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

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Posts: 18,076
Registered: 1/29/05
Re: Matheology § 233
Posted: Apr 2, 2013 4:10 PM
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On 2 Apr., 00:25, William Hughes <> wrote:
> On Apr 1, 11:08 pm, WM <> wrote:

> > On 1 Apr., 17:05, William Hughes <> wrote:> On Mar 27, 8:55 am, WM <> 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

Regards, WM

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