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Re: Why not Hausdorff's ordered pairs
Posted:
Feb 23, 2012 11:30 PM
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On Feb 24, 1:44 pm, Zuhair <zaljo...@gmail.com> wrote:
> On Feb 24, 6:34 am, Graham Cooper <grahamcoop...@gmail.com> wrote:
>
>
>
> > There is no beyond Omega.
>
> > I programmed a [BEYOND INFINITY] button on my website.
>
> > Try it!
>
> >http://MATHEOLOGY.com
>
> > Herc
>
> While my definition of n-tuples can go beyond Omega, that's why it is
> superior
> to yours, of course your definition cannot go beyond Omega in ZF,
> because
> the iterative bracketing cannot go further. In my system I use the
> ordinals as
> tags, those tag the order of the relevant item in the pair and the
> merit of that
> is that ordinals can go beyond Omega.
>
> In nutshell your tuple work (I think) it is nice, simple and elegant,
> but unfortunately
> it doesn't extende beyond Omega. Mine does (provided you give the
> proper assignment
> to the ordinal tags)
such as?
Have you checked if
{3{2{1}}}, datum
or whatever number system it is today, works with ... Von Neuman
numbers?
Remember { {1,a} {2,b} } doesn't work
{ { {}, a} { {{}}, b } } doesn't work
but you're still confident you've found an ordinate indexing system by
tweaking it further
Herc
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