Does it? proof please?
How infinitely many elements can have a sum?0.999... is DEFINED AS the sum of the geometric series...
Sigh, no it is the limit of n approaching infinity. It never actually reaches infinity just as you can never write 0.999... out in full. This is barely above high school mathematics and really simple to understand if you read it and tried to learn something.Organic said:How infinitely many elements can have a sum?
All we can say is that they are approaching the sum, but never reaching the sum.
Shortly speaking, this is the all idea of being infinitely many ... .
Standard Math breaking its own rules by saying that .999... = 1
don't you agree that for every non-zero real x, it is correct that:Organic said:Demonstrate a zero gap between 0.999... and 1
Good post pig. As Chroot mentioned already, there is no controversy about this among professional mathematicians. Organic has admitted many times that the meaning he gives to many terms is not standard (although sometimes he forgets about it in these discussions).pig said:don't you agree that for every non-zero real x, it is correct that: |1 - 0.999...| < |x| ?
since by substracting 0.999... from 1 we get infinitely many 0s after the decimal point, the result is smaller than any number which has a non-zero digit.
unless you consider things which make no sense like "0.000...0001" real numbers.
and that leaves zero as the only possible solution in R.
No.Organic said:Sure Chroot, it is closed exactly like Lord kelvin once said about Physics, and then Plank came ...