Linguistic Qualification, Modification, and Synonymy

Abstract

Affirmative relational statements are often uttered in plain language, such as “The dark tower is spacious,” that, within a universe of towers, and with the words P = dark, and τ = spacious, can be represented by “The tower is P, and it is τ,” or, shortened by “The tower is P is τ.” In such statements, the information P facilitates the elements in the universe X, and is constrained by qualifying by τ. Representing such statements by “x is (P is τ)”, it is said that τ linguistically qualifies, or constrains, P in X, and it can be considered that (P is τ) is a new qualified or constrained predicative pair acting on the universe X, and perhaps renamed in it in some shortened but expressive form such as “This tower is dark and spacious.”