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NNTP-Posting-Date: Tue, 18 Jun 2024 21:33:29 +0000
Subject: Re: universe set?
Newsgroups: sci.math
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From: Ross Finlayson <ross.a.finlayson@gmail.com>
Date: Tue, 18 Jun 2024 14:33:40 -0700
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On 06/18/2024 02:29 PM, Ross Finlayson wrote:
> On 06/18/2024 06:18 AM, FromTheRafters wrote:
>> David Chmelik has brought this to us :
>>> On Tue, 18 Jun 2024 12:05:45 -0000 (UTC), David Chmelik wrote:
>>>
>>>> Is the universe set called univrset?
>>>
>>> 'universet'
>>
>> Domain of Discourse. Usually a blackboard bold (or doublestruck) D is
>> the symbol.
>
> See for exampler Forster's "Set Theory with a Universal Set".
>
> The idea that a universal set exists is called "Domain Principle"
> or "Domainprinzip".
>
> The domain of discourse is a usual term.
>
> See for example Finsler and Boffa, Kunen inconsistency,
> set of all sets, order type of ordinals, group of all groups,
> infinite-dimensional space, "Continuum", sometimes just
> "the world".
>
>

https://www.youtube.com/watch?v=aHS0VKOM09U

"Thomas Forster - Recent developments in Set Theory with a Universal Set"

I don't vouch for this yet it's part of the study, about
things like "New Foundations with Ur-Elements" or
"New Foundations with Universes" and so on.


Here's it's "Null Axiom Theory" or "Universal Axiom Theory",
for example.