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Topic: Matheology § 062
Replies: 181   Last Post: Jul 14, 2012 1:48 PM

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Virgil

Posts: 8,833
Registered: 1/6/11
Re: Matheology � 062
Posted: Jul 9, 2012 3:27 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article <jtf98g$scs$1@speranza.aioe.org>,
"LudovicoVan" <julio@diegidio.name> wrote:

> "Virgil" <virgil@ligriv.com> wrote in message
> news:virgil-059962.11555609072012@bignews.usenetmonster.com...

> > In article <jtel53$6jf$1@speranza.aioe.org>,
> > "LudovicoVan" <julio@diegidio.name> wrote:

> >> "LudovicoVan" <julio@diegidio.name> wrote in message
> >> news:jtd4b2$p8b$1@speranza.aioe.org...

> >> > "LudovicoVan" <julio@diegidio.name> wrote in message
> >> > news:jtd2u7$m86$1@speranza.aioe.org...

> <snip>
>

> >> >> Now, again: have you got any set-theoretical statement of the
> >> >> Ross-Littlewood problem (for every n, 10 balls get in and 1 gets out)
> >> >> from which one can derive (prove) that the set of balls ends up empty
> >> >> (i.e. that the cardinality of the limit of this sequence of sets is
> >> >> zero)? I won't ask anymore: replies welcome...

> >> >
> >> > In fact, that is tantamount to saying that the cardinality of the set N
> >> > of
> >> > natural numbers is zero, as N is (equivalent to) the limit of the
> >> > sequence
> >> > "for every n, put 2 balls in and take 1 one out" (defined so to satisfy
> >> > the paralogism that every ball gets eventually removed, although it is
> >> > more commonly the set where "for every n, 1 ball (labeled n) gets in").
> >> >
> >> > In short, I still claim, nonsense and surely not a problem with set
> >> > theory.

> >>
> >> BTW, you haven't commented on this one. It seems to me that, if the vase
> >> ends up empty in set theory, then set theory is provably inconsistent,
> >> not
> >> simply unsound.

> >
> > What is inconsistent about after having removed each item put into the
> > vase finding it empty?

>
> First, that's still a paralogism as far as I can tell. But, if we assume
> that it is provable as you say, then on a side you'd have axioms from which
> you can derive that a set N of naturals exists and is not empty, so that
> card(N)=/=0, while on the other, thanks to the equivalence (bijection)
> hinted at above, you can derive card(N)==0. And that is properly an
> inconsistency.


You may be able to derive "card(N)==0" using your math, or possibly
using WM's WMatheology, but I, using only my own standard math, cannot.
--




Date Subject Author
7/7/12
Read Matheology § 062
mueckenh@rz.fh-augsburg.de
7/7/12
Read Re: Matheology § 062
FredJeffries@gmail.com
7/7/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
William Hughes
7/8/12
Read Re: Matheology � 062
Virgil
7/8/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/8/12
Read Re: Matheology � 062
Virgil
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
William Hughes
7/8/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/8/12
Read Re: Matheology � 062
Virgil
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology � 062
Virgil
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology � 062
Virgil
7/8/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology § 062
William Hughes
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
William Hughes
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology § 062
William Hughes
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
William Hughes
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
Gus Gassmann
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
LudovicoVan
7/10/12
Read Re: Matheology § 062
William Hughes
7/10/12
Read Re: Matheology § 062
LudovicoVan
7/10/12
Read Re: Matheology § 062
William Hughes
7/10/12
Read Re: Matheology § 062
Jim Burns
7/10/12
Read Re: Matheology § 062
LudovicoVan
7/10/12
Read Re: Matheology § 062
Gus Gassmann
7/10/12
Read Re: Matheology § 062
LudovicoVan
7/10/12
Read Re: Matheology § 062
Gus Gassmann
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
Gus Gassmann
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
Gus Gassmann
7/11/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
Gus Gassmann
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology § 062
Gus Gassmann
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology § 062
Gus Gassmann
7/12/12
Read Re: Matheology § 062
LudovicoVan
7/12/12
Read Re: Matheology § 062
William Hughes
7/12/12
Read Re: Matheology § 062
LudovicoVan
7/12/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology § 062
William Hughes
7/12/12
Read Re: Matheology § 062
Gus Gassmann
7/12/12
Read Re: Matheology § 062
LudovicoVan
7/12/12
Read Re: Matheology § 062
Gus Gassmann
7/12/12
Read Re: Matheology § 062
LudovicoVan
7/12/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology § 062
William Hughes
7/12/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology § 062
Gus Gassmann
7/12/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/12/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/12/12
Read Re: Matheology � 062
Virgil
7/13/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/13/12
Read Re: Matheology § 062
Marshall
7/13/12
Read Re: Matheology � 062
Virgil
7/13/12
Read Re: Matheology � 062
Virgil
7/13/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/13/12
Read Re: Matheology � 062
Virgil
7/13/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/13/12
Read Re: Matheology � 062
Virgil
7/13/12
Read Re: Matheology § 062
LudovicoVan
7/13/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
YBM
7/11/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/11/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
YBM
7/11/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/11/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
Gus Gassmann
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology § 062
LudovicoVan
7/14/12
Read Re: Matheology § 062
LudovicoVan
7/14/12
Read Re: Matheology § 062
LudovicoVan
7/14/12
Read Re: Matheology § 062
William Hughes
7/14/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
Ralf Bader
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
William Hughes
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
William Hughes
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
William Hughes
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
William Hughes
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
William Hughes
7/8/12
Read Re: Matheology § 062
William Hughes
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/8/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/8/12
Read Re: Matheology � 062
Virgil
7/7/12
Read Re: Matheology � 062
Virgil
7/8/12
Read Re: Matheology § 062
Graham Cooper
7/9/12
Read Re: Matheology § 062
Sam Gusset

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