Where does adjunct collide?

In grammar, an adjunct is a phrase that adds optional information to a clause, such as a time, place, or manner expression, and can be dropped without making the sentence ungrammatical, unlike an argument or complement that the verb requires. Ernst's 2002 The Syntax of Adjuncts set out how these optional modifiers attach to phrase structure and how they differ from the arguments a head selects. The referent is a structural role a word or phrase plays inside a sentence, defined by being optional rather than required, and it has nothing to do with a part-time teacher, a helper treatment, or a paired map in mathematics.[1]

Unit

A single optional modifier attached to a phrase, marked by its removability

Recovery means

Not applicable

Measured by

Diagnosed by tests such as optional omission, freedom of ordering, and whether the head selects the element

In category theory, when two functors form an adjunction, every arrow on one side has a matching arrow on the other, and that partner is called its adjunct, or transpose, across the adjunction. The idea grows out of Kan's 1958 paper Adjoint functors, which introduced adjoint pairs as one of the organising ideas of modern mathematics. The referent is a formal correspondence between maps in abstract structures, fixed by a universal property, and it shares nothing beyond the word with an optional modifier in grammar, a part-time teacher, or a helper treatment in medicine.[2]

Unit

One morphism paired with its unique transpose across an adjunction

Recovery means

Not applicable

Measured by

Established by exhibiting a natural bijection between the relevant sets of morphisms, a universal property