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Topic: Answer to Dik T. Winter
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mueckenh@rz.fh-augsburg.de

Posts: 15,737
Registered: 1/29/05
Who introduced false logic?
Posted: May 28, 2009 4:22 AM
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On 28 Mai, 05:21, Virgil <virg...@nowhere.com> wrote:
> > > > The problem boils down to the following:
>
> > > > En Am: m =< n <==> Am En m =< n [*]
> > > > En Am: m =< n ==> Am En m =< n [**]

>
> > > > You know: Classical logic was obtained from finite sets ...
> > > > Show me a finite set that obeys [**] but not [*].


> > I said: For complete linear sets [*] is true.
> > You said [*] is not true, but [**] is true.
> > Weyl said: Classical logic was obtained from finite sets.
> > Therefore I asked you: Show me a linear complete finite set, that
> > makes your claim [**] right and my claim [*] wrong.

>
> What Weyl may have said in no way limits logic, classical or otherwise,
> to finite sets. Or does WM claim that Weyl was speaking ex cathedra?


Weyl has recognized, by the end of his life (when obtaining his
doctorate under Hilbert he was preoccupied with Hilbert's opinion),
that logic is not included into the 10 commandments, but has to be
constructed or obtained as an abstraction from the reality. Therefore
we have no guarantee that it is suitable for sets that cannot belong
to reality. And I added: We cannot use logical theorems that are
counterfactual, i.e., contrary to what we obtained from reality. There
is no model of a complete linear set in reality that makes [*] false
and [**] true. But there are many models showing that [*] is true
whenever [**] is true.
>
> > No. I do not use the implication only, I use the full equivalence. Of
> > course the equivalence includes the implication [***] as well as the
> > implication [**]

>
> Then WM is not operating in the same world as everyone else.


Most of your ilk intermingle the worlds in which they work. They work
in potential infinity if the question is put whether there is a
largest natural number. But they work in actual infinity if the Cantor-
diagonal or any other irrational number is concerned. Only the
possibility to complete it by a limit process, leads to the erroneous
assumption of uncountability.

This had already been recognized by the late Alexander Zenkin, one of
the brave scientists who dared to condemn this hypocritical behaviour:
Cantor's 'paradise' as well as all modern axiomatic set theory is
based on the (self-contradictory) concept of actual infinity. Cantor
emphasized plainly and constantly that all transfinite objects of his
set theory are based on the actual infinity. Modern AST-people try to
persuade us to believe that the AST does not use actual infinity. It
is an intentional and blatant lie, since if infinite sets, X and N,
are potential, then the uncountability of the continuum becomes
unprovable, but without the notorious uncountablity of continuum the
modern AST as a whole transforms into a long twaddle about nothing.

>
> > Or if I
> > taught, contrary to fact, Cantor's claim that a real number is the
> > limit of its finite initial segments but all real numbers are not the
> > limits of all their finite initial segments?

>
> That may be WM's claim, but it is certainly not Cantor's.
> Cantor may have viewed reals as equivalence classes of Cauchy sequences,
> or, more likely, as Dedekind cuts, but where did WM get his delusion.


Cantor did not hold Dedekind's work in high esteem. Here is one
example:
Die Schrift von Dedekind ?Was sind und was sollen die Zahlen" ist,
wenn auch ihrer Tendenz nach, die Arithmetik rein logisch zu
begründen, lobenswerth, nicht nach meinem Geschmack. ...
Das künstliche System der 172 sich nur um das Elementarste und zum
Theil Trivialste drehenden Dedekindschen Sätze scheint mir mehr
geeignet, die Natur der Zahlen zu verdunkeln als sie aufzuhellen.
[Letter from Cantor to Vivanti, 1888, April 2]

Cantor used his Fundamentalreihen:

Bemerkungen mit Bezug auf den Aufsatz: Zur Weierstraß-Cantorschen
Theorie der Irrationalzahlen.
[Math. Annalen Bd. 33, S. 476 (1889).]

Es möge mir gestattet sein, nur ganz kurz auf die Bedenken zu
antworten, welche Herr Illigens in bezug auf meine Theorie der
Irrationalzahlen ausgesprochen hat. ... sqrt(3) ist also nur ein
Zeichen für eine Zahl, welche erst noch gefunden werden soll, nicht
aber deren Definition. Letztere wird jedoch in meiner Weise etwa durch

(1,7, 1,73, 1,732, ...)

befriedigend gegeben.

Cantor talks about "his" theory of irrational numbers, neither
Cauchy's nor Dedekind's.

