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.

>>4
the idea of infinity is the pivotal concept.  it's pretty fuckin' abstract, albeit almost boringly familiar to an experienced student, enough to have long left behind the discomfort of not really knowing what the fuck and continuing on the merry way regardless