You can split the distance into an infinity of segments, and you can put it back together again to get the same distance. For a slightly different distance the set of segments of the same length will have a slightly different cardinality, so adding it back together will give you back that slightly different distance.

Again, this can only be done post hoc (after the fact). In order for this to work you have to start out saying that the segment is two cm long, chop it into the infinite segments and then attach a degree to it. What if I started with just the infinite segments. Add up all their distances and what do you get? You won't get 2 cm.

"Wait a minute" you might say. When I give you the infinite segments, I also have to give you a degree with it. For instance a degree of "2 cm". This doesn't make sense either. This implies the answer is the problem. It's like asking what is the color of Chester's white horse? It's a cop out.

-Xenu