Regards, WM


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5/31/09
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mueckenh@rz.fh-augsburg.de
5/31/09
Read Re: Answer to Dik T. Winter
Virgil
6/2/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/2/09
Read Re: Answer to Dik T. Winter
Virgil
6/3/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/3/09
Read Re: Answer to Dik T. Winter
Virgil
6/7/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/7/09
Read Re: Answer to Dik T. Winter
Virgil
6/3/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/3/09
Read Re: Answer to Dik T. Winter
Virgil
6/3/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/7/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/7/09
Read Re: Answer to Dik T. Winter
Virgil
6/11/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/11/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/11/09
Read Re: Answer to Dik T. Winter
Virgil
6/11/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/12/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/12/09
Read Re: Answer to Dik T. Winter
Virgil
6/19/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/19/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/19/09
Read Re: Answer to Dik T. Winter
Virgil
6/22/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/25/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/25/09
Read Re: Answer to Dik T. Winter
Virgil
6/30/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/30/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/30/09
Read Re: Answer to Dik T. Winter
MeAmI.org
6/30/09
Read Re: Answer to Dik T. Winter
Virgil
7/1/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
7/2/09
Read Re: Answer to Dik T. Winter
G. Frege
7/2/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
7/2/09
Read Re: Answer to Dik T. Winter
herb z
7/2/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
7/2/09
Read Re: Answer to Dik T. Winter
herb z
7/2/09
Read Re: Answer to Dik T. Winter
G. Frege
7/3/09
Read Re: Answer to Dik T. Winter
Aatu Koskensilta
7/3/09
Read Re: Answer to Dik T. Winter
Daryl McCullough
7/2/09
Read Re: Answer to Dik T. Winter
G. Frege
7/2/09
Read Re: Answer to Dik T. Winter
G. Frege
7/2/09
Read Re: Answer to Dik T. Winter
G. Frege
7/2/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/2/09
Read Re: Answer to Dik T. Winter
G. Frege
7/2/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/2/09
Read Re: Answer to Dik T. Winter
G. Frege
7/2/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/3/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
7/3/09
Read Re: Answer to Dik T. Winter
G. Frege
7/3/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
7/3/09
Read Re: Answer to Dik T. Winter
G. Frege
7/4/09
Read Re: Answer to Dik T. Winter
Aatu Koskensilta
7/6/09
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Dik T. Winter
7/6/09
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G. Frege
7/6/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
7/6/09
Read Re: Answer to Dik T. Winter
Jesse F. Hughes
7/3/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
7/3/09
Read Re: Answer to Dik T. Winter
Virgil
7/3/09
Read Re: Answer to Dik T. Winter
Ralf Bader
7/2/09
Read Re: Answer to Dik T. Winter
G. Frege
7/2/09
Read Re: Answer to Dik T. Winter
Virgil
7/2/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
7/2/09
Read Re: Answer to Dik T. Winter
ross.finlayson@gmail.com
7/2/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
7/2/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/2/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/2/09
Read Re: Answer to Dik T. Winter
Virgil
7/2/09
Read Re: Answer to Dik T. Winter
ross.finlayson@gmail.com
7/2/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/2/09
Read Re: Answer to Dik T. Winter
ross.finlayson@gmail.com
7/6/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/6/09
Read Re: Answer to Dik T. Winter
ross.finlayson@gmail.com
7/6/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/6/09
Read Re: Answer to Dik T. Winter
ross.finlayson@gmail.com
7/6/09
Read Re: Answer to Dik T. Winter
Jack Markan
6/8/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/8/09
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Virgil
6/9/09
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Jack Markan
6/9/09
Read Re: Answer to Dik T. Winter
Jack Markan
6/9/09
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Virgil
6/11/09
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mueckenh@rz.fh-augsburg.de
6/11/09
Read Re: Answer to Dik T. Winter
Virgil
6/11/09
Read Re: Answer to Dik T. Winter
William Hughes
6/11/09
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Virgil
6/11/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/11/09
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Virgil
6/11/09
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mueckenh@rz.fh-augsburg.de
6/11/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/11/09
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Virgil
6/11/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/11/09
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Virgil
6/12/09
Read Re: Answer to Dik T. Winter
herb z
6/12/09
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Virgil
6/12/09
Read Re: Answer to Dik T. Winter
Owen Jacobson
6/12/09
Read Re: Answer to Dik T. Winter
Virgil
6/12/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/12/09
Read Re: Answer to Dik T. Winter
Virgil
