Plural of correspondence; multiple instances of written communication or relationships of similarity or agreement between things.
From Latin 'correspondentia,' combined with Old French 'correspondre.' The word has two main meanings: letters and also similarity or connection between different things.
Mathematicians use 'correspondences' to describe how one set of numbers relates to another, linguists use it to track word relationships across languages, and literary critics use it to find hidden meanings—it's a word that connects everything to everything else.
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