Denumerable vs Countable - What's the difference?
denumerable | countable | Synonyms |
(mathematics) Capable of being assigned numbers from the natural numbers. Especially applied to sets where finite sets and sets that have a one-to-one mapping to the natural numbers are called denumerable.
Capable of being counted; having a quantity.
(mathematics, of a set) Countably infinite; having a bijection with the natural numbers.
(mathematics, of a set) Countably infinite or finite; having a bijection with a subset of the natural numbers.
(grammar, of a noun) Freely usable with the indefinite article and with numbers, and therefore having a plural form.
Countable is a synonym of denumerable.
As adjectives the difference between denumerable and countable
is that denumerable is capable of being assigned numbers from the natural numbers. Especially applied to sets where finite sets and sets that have a one-to-one mapping to the natural numbers are called denumerable while countable is capable of being counted; having a quantity.denumerable
English
(wikipedia denumerable)Adjective
(-)- The empty set is denumerable''' because it is finite; the rational numbers are, surprisingly, '''denumerable because every possible fraction can be assigned a number.
