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Topic: Matheology § 288
Replies: 160   Last Post: Jun 21, 2013 8:42 AM

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LudovicoVan

Posts: 3,201
From: London
Registered: 2/8/08
Re: Matheology § 288
Posted: Jun 20, 2013 9:05 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

"FredJeffries" <fredjeffries@gmail.com> wrote in message
news:ce258559-8c7d-4931-b458-7c22b696abef@f4g2000pbj.googlegroups.com...
> On Jun 20, 10:46 am, "Julio Di Egidio" <ju...@diegidio.name> wrote:
>> "WM" <mueck...@rz.fh-augsburg.de> wrote in message
>> news:53221a87-3752-41f8-803c-e2a62337acde@g2g2000vbk.googlegroups.com...

>> > On 20 Jun., 15:33, "Julio Di Egidio" <ju...@diegidio.name> wrote:
>> >>
>> >> (E.g. did anybody study the latter construction [the L=[0,L]]? Does
>> >> the "issue" exists at all,

>>
>> > This issue does not exist in any forum or journal where matheologians
>> > are the dominating fraction.

>>
>> If that distinction has any merit, then it's hard to believe that nobody
>> has
>> looked into it yet. Anyway, if that is so, this "issue" might very well
>> become the basis for my PhD thesis... so to speak.

>
> I cannot find your original question. From the few comments I have read
> it seems that you wish to abolish limit ordinals and relabel the successor
> of a limit ordinal to the limit ordinal's label, etc. Thus, your omega is
> what
> is currently called omega + 1, your omega + 1 is what is now referred to
> as omega + 1, omega + omega for you would be (omega + omega + 1)...
>
> Is that close?
>
> Is there some problem you believe you can solve with such a system?


These are the two core posts:

<https://groups.google.com/d/msg/sci.math/nIjyGmRkzCU/nh63p4qtXF8J>
<https://groups.google.com/d/msg/sci.math/nIjyGmRkzCU/ykYC-6KYFtwJ>

The idea was not just that of a shift of labels:

Consider von Neumann definition of ordinals: "each ordinal is the
well-ordered set of all smaller ordinals. In symbols, lambda = [0,
lambda)."
<http://en.wikipedia.org/wiki/Ordinal_number#Von_Neumann_definition_of_ordinals>

Now consider this alternative definition: each ordinal is the well-ordered
set of all non-strictly smaller ordinals. In symbols, lambda = [0,
ambda]. -- I.e. the set includes the ordinal to which it corresponds.

That's what I am asking about, the second definition: if it works, if it
exists in the literature, etc.

By the way, thanks very much for the references you give in the other post.

Julio




Date Subject Author
6/14/13
Read Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology § 288
LudovicoVan
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology § 288
LudovicoVan
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
apoorv
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
apoorv
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
apoorv
6/17/13
Read Re: Matheology � 288
Virgil
6/17/13
Read Re: Matheology § 288
apoorv
6/17/13
Read Re: Matheology � 288
Virgil
6/17/13
Read Re: Matheology � 288
Tanu R.
6/17/13
Read Re: Matheology � 288
Virgil
6/17/13
Read Re: Matheology § 288
fom
6/16/13
Read Re: Matheology § 288
FredJeffries@gmail.com
6/16/13
Read Re: Matheology § 288
apoorv
6/16/13
Read Re: Matheology § 288
apoorv
6/17/13
Read Re: Matheology § 288
FredJeffries@gmail.com
6/17/13
Read Re: Matheology � 288
Virgil
6/17/13
Read Re: Matheology § 288
FredJeffries@gmail.com
6/18/13
Read Re: Matheology § 288
LudovicoVan
6/18/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/18/13
Read Re: WMytheology � 288
Virgil
6/18/13
Read Re: Matheology § 288
LudovicoVan
6/18/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/18/13
Read Re: Matheology § 288
LudovicoVan
6/18/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/18/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/18/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/19/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/19/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/19/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/19/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: WMytheology � 288
Virgil
6/20/13
Read Re: Matheology � 288
Virgil
6/20/13
Read Re: Matheology � 288
Virgil
6/20/13
Read Re: Matheology � 288
Virgil
6/20/13
Read Re: Matheology � 288
Virgil
6/19/13
Read Re: Matheology � 288
Virgil
6/19/13
Read Re: WMytheology � 288
Virgil
6/18/13
Read Re: Matheology � 288
Virgil
6/18/13
Read Re: Matheology § 288
fom
6/18/13
Read Re: Matheology § 288
fom
6/18/13
Read Re: Matheology § 288
LudovicoVan
6/18/13
Read Re: Matheology § 288
fom
6/19/13
Read Re: Matheology § 288
LudovicoVan
6/19/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/19/13
Read Re: WMytheology � 288
Virgil
6/19/13
Read Re: Matheology § 288
LudovicoVan
6/19/13
Read Re: Matheology § 288
fom
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology � 288
Virgil
6/20/13
Read Re: Matheology � 288
Virgil
6/20/13
Read Re: Matheology § 288
FredJeffries@gmail.com
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
Ralf Bader
6/21/13
Read Re: Matheology § 288
LudovicoVan
6/21/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
FredJeffries@gmail.com
6/20/13
Read Re: Matheology � 288
Virgil
6/20/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/15/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology � 288
Tanu R.
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology § 288
LudovicoVan
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology § 288
LudovicoVan
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology � 288
Tanu R.
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology � 288
Bergholt Stuttley Johnson
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology � 288
Tanu R.
6/15/13
Read Re: Matheology � 288
Bergholt Stuttley Johnson
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology § 288
fom
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology § 288
fom
6/16/13
Read Re: Matheology � 288
Virgil
6/17/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/17/13
Read Re: Matheology � 288
Virgil
6/17/13
Read Re: Matheology § 288
fom
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology § 288
fom
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
fom
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
fom
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology � 288
Virgil
6/17/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/17/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology � 288
Tanu R.

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