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Structure / sentence structure / Field: is useful to give a semantics of indefinite expressions: - Structure m for a sentence is a function that maps each name or mass term of the sentence to an object or quantity, and each predicate to a set. - Structure m corresponds to the sentence if any name, any mass term and each predicate partially denotes the thing, m attributes to it. - Definition of truth by structure-truth. - E.g. mass: both times regardless of the reference frame, but once relativistic mass, once dead weight - then the proposition that mass is independent of the reference frame is once true, once false.
Realism, Mathematics and Modality Oxford New York 1989
Truth and the Absence of Fact Oxford New York 2001
Science without numbers Princeton New Jersey 1980