Denumerable vs. Countable
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Difference Between Denumerable and Countable
Denumerableadjective
(mathematics) 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.
The empty set is not denumerable because it is finite; the rational numbers are, surprisingly, denumerable because every possible fraction can be assigned a natural number and vice versa.Countableadjective
Capable of being counted; having a quantity.
Denumerableadjective
that can be counted;
countable sinsnumerable assetsCountableadjective
Finite or countably infinite; having a one-to-one correspondence (bijection) with a subset of the natural numbers.
Countableadjective
Countably infinite; having a bijection with the natural numbers.
Countableadjective
Freely usable with the indefinite article and with numbers, and therefore having a plural form.
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Countableadjective
that can be counted;
countable sinsnumerable assets
