Etymology
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finite (adj.)

early 15c., "limited in space or time, finite," from Latin finitum, past participle of finire "to limit, set bounds; come to an end" (see finish (v.)). Related: Finitely; finiteness.

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Definitions of finite

finite (adj.)
bounded or limited in magnitude or spatial or temporal extent;
finite (adj.)
(of verbs) relating to forms of the verb that are limited in time by a tense and (usually) show agreement with number and person;
From wordnet.princeton.edu