Physicist frequently use infinity when talking about fields (ex. V = integral of E*dr from 0 to infinity) but if the fields were infinite, be they gravitational or electric, they would span the entire universe and all things effected by it would collapse into a single, crushing point. This has clearly not happened and is not happening. QED, infinity is not real.
dubs maximus !
It probably should still be an open problem, as to whether the series 1 / n^2 is truly bounded..? the remaining fractions are kind of unstable as far as i can tell, and i don't like it =) there's an entire infinity for things to go wrong....
I did test the first 3 Billion(!) terms (took a couple of minutes in octave), and it was still a fair way away from 2 though, and slowing..