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Technology, Science & Alt Science / Re: .9999... equals 1?
« on: March 11, 2007, 02:10:42 PM »no, i didnt mean a number smaller than zero, I meant after as in next on the number line, greater than, etc.
Right.There is no smallest number after zero. You don't even need to resort to irrationals to see that, since between any two numbers there are not only infinitely many irrationals, there are infinitely many rationals as well. This is pretty obvious in the case of rationals; because if you have any number bigger than zero, you can divide that number by two and get a smaller number bigger than zero.
By this, of course, Skeptical meant no smallest number after zero on the number line.