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Topic: Matheology § 154: Consistency Proof!
Replies: 101   Last Post: Nov 25, 2012 5:08 PM

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William Hughes

Posts: 1,786
Registered: 12/7/10
Re: Matheology § 154: Consistency Proof!
Posted: Nov 22, 2012 10:27 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Nov 22, 3:30 am, WM <mueck...@rz.fh-augsburg.de> wrote:
> On 21 Nov., 21:14, William Hughes <wpihug...@gmail.com> wrote:
>
>
>

> > > > > We cannot conclude from set theory that the digits on the right of the
> > > > > decimal point vanish.

>
> > > > Yes we can.
>
> > > No. Set theory does not destruct the set of all natural numbers. Set
> > > theory only shows that the set can be enumerated by the set of all
> > > even numbers, .i.e., all inidces disappear left and gather right.

>
> > Absolute nonsense.  This is not even wrong.-
>
> The typical answer of a man who has not understood. But my explanation
> may really be a bit too hard for you. So let us stay on a lower level
> and simply continue:
>

> > > > Yes we can.
>
> Can we etsimate by means of set theory how many digits *left* to the
> decimal point will be present in the limit (as calculated by
> analytical means) of the real sequence
>

> > > 01.
> > > 0.1
> > > 010.1
> > > 01.01
> > > 0101.01
> > > 010.101
> > > 01010.101
> > > 0101.0101
> > > ...

>
> ?
>
> Regards, WM


Yes, The set of digits left of the decimal point is the
empty set. Simplest argument. Start with

100.000...
10.000...
1.000...
0.1000...
0.01000...
...


The 1 does not exist in the limit. This 1 corresponds to
the digit with index 5. We conclude that for
each index the digit corresponding to the digit does
not exist in the limit. Thus the set of digits in the limit
is the empty set. Thus, in the limit, the set of digits to
the left of the decimal point is the empty set.
Note we can write this the other way round

0.01000...
0.1000...
1.000...
10.000...
100.000...
...

The 1 does not exist in the limit (where could it be?)
So having the limit of the series be oo does not change things




Date Subject Author
11/18/12
Read Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/18/12
Read Re: Matheology � 154: Consistency Proof!
Vurgil
11/18/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/18/12
Read Re: Matheology � 154: Consistency Proof!
Vurgil
11/19/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/19/12
Read Re: Matheology � 154: Consistency Proof!
Vurgil
11/19/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/19/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/19/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/19/12
Read Re: Matheology � 154: Consistency Proof!
Vurgil
11/20/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/20/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/21/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/21/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/21/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/21/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/21/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/21/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/21/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/21/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/21/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/21/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/21/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/21/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/21/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/22/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/22/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/22/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/22/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/22/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/22/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/22/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/22/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/22/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/22/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/24/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/24/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/24/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/24/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/25/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/25/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/25/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/25/12
Read Re: WMatheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/22/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/22/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/22/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/22/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/22/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/21/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/21/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/21/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/21/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/21/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/21/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/22/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/19/12
Read Re: Matheology � 154: Consistency Proof!
Vurgil
11/20/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/20/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/22/12
Read Re: Matheology § 154: Consistency Proof!
David Valdez

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