Date: Mar 23, 2013 12:05 PM
Subject: Re: Matheology § 224
On 23 Mrz., 01:08, Virgil <vir...@ligriv.com> wrote:
> In article
> WM <mueck...@rz.fh-augsburg.de> wrote:
> > On 22 Mrz., 16:24, William Hughes <wpihug...@gmail.com> wrote:
> > > > And what is in your opinion beyond any finite set of lines?
> > > There is no such thing
> > > as "beyond every finite set of lines".
> > > Infinite sets are different from finite sets
> > > but they do not contain anything
> > > "beyond any finite set".
> > The decimal expansion of pi is not beyond any finite (i.e. rational)
> > approximation?
> Since the decimal expansion of p is made up of digits in sequence, WM
> needs to tell us which is the first of its digits tot exceeds finite
If there is not more then all finite approximations, then there is no
uncountability, because all rational approximations belong to a
Same holds for the FISONs of |N. Without a set that has more than
every finite number of naturals, there is no uncountable power set of