# The Limit Of Language

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Thm. The set of all finite strings is countable.
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pf)
Let An be the set of all strings with length n. Then An is countable.
Therefore A = U An is also countable. Since it is a countable union
of countable sets.


So we can't even name every real number correctly. Language is
countable. But the set of real numbers is uncountable.

Similarily we can't see almost every set. We can only deal with
finite set-defining conditions.