QUOTE(Raijinili @ Mar 29 2011, 04:06 PM)
What he says isn't (as far as I know) mathematically inconsistent. He doesn't accept that there's always a larger number, so the proof that there's always a larger prime (which requires, given primes p_1, p_2 ..., p_n, that p_1*p_2*...*p_n exists) just doesn't work.
True, he just takes to account that there are a finite amount of numbers so there's a finite amount of primes, but then questions arise when looking at the patterns we know from primes:
#1: What is the last number, if there is only a finite amount of numbers?
#2: Is the last number prime or composite? At the very least he should agree that when you add 1 to a number, its prime factors change completely. So if you add 1 to finally hit the final number in this "finite" set, does it become a prime or a product of all of the primes?