Virgil
Posts:
6,993
Registered:
1/6/11


Re: Finitely definable reals.
Posted:
Jan 18, 2013 2:37 PM


In article <1a3ee99c30704d77a28462278d8e7e9a@w3g2000yqj.googlegroups.com>, WM <mueckenh@rz.fhaugsburg.de> wrote:
> On 17 Jan., 23:59, Virgil <vir...@ligriv.com> wrote: > > > > Which term of PPP...PPP(N) is prohibited? > > > > Why should any of them be prohibited? > > > > NO matter how many times one iterates it, it will never lead to a set of > > all sets, or anything else that is a problem. > > > > Infinitely many iterations are not different from oo + 1 iterations.
Yes they are!
In having infinitely many iterations one still has no PPP...PPP(N) of more than finitely many P's.
Just as in the set of all naturals, infinitely many iterations of the successor operation never produce any thing but more finite naturals.
WM is WRONG! AGAIN!! AS USUAL!!! > > That means the power set operation will no longer increase the > cardinality.
And again WM is WRONG! AGAIN!! AS USUAL!!! > > Regards, WM 

