cornerstone has 5 distinct synonyms spread across 1 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.
the fundamental assumptions from which something is begun or developed or calculated or explained
“the whole argument rested on a basis of conjecture”
Synonyms, antonyms and the broader and narrower relations for cornerstone come from Princeton University’s WordNet. Full sources and licences.
a stone in the exterior of a large and important building; usually carved with a date and laid with appropriate ceremonies
a stone at the outer corner of two intersecting masonry walls