Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Virgil

Posts: 8,833
Registered: 1/6/11
Re: Matheology � 233
Posted: Apr 2, 2013 6:07 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article
<0fa962ac-5f63-4f00-badf-c0ff34f12f8c@r8g2000vbj.googlegroups.com>,
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.
--





Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.