Unlike most writers of philosophical physics, or in my case fundamental physics, I came on Zeno's Paradoxes and Perminides backwards. Instead of reading his series of Paradoxes and coming up with solutions, I was working on solving the whole question of parsing time and space and I "finished" with my self described elegant solution (quantum time, and probably multiple clock times along with quantum gravity from the tendency of quantum time to go non-linear which is why space curves, the time is going non-linear) which primarily came from Einstein and to a greater or lesser degree from hologram theory. You can find this in the Einstein Hologram Universe soon to be updated with Non-Linear Time and the Einstein Hologram Universe.
Anyway, I was being smug, when a brilliant Greek pointed out to me that what I was writing appeared to be what was written 2500 years ago. An investigation initially would have indicated that these were clever, but not particularly earth shattering discussions centered around the very issues addressed in Non-Linear Time Theory; they being far from solutions to the great mysteries of our time (unified field, dark matter, spacial expansion for example, all of which are answered intuitively by Non-linear time Theory-and in this blog (see prior entries) in case you are interested in seeing it before it's republished).
However, the flip side of this is that Perminides and Zeno's work turned out to be based on mere scraps of of history. It would be like describing the old testament, the new testament or the koran with only one page. If someone wants to write an interesting paper, they could pick the right page to do this from each of those books. But that is a different story. The real story is that Perminides and Zeno probably spent a lot more intellect and perhaps (the theory of this story) examined the math of the universe more deeply. It assumes that Socrates, from whom much of Zeno's work is derived, may have been less mathematically inclined and may have otherwise reflected a much deeper understanding of our universe than is reflected by the minimal disclosure.
I treat many of the other historical aspects cavalierly in this same way, but it makes for an interesting examination, not a historically accurate one.
The fact that so many people still write on these paradox reflects our continuing interest in parts of the universe which make us question reality which we should. A paradox which I have not found discussed as a paradox, but which is probably discussed as a paradox somewhere out there, is the infinite theory of our universe, the onion of knowledge of fundamental physics. While Non-Linear Time theory provides explanations (in some cases more than one) for the mysteries of fundamental physics discussed above, when you get to the single non-linear time particle that contains everything in our universe and is the explanation for everything we understand, we have done nothing more than take all of our mysteries and hide them behind something that exists in an environment (without linear time of space) that we cannot understand and which opens an even bigger set of questions. It allows for either time travel or pre-determination but its unlikely it provides for both, although in this story I play loosely with these ideas, just wait.
Intriguing? Here are some articles which I could spend more time discussing but they do a better job than me. On last, repetitive note, is that I came across someone asking if there was one article that discussed all of Zeno's paradoxes and the answer is that if there were as many as Socrates suggests, then we have lost more than half of them and it is clear that even more of Zeno's and Parminides' work has been lost to time, at least for now.
http://plus.maths.org/content/mathematical-mysteries-zenos-paradoxes : Reflects that we still have similar circumstances in relativity today
http://mathworld.wolfram.com/ZenosParadoxes.html : my favorite, while wholly in adequate as a discussion of Zeno (only one paradox is discussed at length) it has a great joke on the whole issue that gives it good perspective.
http://www.iep.utm.edu/zeno-par/
http://plato.stanford.edu/entries/paradox-zeno/ Part of the cabal (and I am totally joking here) that stands in the way of my nobel prize.
https://www.princeton.edu/~achaney/tmve/wiki100k/docs/Zeno_s_paradoxes.html
http://simple.wikipedia.org/wiki/Zeno's_paradoxes-Wiki is both wonderful and awful. It reflects the internet
http://en.wikipedia.org/wiki/Zeno's_paradoxes
And lest you think Zeno is the only provider of paradoxes (we have the entire universe)
http://en.wikipedia.org/wiki/List_of_paradoxes
I'll have one more mention of this before we're done.
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