Countable vs. Finite — What's the Difference?

Capable of being counted

Having bounds; limited

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

Existing, persisting, or enduring for a limited time only; impermanent.

Capable of being counted; having a quantity.

Being neither infinite nor infinitesimal.

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

Having a positive or negative numerical value; not zero.

Countably infinite; having a bijection with the natural numbers.

Possible to reach or exceed by counting. Used of a number.

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

Having a limited number of elements. Used of a set.

(grammar) A countable noun.

(Grammar) Of or relating to any of the forms of a verb that can occur on their own in a main clause and that can formally express distinctions in person, number, tense, mood, and voice, often by means of conjugation, as the verb sees in She sees the sign.

Capable of being numbered.

A finite thing.

That can be counted;

Having an end or limit; (of a quantity) constrained by bounds; (of a set) whose number of elements is a natural number.

Limited by (i.e. inflected for) person or number.

Having a limit; limited in quantity, degree, or capacity; bounded; - opposed to infinite; as, finite number; finite existence; a finite being; a finite mind; finite duration.

Bounded or limited in magnitude or spatial or temporal extent

Of verbs; relating to forms of the verb that are limited in time by a tense and (usually) show agreement with number and person