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Topic: Matheology § 203
Replies: 202   Last Post: Feb 10, 2013 3:34 AM

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mueckenh@rz.fh-augsburg.de

Posts: 13,482
Registered: 1/29/05
Re: Matheology § 203
Posted: Jan 30, 2013 4:37 AM
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On 30 Jan., 10:13, Virgil <vir...@ligriv.com> wrote:
> In article
> <b79952f1-a65c-4b62-9cb4-5a358b78b...@4g2000yqv.googlegroups.com>,
>
>  WM <mueck...@rz.fh-augsburg.de> wrote:

> > You can prove something for all natural numbers, but not for a larger
> > set.

>
> You can prove that the set of naturals can be injected into a proper
> subset of itself. n --> n+1 is such an injection.


In fact this property only shows potential infinity. You prove
something for every n but not for all elements of the set.

> Any set of objects
> with this property (of being injectable to a proper subset of itself) is
> by definition actually infinite.


So what? Similarly we can define: Every set of more than ten natural
numbers and sum less than 5 is by definition actually finite.
Nevertheless there is no actually finite set of natural numbers.

Regards, WM


Date Subject Author
1/29/13
Read Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
Read Re: Matheology § 203
William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
Read Re: Matheology § 203
William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
Read Re: Matheology § 203
William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
Read Re: Matheology § 203
William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology � 203
Virgil
2/2/13
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mueckenh@rz.fh-augsburg.de
2/2/13
Read Re: Matheology § 203
William Hughes
2/2/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/2/13
Read Re: Matheology § 203
William Hughes
2/2/13
Read Re: WMytheology � 203
Virgil
2/2/13
Read Re: WMytheology § 203
fom
2/2/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/2/13
Read Re: Matheology § 203
William Hughes
2/2/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/2/13
Read Re: Matheology § 203
William Hughes
2/2/13
Read Re: Matheology § 203
William Hughes
2/3/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/3/13
Read Re: Matheology § 203
William Hughes
2/3/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/3/13
Read Re: Matheology � 203
Virgil
2/3/13
Read Re: Matheology § 203
William Hughes
2/3/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/3/13
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fom
2/4/13
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mueckenh@rz.fh-augsburg.de
2/4/13
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fom
2/5/13
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mueckenh@rz.fh-augsburg.de
2/5/13
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fom
2/5/13
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mueckenh@rz.fh-augsburg.de
2/5/13
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Virgil
2/5/13
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Virgil
2/4/13
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Virgil
2/4/13
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fom
2/4/13
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Virgil
2/5/13
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fom
2/5/13
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mueckenh@rz.fh-augsburg.de
2/5/13
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fom
2/5/13
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mueckenh@rz.fh-augsburg.de
2/10/13
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fom
2/3/13
Read Re: Matheology § 203
William Hughes
2/4/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/4/13
Read Re: Matheology § 203
William Hughes
2/4/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/4/13
Read Re: Matheology § 203
William Hughes
2/4/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/4/13
Read Re: Matheology § 203
William Hughes
2/4/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/4/13
Read Re: Matheology § 203
William Hughes
2/4/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/4/13
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William Hughes
2/5/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/5/13
Read Re: Matheology § 203
William Hughes
2/5/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/5/13
Read Re: Matheology � 203
Virgil
2/5/13
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gus gassmann
2/5/13
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William Hughes
2/5/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/5/13
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Virgil
2/5/13
Read Re: Matheology § 203
fom
2/5/13
Read Re: Matheology § 203
William Hughes
2/5/13
Read Re: Matheology � 203
Virgil
2/4/13
Read Re: WMytheology � 203
Virgil
2/4/13
Read Re: Matheology � 203
Virgil
2/4/13
Read Re: Matheology § 203
fom
2/4/13
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Virgil
2/4/13
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fom
2/5/13
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fom
2/5/13
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Virgil
2/5/13
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fom
2/4/13
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Virgil
2/4/13
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Virgil
2/4/13
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Virgil
2/5/13
Read Re: WMytheology § 203
mueckenh@rz.fh-augsburg.de
2/5/13
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Virgil
2/3/13
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Virgil
2/3/13
Read Re: Matheology § 203
fom
2/4/13
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William Hughes
2/4/13
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mueckenh@rz.fh-augsburg.de
2/4/13
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Virgil
2/4/13
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Virgil
2/3/13
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Ralf Bader
2/4/13
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fom
2/4/13
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Virgil
2/5/13
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Ralf Bader
2/6/13
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2/6/13
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Virgil
2/6/13
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2/6/13
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Virgil
2/6/13
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fom
2/6/13
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fom
2/4/13
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mueckenh@rz.fh-augsburg.de
2/4/13
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Virgil
2/3/13
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Virgil
2/2/13
Read Re: Matheology � 203
Virgil
2/2/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
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Virgil
2/1/13
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Virgil
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
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Virgil
2/2/13
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fom
2/2/13
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mueckenh@rz.fh-augsburg.de
2/2/13
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fom
2/2/13
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mueckenh@rz.fh-augsburg.de
2/2/13
Read Re: Matheology � 203
Virgil
2/2/13
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fom
2/2/13
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Virgil
2/2/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
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Virgil
2/1/13
Read Re: Matheology � 203
Virgil
2/1/13
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Virgil
2/1/13
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Virgil
1/31/13
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Virgil
1/31/13
Read Re: Matheology � 203
Virgil
1/31/13
Read Re: Matheology � 203
Virgil
1/31/13
Read Re: Matheology � 203
Virgil
1/31/13
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Virgil
1/30/13
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Virgil
1/30/13
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Virgil
1/30/13
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Virgil
1/30/13
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Virgil
1/30/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: WMytheology � 203
Virgil
1/29/13
Read Re: Matheology � 203
Virgil
1/29/13
Read Re: Matheology � 203
Virgil
1/29/13
Read Re: Matheology � 203
Virgil
1/29/13
Read Re: Matheology � 203
Virgil
1/29/13
Read Re: Matheology � 203
Virgil
1/29/13
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Virgil
1/29/13
Read Re: Matheology � 203
Virgil
2/4/13
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JT
1/29/13
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Scott Berg
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
fom
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: Matheology § 203
fom
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
fom
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology � 203
Virgil
1/31/13
Read Re: Matheology § 203
fom
1/30/13
Read Re: Matheology § 203
fom
1/30/13
Read Re: Matheology � 203
Virgil
1/31/13
Read Re: Matheology § 203
fom
1/29/13
Read Re: Matheology § 203
fom
1/29/13
Read Re: Matheology � 203
Virgil

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