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- The set of real numbers is uncountable.
The stars in the sky are uncountably many, even a life time would not suffice to number them all.
If a set is neither finite nor countably infinite, it is said to be uncountably infinite or simply uncountable.
One meaning in law of the supposedly uncountable noun information is used in the plural and is countable.
The reasons for our failure were as uncountable as the grains of sand on a beach.
Cantor’s “diagonal proof” shows that the set of real numbers is uncountable.