Definition from Wiktionary, the free dictionary
uncountable (plural uncountables)
uncountable (not comparable)
- 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.
- (mathematics) 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.
- (grammar, of a noun) Describes a meaning of a noun that cannot be used freely with numbers or the indefinite article, and which therefore takes no plural form. Example: information.
- Many languages do not distinguish countable nouns from uncountable nouns.
- One meaning in law of the supposedly uncountable noun "information" is used in the plural and is countable.
- (set theory): infinite
Derived terms 
too many to be counted
mathematics: incapable of being enumerated by natural numbers
linguistics: about a noun which cannot be counted
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