finite has no recorded synonym. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. Its one recorded opposite is infinite.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
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
Synonyms, antonyms and the broader and narrower relations for finite come from Princeton University’s WordNet. Full sources and licences.