1. noun
An uncountable noun.
2. adjective
a) So many as to be incapable of being counted.
The reasons for our failure were as uncountable as the grains of sand on a beach.
b) Incapable of being put into one-to-one correspondence with the natural numbers or any subset thereof.
Cantor’s “diagonal proof” shows that the set of real numbers is uncountable.
Wikipedia foundation.