[1] In his Introduction to Semantics (Harvard Uni.
[1] Attempts to axiomatize the empirical sciences, Carnap said, use a descriptive interpretation to model reality.
:[1] the aim of these attempts is to construct a formal system for which reality is the only interpretation.
[2] Any non-empty set may be chosen as the domain of a descriptive interpretation, and all n-ary relations among the elements of the domain are candidates for assignment to any predicate of degree n.[3] A sentence is either true or false under an interpretation which assigns values to the logical variables.
We might for example make the following assignments: Individual constants Predicates: Sentential variables: Under this interpretation the sentences discussed above would represent the following English statements: