The word "adjunction" is correct and usable in written English.
You can use it to refer to the act of adding something new to something else in order to make it more complete or to create a new combination. For example, "The adjunction of a few extra spices to the recipe made the stew taste even better."
A non-adjunctive system is a system that does not validate adjunction (i.e., {A, B} ⊭ A ∧ B).
As an honorific title in the French royal court, it came to be used (without the adjunction of a proper name) to refer to or address the daughter of the king's eldest living brother, who was himself called monsieur.
Nuances within negation are usually expressed by the adjunction of other items.
Then adjunction holds for ∧d (Jaśkowski 1949).
These conditions correspond to Lewis's rules of strict inference, adjunction and substitution of strict equivalents.
We also suppose that the logic of L enjoys LEM and EFQ and satisfies DP and adjunction.
Such a bijection is called an adjunction between Set and C. f : Set→C and U: C→Set are respectively the left and right adjoints of this adjunction; we say that F is left adjoint to (or of) U and U right adjoint to F. We have only described how F maps sets to algebras, and U maps algebras to sets.
They are, in particular, nonadjunctive: the principle often called Adjunction, according to which when two formulas hold their conjunction also holds, fails at them (Rescher and Brandom's worlds can also be, dually, nonprime, which means that a disjunction may hold at them although both disjuncts fail to).
The relentless application of the reasoning tool involved much guidance in the setting of lemmas as targets and the deployment of an arsenal of strategies, including the set of support, forward and backward subsumption, lemma adjunction, formula complexity, hints strategy, ratio strategy, term avoidance, level saturation, and others.
It is easy to prove certain facts about these operations directly from the adjunctions.
A further simplification of the free-algebra machinery then obtains, namely via abstract adjunctions as the natural 2-dimensional counterpart of isomorphisms in a category, which in turn is the natural 1-dimensional counterpart of equality of elements in a set, the 0-dimensional idea that two points can turn out to be one.
