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Topic: Matheology § 200
Replies: 40   Last Post: Jan 29, 2013 7:33 PM

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William Hughes

Posts: 1,818
Registered: 12/7/10
Re: Matheology § 200
Posted: Jan 26, 2013 10:08 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Jan 26, 1:42 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
> On 26 Jan., 13:06, William Hughes <wpihug...@gmail.com> wrote:
>
>
>
>
>
>
>
>
>

> > On Jan 26, 12:52 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
>
> > > On 26 Jan., 12:31, William Hughes <wpihug...@gmail.com> wrote:
>
> > > > On Jan 26, 9:24 am, WM <mueck...@rz.fh-augsburg.de> wrote:
>
> > > > > Matheology § 200
>
> > > > > We know that the real numbers of set theory are very different from
> > > > > the real numbers of analysis, at least most of them, because we cannot
> > > > > use them. But it seems, that also the natural numbers of analysis 1,
> > > > > 2, 3, ... are different from the cardinal numbers 1, 2, 3, ...

>
> > > > > This is a result of the story of Tristram Shandy, mentioned briefly in
> > > > > § 077 already, who, according to Fraenkel and Levy ["Abstract Set
> > > > > Theory" (1976), p. 30] "writes his autobiography so pedantically that
> > > > > the description of each day takes him a year. If he is mortal he can
> > > > > never terminate; but if he lived forever then no part of his biography
> > > > > would remain unwritten, for to each day of his life a year devoted to
> > > > > that day's description would correspond."

>
> > > > > This result is counter-intuitive,
>
> > > > Correct.   But counter-intuitive does not mean contradictory.
> > > > Outside of Wolkenmeukenheim, the limit of cardinalites is not
> > > > necessarily equal to the cardinality of the limit.-

>
> Aside: Of course this nonsense shows already that set theory is such.
> A limit is  the continuation of the finite into the infinite. But that
> is not used in my proof.
>
>
>

> > > Obviously you have not yet understood?
> > > In my proof the cardinality of the limit in set theory and the
> > > cardinality of the limit in analysis are different.

>
> > Nope In analysis you take the cardinalities
> > of a sequence of sets, i.e. take a sequence of numbers,
> > and calculate a limit.  However, this limit is not the
> > cardinality of a limit set.
> > In anylysis you calculate
> > the limit of the cardinalities not the cardinality of
> > the limit.-

>
> You are not well informed. Read my proof again (and again, if
> necessary, until you will have understood, if possible): In analysis
> you calculate the limit. This limit contains numbers or (in the
> reduced case of my proof) bits 0 and 1.


Nope. The limit is a single number. In analysis there is no
limit set.



Date Subject Author
1/26/13
Read Matheology § 200
mueckenh@rz.fh-augsburg.de
1/26/13
Read Re: WMatheology � 200
Virgil
1/26/13
Read Re: WMatheology § 200
mueckenh@rz.fh-augsburg.de
1/26/13
Read Re: WMatheology � 200
Virgil
1/26/13
Read Re: Matheology § 200
William Hughes
1/26/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/26/13
Read Re: Matheology § 200
William Hughes
1/26/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/26/13
Read Re: Matheology § 200
William Hughes
1/26/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/26/13
Read Re: Matheology � 200
Virgil
1/26/13
Read Re: Matheology � 200
Virgil
1/26/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/26/13
Read Re: Matheology � 200
Virgil
1/26/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/26/13
Read Re: Matheology § 200
William Hughes
1/26/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/26/13
Read Re: Matheology � 200
Virgil
1/26/13
Read Re: Matheology § 200
William Hughes
1/26/13
Read Re: Matheology � 200
Virgil
1/27/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/27/13
Read Re: Matheology § 200
William Hughes
1/27/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/27/13
Read Re: Matheology � 200
Virgil
1/28/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/28/13
Read Re: Matheology � 200
Virgil
1/28/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology � 200
Virgil
1/27/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/27/13
Read Re: Matheology � 200
Virgil
1/26/13
Read Re: Matheology � 200
Virgil
1/26/13
Read Re: Matheology � 200
Virgil
1/26/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/26/13
Read Re: Matheology � 200
Virgil
1/26/13
Read Re: Matheology � 200
Virgil
1/26/13
Read Re: Matheology § 200
J. Antonio Perez M.
1/27/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/27/13
Read Re: Matheology § 200
mueckenh@rz.fh-augsburg.de
1/27/13
Read Re: Matheology � 200
Virgil

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