Positive Infinity forever
ali.lloyd at livecode.com
Mon May 23 04:35:39 EDT 2016
Having fairly recently done a PhD in set theory, I can confirm that the
independence of the continuum hypothesis has not been refuted!
On Mon, May 23, 2016 at 2:50 AM Mick Collins <mickclns at mac.com> wrote:
> (Try again, apologies for accidentally sending)
> ... typo
> When you said
> " 2^AJ=A(J+1)"
> I wonder if you meant
> "2^AJ >= A(J+1)"
> To many that may seem like nit-picking, but it is a NIT. However, if you
> MEANT what you wrote, then it is a YUGE NIT. It would mean that someone
> (Halmos?) found an extension of ZFC that trumps (sorry) Cohen's
> independence of CH. Is that the case?
> > On May 22, 2016, at 9:18 PM, Mick Collins <mickclns at mac.com> wrote:
> > Doc Hawk,
> > I'm envious that you took a course from Halmos, but I question what is
> probably a typo.
> > "Dr. Hawkins" <dochawk at gmail.com> wrote:
> > Well, which infinity? aleph-naught (A0) is the count of the
> > integers/wholes/natural
> > A1=2^A0, the count of the reals.
> > For that mater 2^AJ=A(J+1)
> > A1-A0=A1
> > Aj^n=Aj
> > A0 is also "countable"; A1 and higher are not.
> > Yes, I really took a course on that, from the master himself (Halmos)
> > -- Dr. Richard E. Hawkins, Esq.
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