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Topic: Finitely definable reals.
Replies: 52   Last Post: Jan 18, 2013 2:37 PM

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Virgil

Posts: 8,833
Registered: 1/6/11
Re: Finitely definable reals.
Posted: Jan 17, 2013 5:52 PM
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In article
<a51cc441-9f02-4092-b11b-a5ecc62abf45@g6g2000vbk.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 16 Jan., 08:32, Virgil <vir...@ligriv.com> wrote:
>

> >
> > But it also shows that no finite set is maximal in ZF or ZFC, the
> > axiom of infinity requires that for every finite set there is set
> > with more members.


I.e., in ZF, for every set S
1. S is not a member of itself, and
2. S is a proper subset of Union(S, {S})
>
> But the powerset of all powersets of N, U = PPP...PPP(N) such that
> P(U) = U, is not required?


However much it may be required in WMytheology, it is not at all
required in ZF or ZFC, and is, in fact, prohibited.
--




Date Subject Author
1/11/13
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Zaljohar@gmail.com
1/11/13
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Aatu Koskensilta
1/11/13
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mueckenh@rz.fh-augsburg.de
1/11/13
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Zaljohar@gmail.com
1/11/13
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mueckenh@rz.fh-augsburg.de
1/11/13
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Zaljohar@gmail.com
1/11/13
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mueckenh@rz.fh-augsburg.de
1/11/13
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Virgil
1/11/13
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Virgil
1/12/13
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JT
1/12/13
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JT
1/12/13
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JT
1/12/13
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mueckenh@rz.fh-augsburg.de
1/12/13
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Virgil
1/12/13
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Virgil
1/11/13
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Virgil
1/11/13
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mueckenh@rz.fh-augsburg.de
1/11/13
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Virgil
1/12/13
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mueckenh@rz.fh-augsburg.de
1/12/13
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Virgil
1/14/13
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forbisgaryg@gmail.com
1/14/13
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mueckenh@rz.fh-augsburg.de
1/14/13
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Virgil
1/15/13
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mueckenh@rz.fh-augsburg.de
1/15/13
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forbisgaryg@gmail.com
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mueckenh@rz.fh-augsburg.de
1/15/13
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ross.finlayson@gmail.com
1/15/13
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mueckenh@rz.fh-augsburg.de
1/15/13
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Virgil
1/16/13
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mueckenh@rz.fh-augsburg.de
1/16/13
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Virgil
1/17/13
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mueckenh@rz.fh-augsburg.de
1/17/13
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Virgil
1/18/13
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mueckenh@rz.fh-augsburg.de
1/18/13
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Virgil
1/15/13
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Virgil
1/16/13
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mueckenh@rz.fh-augsburg.de
1/16/13
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Virgil
1/15/13
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Virgil
1/12/13
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camgirls@hush.com
1/13/13
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DBatchelo1
1/13/13
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mueckenh@rz.fh-augsburg.de
1/14/13
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DBatchelo1
1/14/13
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mueckenh@rz.fh-augsburg.de
1/14/13
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Virgil
1/15/13
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DBatchelo1
1/15/13
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mueckenh@rz.fh-augsburg.de
1/15/13
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Virgil
1/16/13
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mueckenh@rz.fh-augsburg.de
1/16/13
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Virgil
1/17/13
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mueckenh@rz.fh-augsburg.de
1/17/13
Read Re: Finitely definable reals.
Virgil
1/15/13
Read Re: Finitely definable reals.
Virgil

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