1. uncountable - Noun
2. uncountable - Adjective
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) That cannot be used freely with numbers or the indefinite article, and therefore usually takes no plural form. Example: information.
Many languages do not distinguish countable nouns from uncountable nouns.
One meaning in law of the usually uncountable noun "information" is used in the plural and is countable.
uncountable (plural uncountables)
(grammar) An uncountable noun.
A countable product of second countable spaces is second countable, but an uncountable product of second countable spaces need not even be first countable. Source: Internet
A consequence is that any uniform structure can be defined as above by a (possibly uncountable) family of pseudometrics (see Bourbaki: General Topology Chapter IX §1 no. 4). Source: Internet
A net is a function from a (possibly uncountable ) directed set to a topological space. Source: Internet
But he was disappointed by the state of chemistry in the early 1950s as it was taught at ETH Zurich; the students had to memorize uncountable facts that even the professors did not understand. Source: Internet
A simple example of a space which is not separable is a discrete space of uncountable cardinality. Source: Internet
Because these sets are not larger than the natural numbers in the sense of cardinality, some may not want to call them uncountable. Source: Internet