"WM" <firstname.lastname@example.org> wrote in message news:email@example.com... On 12 Apr., 21:42, "AMiews" <inva...@invalid.com> wrote: > "WM" <mueck...@rz.fh-augsburg.de> wrote in message > > WM <mueck...@rz.fh-augsburg.de> wrote:
>> wrong. repeating sequences of bits in an infinitely long string indicate >> representation as a fraction.
>Since there is no topology defined for Cantor's binary sequences, >there is no chance to determine a limit of wmwmwmwm...
balonie, you are only complaining about the three dots or periods " ... " indicating repeating in that fashion, so get over it...
> >> >Most of them cannot be written by finite expressions. And they cannot >> >be written as infinite expressions. >> >> wrong. you seem ill at ease with infinite representations of numbers
>Have you ever seen an infinite expression? Do you think that 0.111... >is an infinite expression?
it is short hand for one, the "..." mean repeated, usally one uses a bar over the last repeated numbers, but cant do that with text.
> 1/9 or 0.111... are very finite expressions
yes and you are fussing over notation convention, meaning you are unfamiliar with math(s)
>for infinite sequences. But those sequences are not available.
why ? where did they go ? if they were infinite, they would fill up your room...
>And >every d_n of a numerical Cantor-list is the last digit of a >terminating decimal. >Never, do you understand, never anybody has seen or used a d_n that >does not belong to a terminating decimal.
you seem confused by standard math notation here. Irrationals no one has seen the end.
> >Therefore Cantor proves that the countable set of rationals is >uncountable.
that is what you say, but study up on common math notation first.