perversity 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.
deliberate and stubborn unruliness and resistance to guidance or discipline
deliberately deviating from what is good
“there will always be a few people who, through macho perversity, gain satisfaction from bullying and terrorism”
Synonyms, antonyms and the broader and narrower relations for perversity come from Princeton University’s WordNet. Full sources and licences.