idea has 8 distinct synonyms spread across 4 of its 5 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.
the content of cognition; the main thing you are thinking about
“it was not a good idea”
a personal view
“he has an idea that we don't like him”
an approximate calculation of quantity or degree or worth
“an estimate of what it would cost”
(music) melodic subject of a musical composition
“the theme is announced in the first measures”
Synonyms, antonyms and the broader and narrower relations for idea come from Princeton University’s WordNet. Full sources and licences.