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Re: Matheology § 191
Posted:
Jan 14, 2013 4:33 PM
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On 14 Jan., 21:53, Virgil <vir...@ligriv.com> wrote:
> > Here are all paths that I used:
>
> > 0.
> > 0 1
> > 01 01
> > ...
>
> > and so on. Every node that you arrive at allows to continue left or
> > right. And all that is countable.
>
> The number of nodes involved is countable, but every countable set has
> uncountably many subsets,
but most subsets of the set of nodes do not describe paths.
>
> I believe the proofs that no set can be surjected to its power set are
> valid, and will continue to believe it until I see an EXPLICIT
> surjection from some set to its power set.
You could also require an explicit bijection of the set of unicorns to
the naturals - otherwise you are convinced that there are uncountably
many unicorns.
> > You
> > will never gather more than countably many infinite paths.
>
> Then we will never access all of the Complete Infinite Binary Tree, even
> though it does exis.
Where? It seems you yet need God in matheology.
Regards, WM
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