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

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: Matheology � 154: Consistency Proof!
Posted: Nov 21, 2012 4:19 PM

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

> On 21 Nov., 17:41, William Hughes <wpihug...@gmail.com> wrote:
> > On Nov 21, 12:00 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
> >

> > > On 21 Nov., 16:54, William Hughes <wpihug...@gmail.com> wrote:
> >
> > <snip>
> >

> > > > The limit is {}.  {} is not a real number.  {} does not have a
> > > > reciprocal

> >
> > > But the numbers allowed by an empty set of decimal left to the point
> > > has a reciprocal, namely a value larger than 1.

> >
> > Absolute nonsense.  There are no numbers "allowed by an empty set".
> > How can a set consisting of no numbers have a reciprocal?

>
> Not nonsense but as usual you have not understaood.
> There are not numerals left of the decimal point, but there may be
> numerals right of the decimal point. So there is a reciprocal of
> 0.abc... between 1 and oo.

Since the so-called "digits" on either side of what you miscall a
"decimal" point eventually exceed every finite quantity, whatever else
that point may be, it is not a decimal point.

At least not outside of Wolkenmuekenheim!
>
> But that is not so important. Important and mathematical is only this:
>
> Every infinite sequence of real numbers either has no limit or has a
> limit in the real numbers or the improper limit oo. In any case there
> are never two or more limits! If existing, it can be calculated
> according to Cauchy. If set theory supplies a tool, then the limit can
> be calculated according to Cantor too. Or we can find some
> restrictions in this way.
>
> Here we find a funny result like that: Cauchy states, that there is a
> house. Cantor says that there are no stones. WH says that there is no

Most houses outside of Wolkenmuekenheim are built of wood or brick or
both so do not contradict anything but WMatheology.
>
> Of course everybody can claim what he likes. It is not very new. There
> are some matheologians who claim that "there" are numbers which nobody
> can name.

In fact anyone and everyone accepting any standard model of the real
numbers system, and most non-standard models, knows that!
--

Date Subject Author
11/18/12 mueckenh@rz.fh-augsburg.de
11/18/12 Vurgil
11/18/12 William Hughes
11/18/12 Vurgil
11/19/12 mueckenh@rz.fh-augsburg.de
11/19/12 Vurgil
11/19/12 mueckenh@rz.fh-augsburg.de
11/19/12 William Hughes
11/19/12 mueckenh@rz.fh-augsburg.de
11/19/12 Vurgil
11/20/12 mueckenh@rz.fh-augsburg.de
11/20/12 Virgil
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/22/12 mueckenh@rz.fh-augsburg.de
11/22/12 William Hughes
11/22/12 mueckenh@rz.fh-augsburg.de
11/22/12 William Hughes
11/22/12 mueckenh@rz.fh-augsburg.de
11/22/12 William Hughes
11/22/12 mueckenh@rz.fh-augsburg.de
11/22/12 William Hughes
11/22/12 mueckenh@rz.fh-augsburg.de
11/22/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12
11/23/12 Virgil
11/24/12 mueckenh@rz.fh-augsburg.de
11/24/12 Virgil
11/23/12 Virgil
11/24/12 mueckenh@rz.fh-augsburg.de
11/24/12 Virgil
11/25/12 mueckenh@rz.fh-augsburg.de
11/25/12 Virgil
11/25/12 mueckenh@rz.fh-augsburg.de
11/25/12 Virgil
11/23/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12 Virgil
11/23/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12 Virgil
11/23/12 Virgil
11/23/12 Virgil
11/22/12 Virgil
11/22/12 Virgil
11/22/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/22/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/22/12 Virgil
11/21/12 Virgil
11/21/12 Virgil
11/21/12 Virgil
11/21/12 Virgil
11/21/12 Virgil
11/21/12 Virgil
11/22/12 mueckenh@rz.fh-augsburg.de
11/19/12 Vurgil
11/20/12 mueckenh@rz.fh-augsburg.de
11/20/12 Virgil
11/22/12 David Valdez