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Topic: § 488 Who said this?
Replies: 187   Last Post: May 7, 2014 10:06 AM

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mueckenh@rz.fh-augsburg.de

Posts: 16,232
Registered: 1/29/05
Re: § 488 Who said this?
Posted: May 3, 2014 5:39 AM
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On Saturday, 3 May 2014 10:25:00 UTC+2, Zeit Geist wrote:
> On Saturday, May 3, 2014 12:48:09 AM UTC-7, muec...@rz.fh-augsburg.de wrote:
>

> > On Friday, 2 May 2014 23:20:55 UTC+2, Zeit Geist wrote:
>
> >
>
> > > Can you please provide a Countable List
>
> >
>
> > Every list is countable.
>
> >
>
> > > of ALL Finitely Definable Real Numbers?
>
> > > Remember, this List must have a Finite Definition.
>
> >
>
> > I use set theory. All finite expressions in all possible (non-formal and formal) languages form a countable set. This is undisputed except by extreme-matheologians who wish to create uncountably many languages or uncountable alphabets. I do not argue with them.
>
> >
>
>
>
> But there are Uncountable many Languages.


As I said, I do not discuss with fools.

> Just pick one.

Impossible without a dictionary. A language has to be known by the user. For that sake there has to be a dictionary. You can costruct it, if you like, but there can never more than a finite number of languages exist.
>
>
>
>

> > A real number is defined by (at least) one or (frequently) more of those expressions. Therefore all real numbers form a subset of the set of all finite expressions. According to ZF set theory a subset of a countable set is countable.
>

>
> But how do you know that that countable subset is Finitely Definable?


I do not know it. I know that every subset of a countable set is countable in ZF.

>
> Give an Explicit Definition of that List.


Why? I show that the assumption of infinite lists, i.e., of bijections with |N, lead to contradictions with the rule that subsets cannot have larger cardinality than sets.

