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What can we say about the cardinality of the set of real numbers compared to the cardniality of the set of all languages on {
What can we say about the cardinality of the set of real numbers compared to the cardniality of the set of all languages on
:
a Both sets have the same cardinality because both real numbers and languages on can be represented by
unique infinite binary strings
b The are at least as many languages over as there are real numbers.
c The cardinality of the set of real numbers is larger than the cardinality of languages on because real numbers
can be represented over which is an alphabet times larger than
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