Tuesday, June 25, 2013

What Achilles can or can not do is not deducible from mathematics

 

"What Achilles can or can not do is not deducible from mathematics. It depends only on what the relevant laws of physics say . If they say that he will overtake the tortoise in a given time, then overtake it he will . If that happens to involve an infinite number of steps of the form ‘move to a particular location’ , then an infinite number of such steps will happen. If it involves his passing through an uncountable infinity of points, then that is what he does. But nothing physically infinite has happened."

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