deter has 2 distinct synonyms spread across 2 of its 2 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.
try to prevent; show opposition to
“We should discourage this practice among our youth”
turn away from by persuasion
“Negative campaigning will only dissuade people”
Synonyms, antonyms and the broader and narrower relations for deter come from Princeton University’s WordNet. Full sources and licences.