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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: 13,481
Registered: 1/29/05
Re: Matheology § 203
Posted: Jan 29, 2013 1:21 PM
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On 29 Jan., 18:36, "fasnsto" <inva...@invalid.com> wrote:
> "WM" <mueck...@rz.fh-augsburg.de> wrote in message
>
> news:f5702bc4-f905-4e60-94c5-a503f3d9d887@n2g2000yqg.googlegroups.com...
>

> > "All" and "every" in impredicative statements about infinite sets.
>
> > Consider the following statements:
>
> > A) For every natural number n, P(n) is true.
> > B) There does not exist a natural number n such that P(n) is false.
> > C) For all natural numbers P is true.

>
> > A implies B but A does not imply C.
>
> P(n)  notation means the function P with variable n


P(n) denotes a property of the argument n.
>
> P{n,...} notation typically means set P with elements n,...


But if necessary, you can also think without sets?
>
> P    notation usually is a constant, sometimes a variable, not a set unless
> you call it "set P"


P is not a set but abbreviates a property that has to be defined
separately. Example: P stands for "is prime". The collection of
arguments has to be defined separately too, like above in C: All
natural numbers.
>
> so please clean up your notation of above,


Hope that helps.
>
> (also pick up a good book on sets and read{it} )


Done several times. Nevertheless logic and analysis can get along
without sets. And that better than with.

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