View example sentences, synonyms and word forms for Denumerable.
Denumerable
Denumerable meaning
Capable of being assigned a bijection to the natural numbers. Applied to sets which are not finite, but have a one-to-one mapping to the natural numbers.
Synonyms of Denumerable
Example sentences (4)
A countable set is a set which is either finite or denumerable; the denumerable sets are therefore the infinite countable sets.
He also proved that the set of all ordered pairs of natural numbers is denumerable; this implies that the set of all rational numbers is also denumerable, since every rational can be represented by a pair of integers.
He later proved that the set of all algebraic numbers is also denumerable.
However, this terminology is not universally followed, and sometimes "denumerable" is used as a synonym for "countable".