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Denumerable vs. Countable: What's the Difference?

Denumerable and Countable Definitions

Denumerable

Capable of being put into one-to-one correspondence with the positive integers; countable.

Countable

Capable of being counted
Countable items.
Countable sins.

Denumerable

(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.

Countable

(Mathematics) Capable of being put into a one-to-one correspondence with the positive integers.

Denumerable

That can be counted.
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Countable

Capable of being counted; having a quantity.

Denumerable

That can be counted;
Countable sins
Numerable assets

Countable

Finite or countably infinite; having a one-to-one correspondence (bijection) with a subset of the natural numbers.

Countable

Countably infinite; having a bijection with the natural numbers.

Countable

Freely usable with the indefinite article and with numbers, and therefore having a plural form.
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Countable

(grammar) A countable noun.

Countable

Capable of being numbered.

Countable

That can be counted;
Countable sins
Numerable assets

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