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Seems to me that there is no "logical fallacy" in Zeno's paradoxes, merely a false assumption or two. A specious argument is not the same as a logical fallacy. If I said something like "the double-slit photon test cannot produce an interference pattern" there would be no error in my logic, but I'd still be wrong.
Of course, there may be an error in my logic......
Thanks for the link amischiefr. The wiki was very educational for me. All I can say is that I'm glad I studied engineering where occam's razor rules. ie: I can simply assume that logic works unless or until an actual case turns up where it doesn't work. I don't have to worry about whether logic is logical!