Phil Scott
Member
The paradox here is normally attributed to Zeno of Elea, a Greek philosopher/mystic who apparently claimed that all motion was impossible and, I think, that reality was generally an illusion. I say "apparently", because his arguments only survive in the words of his critics. In one of his paradoxes, he imagines a race between a tortoise and Achilles, where the tortoise gets a head start. Achilles can never overtake the tortoise, because he must first at least get half way to the tortoise. And then he must cover at least half the remaining distance. And then he must cover at least half the distance left. And so on, and so on.This reminds me of the time a philosophy professor spoke about (and I don't recollect the exact words) the imperfection of logic. I vividly recall the example. He picked someone and told her that he could use logic and prove that it would be impossible for her to make it from one side of the room to the other. He said in order to make it from one side to the other, she'd have to cross the halfway point. He continued and said that she wouldn't even make it that far because from where she is and the halfway point is yet another halfway point. The expressed idea was that she won't make it across the room because there's an infinite number of halfway points.
He assured us there was no flaw in the logic, yet the conclusion was absurd, as it was obvious that we could walk across the room. All of this was to point out something about the limits of logic.
My objection to the argument is to just to say: sure, I have an infinity of half way points to cross. But I have an infinity of time slots (each half the size as the previous) in which to do it. I'll cover half the space in half the time, so it's totally doable.
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The train doesn't make a first move. Why are you asking me to argue for the opposite of my position?Then tell me how a train makes a first move that is anything but the smallest move possible.
We're done here. I don't think I've come across someone who is so blind to question begging. It's simultaneously impressive and boring.
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