Tuesday, March 25, 2008

Simon's Paradox

Here's a derivation of Zeno's Paradox:

If Simon is given a piece of toast, he will break it into two equal pieces and drop one piece. The remaining piece will then be broken into two pieces and the cycle will continue. Logic dictates that Simon will never run out of toast, since he always holds onto a piece of it.

Zeno used these paradoxes to show that motion is nothing more than an illusion, using logical steps to demonstrate the impossible. Simon's Paradox is easy to refute, since observation will show that not only will Simon eventually run out of toast, but that he will then hide most of the discarded pieces under the couch.

2 comments:

John Goodrich said...

So... does he observably eat any of the toast?

The Beast said...

Infants actually absorb nutrients through their cheeks, which is why they smear so much of their food around their face. That's also why I never clean him up after dinner, but try to explain that to my wife.