Have you read...

your Numerical Recipes in * today?

Do you believe in Infinity?

>>2
Only in the sense that there are an infinity of natural numbers and that there are infinity of statements which are true within some axiomatic system. If you try to make it something unprovable, I don't think you should post here, but instead go back to that other message board you used to troll.

>>3
infinity of natural numbers
Have you seen it or it were some voices in your head, that said there're no largest number?

other message board you used to troll.
define "troll"

Have you read your Have you read your SICP today?

>>4
Let's assume there such a largest number n.
Peano's axioms state that n has a successor (which we can call n' or n+1 in simpler terms) which is how we define a greater number. Contradiction.
There is no greatest number in N, but there is the smallest number 0.
If you try to define the set as finite, you'll end up with the same trivial contradiction which shows that there will always be more elements.
I'm guessing you reject any kind of inductive reasoning as well, and you don't accept any abstract concepts unless they are present in this one specific mathematical object we call our universe.

>>6
Peano was a jew. Your whole argument has been decimated.

>>7
Ad-hominem's are not a valid reasoning technique.
You're claiming there are such things as "natural numbers", right? Otherwise we wouldn't be having this discussion in the first place. You're going to need a set of axioms to define them. Peano's axioms (or even only 2 simple one-line statements) are enough to show that the set of natural numbers is infinite, in the sense that there's no greatest number. If you don't like Peano's axioms, there are many other axioms which can be shown to be isomorphic to Peano's and which also define the set just as well. You'll end up with the same conclusion regardless.

>>6,8
You seem to have lots of time to waste. Why don't you go do something productive, such as reading SICP, instead of arguing with a troll?

>>9
Sorry, I was feeling a bit bored. I've already read my SICP.
I'll be taking my leave for today.

>>6
Peano's axioms
So Peano is your http://en.wikipedia.org/wiki/Moses then?

>>11
Did you really have to link to wikipedia? I'm pretty sure almost everyone knows Moses.

>>12
everyone knows Moses
Why should everyone know this religious figure? In which way he is better than Peano or Cantor?

Citing wikipedia
Being an asshat
How is that infinite compression algorithm coming along, FrozenVoid