6/11/09
Read Re: Answer to Dik T. Winter
Virgil
6/11/09
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Dik T. Winter
6/11/09
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William Hughes
6/11/09
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mueckenh@rz.fh-augsburg.de
6/11/09
Read Re: Answer to Dik T. Winter
YBM
6/11/09
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Virgil
6/11/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/12/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/12/09
Read Re: Answer to Dik T. Winter
Virgil
6/12/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/12/09
Read Re: Answer to Dik T. Winter
Virgil
6/19/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/19/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/19/09
Read Re: Answer to Dik T. Winter
Virgil
6/22/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/25/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/25/09
Read Re: Answer to Dik T. Winter
Virgil
6/30/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/30/09
Read Re: Answer to Dik T. Winter
Virgil
6/30/09
Read Re: Answer to Dik T. Winter
Guest
6/30/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
7/1/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/11/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/11/09
Read Re: Answer to Dik T. Winter
Virgil
6/3/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/3/09
Read Re: Answer to Dik T. Winter
Virgil
6/3/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/7/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/7/09
Read Re: Answer to Dik T. Winter
Virgil
6/11/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/3/09
Read Re: Answer to Dik T. Winter
george
5/29/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
5/29/09
Read Re: Answer to Dik T. Winter
Virgil
5/30/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
5/30/09
Read Re: Answer to Dik T. Winter
Virgil
5/31/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
5/31/09
Read Re: Answer to Dik T. Winter
Virgil
5/31/09
Read Re: Answer to Dik T. Winter
Guest
5/27/09
Read Re: Answer to Dik T. Winter
Virgil
5/28/09
Read Who introduced false logic?
mueckenh@rz.fh-augsburg.de
5/28/09
Read Re: Who introduced false logic?
Virgil
5/30/09
Read Re: Who introduced false logic?
mueckenh@rz.fh-augsburg.de
5/30/09
Read Re: Who introduced false logic?
Virgil
5/30/09
Read Re: Who introduced false logic?
Virgil
5/30/09
Read Re: Answer to Dik T. Winter
Virgil
5/30/09
Read Re: Answer to Dik T. Winter
Virgil
5/30/09
Read Re: Answer to Dik T. Winter
Ralf Bader
5/27/09
Read Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
5/27/09
Read Re: Natural numbers are uniquely defined
David C. Ullrich
5/27/09
Read Re: Natural numbers are uniquely defined
Virgil
5/27/09
Read Re: Natural numbers are uniquely defined
Guest
5/27/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
5/28/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
5/28/09
Read Re: Natural numbers are uniquely defined
Virgil
5/29/09
Read Re: Natural numbers are uniquely defined
Peter Webb
5/29/09
Read Re: Natural numbers are uniquely defined
Virgil
5/29/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
5/29/09
Read Re: Natural numbers are uniquely defined
Virgil
5/29/09
Read Re: Natural numbers are uniquely defined
Peter Webb
5/30/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
5/30/09
Read Re: Natural numbers are uniquely defined
Virgil
5/30/09
Read Re: Natural numbers are uniquely defined
Peter Webb
5/31/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
5/31/09
Read Re: Natural numbers are uniquely defined
Virgil
5/31/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
5/31/09
Read Re: Natural numbers are uniquely defined
Peter Webb
5/31/09
Read Re: Natural numbers are uniquely defined
Virgil
6/1/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
6/1/09
Read Re: Natural numbers are uniquely defined
David Bernier
6/1/09
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Jack Markan
6/1/09
Read Re: Natural numbers are uniquely defined
Virgil
6/2/09
Read Re: Natural numbers are uniquely defined
george
6/1/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
6/1/09
Read Re: Natural numbers are uniquely defined
Virgil
6/2/09
Read Re: Natural numbers are uniquely defined
george
6/2/09
Read Re: Natural numbers are uniquely defined
george
6/2/09
Read Re: Natural numbers are uniquely defined
george
6/3/09
Read Re: Natural numbers are uniquely defined
george
6/12/09
Read Re: Answer to Dik T. Winter
Guest
2/5/13
Read Re: Answer to Dik T. Winter
6/14/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/14/09
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Virgil
6/14/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/14/09
Read Re: Answer to Dik T. Winter
Virgil
6/15/09
Read Re: Answer to Dik T. Winter
Owen Jacobson
6/15/09
Read Re: Answer to Dik T. Winter
Virgil
6/15/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/15/09
Read Re: Answer to Dik T. Winter
Owen Jacobson
6/15/09
Read Re: Answer to Dik T. Winter
Virgil
6/15/09
Read Re: Answer to Dik T. Winter
Virgil
6/16/09
Read Re: Answer to Dik T. Winter
MeAmI.org
6/16/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/16/09
Read Re: Answer to Dik T. Winter
Virgil
6/18/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/18/09
Read Re: Answer to Dik T. Winter
Virgil
6/20/09
Read Re: Answer to Dik T. Winter
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