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Topic: Matheology § 233
Replies: 20   Last Post: Apr 4, 2013 10:16 AM

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 Virgil Posts: 8,833 Registered: 1/6/11
Re: Matheology � 233
Posted: Apr 2, 2013 6:07 PM

In article
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 2 Apr., 00:25, William Hughes <wpihug...@gmail.com> wrote:
> > On Apr 1, 11:08 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
> >

> > > On 1 Apr., 17:05, William Hughes <wpihug...@gmail.com> wrote:> On Mar 27,
> > > 8:55 am, WM <mueck...@rz.fh-augsburg.de> wrote:

> >
> > > > > Matheology § 233
> >
> > > > > The set of all termination decimals is a subset of Q. If the set of
> > > > > all terminating decimals of the unit interval is arranged as set of
> > > > > all terminating paths of the decimal tree,

> >
> > > > It is, of course, impossible to write this out
> > > > (the number of terminating decimals is infinite).

> >
> > > But
> >
> > Nope, no new arguments before you concede that
> > the bit about not being able to write stuff out
> > was nonsense

>
> Again you confuse different infinities!
> It is nonsense to claim the existence of all bits or digits of an
> actually infinite sequence of bits or digits.
> It is correct to claim the existence of every bit or digit of an
> infinite sequence that is defined by a finite formula such that every
> bit or digit in principle can be determined in finite time. (Potential
> infinity.)

They are equally sensible or nonsensical, as all such "existence" occurs
only in the "world" of imagination, and imagination is not hampered by
the constraints of any physical reality.
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