determiner has 5 distinct synonyms spread across 3 of its 3 senses. 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. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
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.
one of a limited class of noun modifiers that determine the referents of noun phrases
a determining or causal element or factor
“education is an important determinant of one's outlook on life”
Synonyms, antonyms and the broader and narrower relations for determiner come from Princeton University’s WordNet. Full sources and licences.