/prog/rammer here, need urgent help

hello /sci/, long time no see
There is currently a troll on /prog/, and would greatly appreciate your help.

Basically, the troll is trying to prove that 0.999~ =/= 1
Here are some of his arguments
http://stormtower.invisionplus.net/?mforum=stormtower&showtopic=97

I'm wondering if the maths genius' on this board can rip him apart? Thank you

>>24
What I AM doing, though, is contributing (in a tiny way so far) to the expansion of a field of knowledge that contains some of the deepest and most difficult truths discovered in the history of man.
Translation: I'm sitting up in my ivory tower contributing absolutely nothing tangible to the world