So are sets of cardinality \aleph_2 or sets of cardinality
\aleph_{\aleph_0}.

##
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On the other hand, one set of cardinality 2^\aleph_0 appears to be big
enough to explain all of observed reality.
Maybe Tegmarkism is going too far...
On Wed, Mar 07, 2007 at 11:19:03AM +0330, Mohsen Ravanbakhsh wrote:
> *All actual measurements yield rational values. Using real numbers in the
> equations of physics is probably merely a convenience (since calculus is
> easier than finite differences). There is no evidence that defining an
> instantaneous state requires uncountable information.*
>
> What about the realizability of mathematical concepts. Real numbers are
> mathematical, so they should have a counterpart in real world. What ever
> that counterpart is, it's toils the problem of uncountability.
> But I think your answer is the best shot.
>
> Mohsen Ravanbakhsh.
>
> >
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