Regards, WM


Date Subject Author
4/29/14
Read § 488 Who said this?
mueckenh@rz.fh-augsburg.de
4/29/14
Read Re: � 488 Who said this?
Virgil
4/29/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
4/29/14
Read Re: � 488 Who said this?
Virgil
4/29/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
4/29/14
Read Re: � 488 Who said this?
Virgil
4/29/14
Read Re: � 488 Who said this?
FredJeffries@gmail.com
4/29/14
Read wTf
Brian Q. Hutchings
4/29/14
Read Re: � 488 Who said this?
Virgil
4/29/14
Read Re: � 488 Who said this?
Brian Q. Hutchings
4/30/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
4/30/14
Read Re: � 488 Who said this?
Virgil
4/30/14
Read Re: § 488 Who said this?
thenewcalculus@gmail.com
4/30/14
Read Re: § 488 Who said this?
FredJeffries@gmail.com
4/30/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
4/30/14
Read Re: § 488 Who said this?
FredJeffries@gmail.com
4/30/14
Read Re: � 488 Who said this?
Virgil
4/30/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
4/30/14
Read Re: § 488 Who said this?
FredJeffries@gmail.com
5/1/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/1/14
Read Re: § 488 Who said this?
FredJeffries@gmail.com
5/1/14
Read Re: § 488 Who said this?
FredJeffries@gmail.com
5/1/14
Read Re: � 488 Who said this?
Virgil
4/30/14
Read Re: � 488 Who said this?
Virgil
4/30/14
Read Re: � 488 Who said this?
Ralf Bader
4/30/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
4/30/14
Read Re: � 488 Who said this?
Virgil
4/30/14
Read Re: § 488 Who said this?
Ralf Bader
5/1/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/1/14
Read Re: � 488 Who said this?
Virgil
4/30/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
4/30/14
Read Re: � 488 Who said this?
Virgil
5/1/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/1/14
Read Re: � 488 Who said this?
Virgil
5/1/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/1/14
Read Re: � 488 Who said this?
Virgil
5/2/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/2/14
Read Re: ï¿∏ 488 Who said this?
Virgil
5/2/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/2/14
Read Re: � 488 Who said this?
Virgil
5/2/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/2/14
Read Re: � 488 Who said this?
Virgil
4/30/14
Read Re: � 488 Who said this?
Virgil
5/1/14
Read Re: § 488 Who said this?
Dan Christensen
5/1/14
Read Re: � 488 Who said this?
Virgil
5/2/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/2/14
Read Re: § 488 Who said this?
Dan Christensen
5/2/14
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Peter Percival
5/2/14
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Dan Christensen
5/2/14
Read Re: � 488 Who said this?
Virgil
5/2/14
Read Re: § 488 Who said this?
Dan Christensen
5/2/14
Read Re: § 488 Who said this?
Dan Christensen
5/2/14
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Peter Percival
5/2/14
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Roland Franzius
5/2/14
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Dan Christensen
5/2/14
Read Re: § 488 Who said this?
Peter Percival
5/2/14
Read Re: § 488 Who said this?
Dan Christensen
5/2/14
Read OT: Lord Longford (was Re: § 488 Who
said this?)
Robin Chapman
5/2/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/2/14
Read Re: § 488 Who said this?
Dan Christensen
5/2/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/2/14
Read Re: § 488 Who said this?
Dan Christensen
5/2/14
Read Re: � 488 Who said this?
Virgil
5/2/14
Read Re: � 488 Who said this?
Dan Christensen
5/2/14
Read Re: � 488 Who said this?
Virgil
5/2/14
Read Re: � 488 Who said this?
Dan Christensen
5/2/14
Read Re: � 488 Who said this?
Virgil
5/2/14
Read Re: � 488 Who said this?
Dan Christensen
5/3/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/3/14
Read Re: � 488 Who said this?
Dan Christensen
5/3/14
Read Re: � 488 Who said this?
Dan Christensen
5/3/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/3/14
Read Re: � 488 Who said this?
Dan Christensen
5/3/14
Read Re: � 488 Who said this?
Virgil
5/3/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/3/14
Read Re: � 488 Who said this?
Dan Christensen
5/3/14
Read Re: � 488 Who said this?
Virgil
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Virgil
5/6/14
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ross.finlayson@gmail.com
5/4/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/4/14
Read Re: � 488 Who said this?
Dan Christensen
5/4/14
Read Re: � 488 Who said this?
Virgil
5/3/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/4/14
Read Re: � 488 Who said this?
Dan Christensen
5/4/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: � 488 Who said this?
Virgil
5/3/14
Read Re: � 488 Who said this?
Virgil
5/3/14
Read Re: � 488 Who said this?
Brian Q. Hutchings
5/3/14
Read Re: � 488 Who said this?
Brian Q. Hutchings
5/3/14
Read Re: � 488 Who said this?
Virgil
5/2/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/2/14
Read Re: § 488 Who said this?
Dan Christensen
5/2/14
Read Re: � 488 Who said this?
Virgil
5/3/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/3/14
Read Re: � 488 Who said this?
Virgil
5/2/14
Read Re: § 488 Who said this?
Tucsondrew@me.com
5/2/14
Read Re: � 488 Who said this?
Virgil
5/3/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/3/14
Read Re: § 488 Who said this?
Tucsondrew@me.com
5/3/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/3/14
Read Re: § 488 Who said this?
Tucsondrew@me.com
5/3/14
Read Re: � 488 Who said this?
Virgil
5/3/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/3/14
Read Re: § 488 Who said this?
Tucsondrew@me.com
5/4/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/4/14
Read Re: § 488 Who said this?
Tucsondrew@me.com
5/4/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/4/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: § 488 Who said this?
Tucsondrew@me.com
5/4/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/4/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: § 488 Who said this?
Tucsondrew@me.com
5/4/14
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Virgil
5/5/14
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Virgil
5/3/14
Read Re: � 488 Who said this?
Virgil
5/3/14
Read Re: � 488 Who said this?
Virgil
5/3/14
Read Re: � 488 Who said this?
Virgil
5/2/14
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Virgil
5/2/14
Read Re: � 488 Who said this?
Virgil
5/2/14
Read Re: � 488 Who said this?
Virgil
5/2/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/2/14
Read Re: � 488 Who said this?
Virgil
5/2/14
Read Re: � 488 Who said this?
Virgil
5/2/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/2/14
Read Re: � 488 Who said this?
Virgil
5/2/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/2/14
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Virgil
5/3/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/3/14
Read Re: � 488 Who said this?
Virgil
5/3/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/3/14
Read Re: � 488 Who said this?
Tucsondrew@me.com
5/4/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/4/14
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Tucsondrew@me.com
5/4/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/4/14
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Tucsondrew@me.com
5/5/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/5/14
Read Re: � 488 Who said this?
Virgil
5/5/14
Read Re: � 488 Who said this?
Tucsondrew@me.com
5/5/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: � 488 Who said this?
Virgil
5/3/14
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Virgil
5/4/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/4/14
Read Re: � 488 Who said this?
Tucsondrew@me.com
5/4/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/4/14
Read Re: � 488 Who said this?
Dan Christensen
5/4/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: � 488 Who said this?
Tucsondrew@me.com
5/5/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/5/14
Read Re: � 488 Who said this?
Tucsondrew@me.com
5/5/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/5/14
Read Re: � 488 Who said this?
Virgil
5/5/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: � 488 Who said this?
Brian Q. Hutchings
5/3/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/3/14
Read Re: � 488 Who said this?
Tucsondrew@me.com
5/4/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/4/14
Read Re: � 488 Who said this?
Tucsondrew@me.com
5/4/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/4/14
Read Re: � 488 Who said this?
Tucsondrew@me.com
5/4/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/4/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: � 488 Who said this?
Tucsondrew@me.com
5/5/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: � 488 Who said this?
Virgil
5/3/14
Read Re: � 488 Who said this?
Virgil
5/4/14
Read Re: � 488 Who said this?
mueckenh@rz.fh-augsburg.de
5/4/14
Read Re: � 488 Who said this?
Dan Christensen
5/4/14
Read Re: � 488 Who said this?
Virgil
5/7/14
Read Re: § 488 Who said this?
thenewcalculus@gmail.com

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