denumerable
de·nu·mer·a·ble countable: said of a set, either finite or infinite, whose elements can be put in one-to-one correspondence with the natural integers
Origin of denumerable
de- + numerabledenumerable
adjective
Capable of being put into one-to-one correspondence with the positive integers; countable.
Origin of denumerable
From denumerate to count from Late Latin dēnumerāre dēnumerāt- alteration of Latin dīnumerāre dī-, dis- dis- numerāre to number ; see numerate .Related Forms:
- de·nu′mer·a·bil′i·ty
noun
- de·nu′mer·a·bly
adverb
denumerable
Adjective
(not comparable)
- (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.
- The empty set is denumerable because it is finite; the rational numbers are, surprisingly, denumerable because every possible fraction can be assigned a number.