How Tarskian are Carnap's Semantics?

History and Philosophy of Logic (forthcoming)
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Abstract

It is a commonplace of the history of analytic philosophy that Carnap swiftly adopted Tarskian semantics in the mid-1930s. There is no doubt that, in a very general sense, this is true. But to what extent are the innovative technical details characteristic of Tarski's method, specifically the handling of quantification by way of a satisfaction relation between formulas and variable assignments, reflected in Carnap's writings on semantics? Curiously enough, their essentials are in place just before Carnap took the purported Tarskian turn, namely in the definition of analyticity he formulated some time between September 1932 and April 1933, but are missing from his publications on semantics after 1935 until the final chapter of Meaning and Necessity of 1947, at which point we find Carnap reverting to the use of specifically Tarskian techniques in the context of his novel semantics for quantified modal languages.

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Kai Wehmeier
University of California, Irvine

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References found in this work

Tractatus logico-philosophicus.Ludwig Wittgenstein - 1922 - Filosoficky Casopis 52:336-341.
Introduction to mathematical logic.Alonso Church - 1958 - Revue de Métaphysique et de Morale 63 (1):118-118.
Modalities and quantification.Rudolf Carnap - 1946 - Journal of Symbolic Logic 11 (2):33-64.
Introduction to Semantics.Rudolf Carnap - 1942 - Zeitschrift für Philosophische Forschung 5 (3):459-464.
The proper treatment of variables in predicate logic.Kai F. Wehmeier - 2018 - Linguistics and Philosophy 41 (2):209-249.

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