You'll find that almost all of those are actually only true if you first assume that .999 is not 1. 

In case you haven't noticed, that post was edited... 

Well all of your other 'proofs' are wrong because you first have to assume that .999 is not 1 in order for them to work. Try it. 

If you took the time (IMPOSSIBILITY AHEAD!!!) to make a graph with every single decimal between 0 and 1 and the graphed y=.999~ and y=0, you would see that they are on different positions. Especially if you made the intervals big enough. Picture it. Please. 

y=1 you mean. 

There's no ambiguity at all about my question. 

lolwut? 

The density property is one way of proving .99... equals 1, and not a way of disproving it. 



He's referring to the fact that the reals are constructed from Cauchy sequences of rational numbers, and it's said that the reals are "dense in the rationals" because a real number can be found between every two distinct rational numbers. Ironically, the density of the reals forms the basis of the analysisbased proof that 0.9~ DOES equal 1: 

If only we had 6 fingers on each hand instead of 5, and had a mathematical system based on the number 12. 

Everything works out in the end, sometimes even badly.


I wish you'd terminate. 



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