Re: introduce just ONE aleph-one infinity

Forgive me if I'm mistaken (or if this has no
relevance) but I believe
Space is till aleph 1(maybe null). By taking
alternate digits from
each coordinate you can map the points in the unit
square to the unit
interval, and by taking digits in groups of three(one
from each digit)
you can map the unit cube to the unit interval. In
any case, space is /
certainly/ not aleph 3. I forget who proved it, but
when he(Cantor or
somesuch) was looking for higher order infinities, he
realized that
the plane was no higher than the reals. For some
reason I think he was
looking for higher infinities than the integers,
which might still
make sense given the scheme for mapping the points
onto numbers, but
the point is space is not aleph 3.
And secondly, I'm not sure where you pull the
connection between
'uncountable' and 'indeterminate'. I would point to
something like the
reals, which are 'uncountable' but absolutely
ordered. Nothing
indeterminate there...


which is all wrong !!!

cantor is wrong !

go to topic:

vote on cantor

tommy1729
.

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