Plural of contradictory; propositions or things that are mutually exclusive or directly opposed to each other.
From 'contradictory' (adjective/noun), from Latin 'contradictius' (speaking against), plus the plural suffix '-ies'.
In logic, 'contradictories' are super important—'it's raining' and 'it's not raining' are perfect contradictories because one must be true and one must be false, with no middle ground.
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