OT: but Mr. Architect, why can't you make a perfect world?

Tolkien · #1 October 12th, 2009, 08:30 PM

Silly Omni. If it were really an infinite amount of sheep, having an infinite amount of wolves would mean absolutely nothing. Yay for theoretical math!

Omnirizon · #2 October 12th, 2009, 08:46 PM

Quote:

Originally Posted by Tolkien

Silly Omni. If it were really an infinite amount of sheep, having an infinite amount of wolves would mean absolutely nothing. Yay for theoretical math!

yest but they are countably infinite, and since with infinite resources there is no way for wolves to die (from hunger of lack of sheep), only sheep can die (by being eaten by wolves). so eventually, wolf population will reach the critical mass needed to kill sheep quicker than they can breed.

chrispedersen · #3 October 14th, 2009, 10:21 AM

Quote:

Originally Posted by Tolkien

Silly Omni. If it were really an infinite amount of sheep, having an infinite amount of wolves would mean absolutely nothing. Yay for theoretical math!

That isn't true. At least according to my theoretical math class many years ago.

Series go to infinity with different speeds and thus have different sizes.

Infinity / Infinity can be any answer you want - depending on the series involved.