Quote (RainyDay @ May 22 2010 03:23am)
Yes it is?
.00...1 is shorthand notation for what people are attempting to express as .0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001, only it assumes an infinite number of zeros
Several properties of real numbers easily prove that numbers such as this are not real numbers.
As AiNede said (and as I already said in this thread), infinitesimals are not real numbers.
Just think about it: how can you have a 1 *after* an INFINITE number of zeros? The zeros don't end. They go on. Forever. Nothing comes after them except for more zeros.
This post was edited by chone on May 21 2010 10:43pm