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premise has 5 distinct synonyms spread across 3 of its 4 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.
set forth beforehand, often as an explanation
“He premised these remarks so that his readers might understand”
Synonyms, antonyms and the broader and narrower relations for premise come from Princeton University’s WordNet. Full sources and licences.
a statement that is assumed to be true and from which a conclusion can be drawn
“on the assumption that he has been injured we can infer that he will not play”