On the extension of Beth's semantics of physical theories

Philosophy of Science 37 (3):325-339 (1970)
A basic aim of E. Beth's work in philosophy of science was to explore the use of formal semantic methods in the analysis of physical theories. We hope to show that a general framework for Beth's semantic analysis is provided by the theory of semi-interpreted languages, introduced in a previous paper. After developing Beth's analysis of nonrelativistic physical theories in a more general form, we turn to the notion of the 'logic' of a physical theory. Here we prove a result concerning the conditions under which semantic entailment in such a theory is finitary. We argue, finally, that Beth's approach provides a characterization of physical theory which is more faithful to current practice in foundational research in the sciences than the familiar picture of a partly interpreted axiomatic theory
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DOI 10.1086/288311
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O. Bueno (1997). Empirical Adequacy: A Partial Structures Approach. Studies in History and Philosophy of Science Part A 28 (4):585-610.
Steven French & James Ladyman (1999). Reinflating the Semantic Approach. International Studies in the Philosophy of Science 13 (2):103 – 121.
Rasmus Grønfeldt Winther (2012). Interweaving Categories: Styles, Paradigms, and Models. Studies in History and Philosophy of Science Part A 43 (4):628-639.

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