inkblot

I know a guy that's a lot like that. Minus the poor part. He's got like 15 handmade axes right now. Does he play through a Swart AST?

There's a fundamental wrong assumption in that paradox, assuming that a mathematical infinity maps onto reality. Reality seems to be discrete, i.e. if you break it down far enough you end up with the "smallest possible size" - see Planck Length. I would argue that the fundamentally wrong assumption is that an infinite sum of lengths must result in infinite length. If this were true, it would be impossible to have asymptotic behavior, which in reality is readily apparent in simple mathematical functions. The geometric series describes Zeno's motion paradox. In case anyone wants to argue that the sum of the series only converges to 1 and never reaches it, therefore Zeno was right, should note that even if you don't believe the series reaches 1, it does get bigger than zero - which is where Zeno thought it was stuck. It would seem obvious that if you can travel 99.999999% of the distance you can travel that last bit too

This .999.... Thing dates all the way back to plato (or was it socrates?). Anyway - he said that to first cross the coliseum you have to cross the first half. To finish from the you again have to cross the first half of what is left. And so on and so on. How can you ever get to the other side? Please use terms plato would understand in your answer. It was Zeno. I'd hand him an introductory calculus text and let him work it out for himself.