Date: Mar 30, 2013 10:13 PM
Author: Shmuel (Seymour J.) Metz
Subject: Re: Using classes instead of sets
In <o_qdnc1PnJYA9MvMnZ2dnUVZ_rOdnZ2d@giganews.com>, on 03/29/2013

at 11:26 PM, fom <fomJUNK@nyms.net> said:

>Can you name one?

New foundations has a universal set. However, {x|P(x}} only exists in

NF if P is stratified. I don't know whether there is a Category Theory

equivalent.

>I suppose in that regard, there may be (some standard set theory)+

>(some large cardinal axiom) combination that constitutes a set

>theory different from ZFC for which your statement holds.

No; if you start with ZF then you can't have a universal set, even if

you have large cardinals.

--

Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>

Unsolicited bulk E-mail subject to legal action. I reserve the

right to publicly post or ridicule any abusive E-mail. Reply to

domain Patriot dot net user shmuel+news to contact me. Do not

reply to spamtrap@library.lspace.org