Date: Dec 9, 2012 4:15 AM
Subject: Re: fom - 01 - preface
On 8 Dez., 23:42, Virgil <vir...@ligriv.com> wrote:
> In article
> > A question: Do you believe that there are more than countably many
> > finite words?
> Only if words can be built from infinite alphabets.
Wrong. A word is always finite. All finite subsets of |N, for
instance, form a countably set. You are very uninformed!
> > Do you believe that you can use infinite words (not finite
> > descriptions of infinite sequences).
> If an infinite word can be finitely referenced, just as so many infinite
> decimals are finitely referenced, why not?
> > Do you believe that you can put in order what you cannot distinguish?
> Given any pair of decimal numerals, they can be correctly ordered in
> finite time. Which requires, among other things, distinguishing them.
> --- Zitierten Text ausblenden -
But how do you get any finite sequence of digits of the real number r?
You get it from a finite definition!