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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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