1 != 0.99...

Consider the floor function. It ignores the decimal part (everything right of the decimal point) of a number.

Thus, floor(0.999...) = 0, and if 0.999... = 1, floor(1) = 0.
However, floor(1) = 1, therefore we must conclude that either 1 = 0, or the hypothesis was wrong.

>>13
you used the idea of limit, geoius.  you can't hide from the mind beast we call infinity.  and all intellectual disciplines can be and should be examined for their underlying construction, otherwise you get too wedded to the idea that logical conclusions from assumed statements are the same thing as universal (as if godly) facts