Re: The class of transitive sets.

From: Virgil <virgil@xxxxxxxxxxx>
Date: Tue, 28 Nov 2006 23:29:03 -0700

In article <1164778633.643268.144480@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"zuhair" <zaljohar@xxxxxxxxx> wrote:

Rupert wrote:

zuhair wrote:

Hi all,

Is the class of all transitive sets, a set or a proper class?

Zuhair

A proper class. It contains all the ordinals.

which violate separation in ZFC.

Zuhair

But is perfectly legitimate in NBG.
.

Follow-Ups:
- Re: The class of transitive sets.
  - From: Ross A. Finlayson

References:
- The class of transitive sets.
  - From: zuhair
- Re: The class of transitive sets.
  - From: Rupert
- Re: The class of transitive sets.
  - From: zuhair

Prev by Date: Re: Z.Irregular Set Theory. A correction.
Next by Date: Re: Question for EB
Previous by thread: Re: The class of transitive sets.
Next by thread: Re: The class of transitive sets.
Index(es):
- Date
- Thread

Relevant Pages

Re: Proper class.Proper class ?
... Transitivity is possessed by ordinals, but not all transitive sets are ... In ZFC one can prove that all these sets, the transitive sets having at ... This puts an upper bound on the ranks of such sets (they have ranks ... not a proper class. ...
(sci.logic)
Re: The class of transitive sets.
... Is the class of all transitive sets, a set or a proper class? ... which violate separation in ZFC. ... Let Pz is a transitive set. ... Accordinglly z will be the set of all ordinals, ...
(sci.math)
Re: The class of transitive sets.
... Is the class of all transitive sets, a set or a proper class? ... which violate separation in ZFC. ... Accordinglly z will be the set of all ordinals, ... but only if the class of transitive sets is a set. ...
(sci.math)
Re: The class of transitive sets.
... Is the class of all transitive sets, a set or a proper class? ... which violate separation in ZFC. ... Accordinglly z will be the set of all ordinals, ... but only if the class of transitive sets is a set. ...
(sci.math)
Re: The class of transitive sets.
... Is the class of all transitive sets, a set or a proper class? ... It contains all the ordinals. ... which violate separation in ZFC. ...
(sci.math)