Laws and Meaning Postulates in van Fraassen's View of Theories

Abstract

In several recent papers ([7], [8]) Bas van Fraassen has suggested that the structure of a scientific theory might be more appropriately represented by his “semantic view of theories” than by the traditional “syntactic view.” Under the syntactic view, to characterize a theory one provides “a finite list of sentences given to count as axioms, plus a finite set of syntactic transformations, of an effective character, given to generate the set of all theorems from these axioms.” ([8], p. 305) The set of all such theorems is identified with the theory, and contains the set of all claims made by the theory about physical systems. Under the semantic approach, however, one “does not view a physical theory as… a kind of Principia Mathematica cum nonlogical postulates.” ([7], p. 337) Rather, “all the resources of mathematical English” are used to construct a theoretical framework, and “the theoretical reasoning of the physicist is viewed as ordinary mathematical reasoning concerning this framework.”