Wait what? (1+2+3+4+...

[Bridge]

How do you calculate with something that is infinite? I'm no math-head but it seems like infinity is something that can't be measured and therefore have no place in a calculation? Or maybe I'm too stupid?

No, that is essentially what I am arguing. It's not a tangible number, and the proof that BAndrew posted uses a concept called limits. In this case it's expressed by "lim(x->y)" - colloquially, it's often read as "x approaches y". The entire crux of the issue is that limits are used to make impossible calculations possible and they give approximate values - and this is being presented as incontrovertible proof that the endless sequence of 0.000… infinitely many decimals … 0001 converges at a certain point and becomes nonexistent, when common sense dictates that it's impossible for something to be so small that it doesn't exist. Infinity and infinitesimal numbers are not real numbers to be used in calculations because they don't have any real representation and therefore are impossible to use in calculations.

You are not providing any proof of your statements.

Because my argument is that there is no proof. I reject the facile proofs on the grounds that it assigns fixed values to unknowable concepts.

But if you feel so strongly about it, prove to me that "the limit of 1/n as n approaches infinity is 0". Without using limits or algebra or anything which is designed for real numbers.

Then perhaps the way you perceive the universe is wrong?

Oh yes, and it almost certainly is. However, I'm not the one making assumptions.