Hitting a Moving Target: Gödel, Carnap, and Mathematics as Logical Syntax

Philosophia Mathematica 27 (2):219-243 (2019)
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Abstract

From 1953 to 1959 Gödel worked on a response to Carnap’s philosophy of mathematics. The drafts display Gödel’s familiarity with Carnap’s position from The Logical Syntax of Language, but they received a dismissive reaction on their eventual, posthumous, publication. Gödel’s two principal points, however, will here be defended. Gödel, though, had wished simply to append a few paragraphs to show that the same arguments apply to Carnap’s later views. Carnap’s position, however, had changed significantly in the intervening years, and to a significant extent, this mature position realizes much of what Gödel himself wanted out of a philosophy of mathematics.

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Gregory Lavers
Concordia University

Citations of this work

Carnap and Beth on the Limits of Tolerance.Benjamin Marschall - 2021 - Canadian Journal of Philosophy 51 (4):282–300.
Carnap’s Defense of Impredicative Definitions.Vera Flocke - 2019 - Review of Symbolic Logic 12 (2):372-404.
Carnap's philosophy of mathematics.Benjamin Marschall - 2022 - Philosophy Compass 17 (11):e12884.
Herbert G. Bohnert: The Last Carnapian.Benjamin Marschall - 2024 - Hopos: The Journal of the International Society for the History of Philosophy of Science 14 (2):361-396.

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References found in this work

Empiricism, Semantics and Ontology.Rudolf Carnap - 1950 - Revue Internationale de Philosophie 4 (11):20-40.
The Logical Syntax of Language.Rudolph Carnap - 1936 - Philosophical Review 46 (5):549-553.
The Logical Syntax of Language.Rudolf Carnap & Amethe Smeaton - 1938 - Philosophy 13 (52):485-486.

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