/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

>>16
Are you proud of the fact that you'll spend the rest of your life "inventing" software with a finite lifespan? Does making ripples in the sea amuse your small mind? Mathematicians will keep the world running. They'll keep drawing the blueprints, you'll keep building their brainchildren. You would be nothing without the equations and theorems we labor over. Thousands of lines of code? That's nice. Try wading in the waters of creative genius for a change. But you've been glued to your monitor for so long that you've forgotten what it's like to have a true spark of intuition.