Re: Very basic mistakes

In article <48cdd5b5$0$6675$9b4e6d93@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"Salviati" <eckard.blumschein@xxxxxxxx> wrote:


I agree with the mathematicians that "0.999... does not differ from 1.000...
iff ..." means that we assume all of indefinitely much nines or zeroes,
respectively, are given. However, I do not require an arbitrary definition
for that. According to my reasoning, infinity, continuum, irrational
numbers, real numbers, and non-linearity belong to an ideal realm that is
quite different from the ideally discrete realm of points and rational
numbers.


In what way, conceptual or mathematical, are the rational numbers
discrete? Between any two rationals you'll find infinitely many other
rationals.
.

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