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Topic: § 488 Who said this?
Replies: 187   Last Post: May 7, 2014 10:06 AM

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 Tucsondrew@me.com Posts: 1,161 Registered: 5/24/13
Re: ï¿½ 488 Who said this?
Posted: May 5, 2014 3:46 PM

On Monday, May 5, 2014 3:07:48 AM UTC-7, muec...@rz.fh-augsburg.de wrote:
> On Sunday, 4 May 2014 20:53:17 UTC+2, Zeit Geist wrote:
>

> > > I use the well-established theorem of ZF that every infinite subset of a countable set is countable.
>
> > But ignore the Theorem that Not All Subsets of a Definable Countable Set are Definable!
>
> No I show a contradiction in set theory.

You do no which thing.

Produce the Bijection that shows that the Set is Countable.

> > You might Not be able to, and in fact CAN'T Define that Bijection needed to show the Set is Countable.
>
> But I can prove countability of that set since every definition is a finite expression.

That is Not possible.

> > There is NO Formula that Defines ALL the Reals that are Definable by a Formula!
>
> Of course. There are not *all* reals. But if someone accepts finished infinity, then all finite expressions exist, are countable, and contain as a subset all finite definitions.

If you say. We know what "all reals" means.

Actually, if you assume that there are No Underinable Reals and that the is a Definable List of All the Definable Reals, then you Prove Anything. For, that System is Inconsistent!

> > However, then we can Prove that there Exists an Undefinable Real Number.
>
> No, you cannot, and nobody has ever done it. Everything you "can prove" is defined at least by the space-time coordinates of you when doing this "proof".

> You can never escape off this trap.

You are the one in a Trap of Stupidity.

> Regards, WM

ZG

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