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Topic: Another AC anomaly?
Replies: 280   Last Post: Dec 27, 2009 3:53 PM

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Virgil

Posts: 870
Registered: 7/27/09
Re: Another AC anomaly?
Posted: Dec 10, 2009 3:33 PM
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In article
<5333fb9a-1670-4fcc-85d3-25e75fb5bd1d@f16g2000yqm.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 10 Dez., 16:29, "Dik T. Winter" <Dik.Win...@cwi.nl> wrote:
>

> > Without the axiom of infinity omega would not be immediately existing.
> > So apparently there is a definition of omega without the axiom of infinity.
> > Can you state that definition?

>
> Look into Cantor's papers. Look into my book.


Cantors papers might be worth it, but no serous mathematician need
bother with any book written by WM. Wm has sufficiently often proved his
mathematical incompetence here to obviate any need to delve further into
it.
> >
> > There are no concepts of mathematics without definitions.

>
> So? What is a set?


Does the absence of a definition of "set" imply the absence of all
definitions from mathematics? If not then WM's question is, as usual,
totally irrelevant.


> >
>
> >  > An infinite union *is* not at all. But if it were, it was a limit.
> >
> > It *is* according to one of the axioms of ZF, and as such it is not a limit.

>
> It *was* according to Cantor, without any axioms.


But Russell's paradox showed the need for something like axioms.
>
> > Where?  Why do you think taking a limit and taking cardinality should
> > commute?  Should also the limit of te sequence of integral of functions
> > be equal to the integral of the limit of a sequence of fuctions?

>
> If an infinite set exists as a limit, then it has gotten from the
> finite to the infinite one by one element. During this process there
> is no chance for any divergence between this set-function and its
> cardinality.


WM offers no proof that infinite sets can exist ONLY as limits, nor how
they must be formulated if they are limits, so, as usual, the rest of
his speculations are irrelevant.


Date Subject Author
11/23/09
Read Re: Another AC anomaly?
Jesse F. Hughes
11/23/09
Read Re: Another AC anomaly?
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11/23/09
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11/25/09
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11/24/09
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12/1/09
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11/26/09
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11/30/09
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Herman Jurjus
12/1/09
Read Jesse Hughes of Bentley College uses signature block to defame
others; Ann Reeves Re: What's wrong with supertasks?
plutonium.archimedes@gmail.com
12/1/09
Read Re: Jesse Hughes of Bentley College uses signature block to defame
others; Ann Reeves Re: What's wrong with supertasks?
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12/1/09
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12/1/09
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others; Ann Reeves Re: What's wrong with supertasks?
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12/1/09
Read Re: using signature-blocks to defame innocent people Re: Jesse Hughes
of Bentley College
Marshall
12/2/09
Read Re: using signature-blocks to defame innocent people Re: Jesse Hughes
of Bentley College
Marshall
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/26/09
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mueckenh@rz.fh-augsburg.de
11/28/09
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mueckenh@rz.fh-augsburg.de
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11/26/09
Read Re: Another AC anomaly?
William Hughes
11/28/09
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William Hughes
11/26/09
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mueckenh@rz.fh-augsburg.de
11/28/09
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11/28/09
Read Re: Another AC anomaly?
Virgil
11/29/09
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mueckenh@rz.fh-augsburg.de
11/29/09
Read Re: Another AC anomaly?
Virgil
11/29/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/29/09
Read Re: Another AC anomaly?
Marshall
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
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11/29/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/26/09
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11/26/09
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11/26/09
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11/27/09
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mueckenh@rz.fh-augsburg.de
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11/27/09
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11/30/09
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Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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12/4/09
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12/4/09
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12/4/09
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12/4/09
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12/5/09
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12/5/09
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12/5/09
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12/5/09
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12/1/09
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12/1/09
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11/27/09
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11/27/09
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11/30/09
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11/27/09
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11/27/09
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11/27/09
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11/27/09
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11/27/09
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11/27/09
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11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
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11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
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Virgil

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