Hostname: page-component-5c6d5d7d68-ckgrl Total loading time: 0 Render date: 2024-08-15T20:06:51.437Z Has data issue: false hasContentIssue false

Carnap, the Principle of Tolerance, and Empiricism

Published online by Cambridge University Press:  01 January 2022

Abstract

Kurt Gödel criticizes Rudolf Carnap's conventionalism on the grounds that it relies on an empiricist admissibility condition, which, if applied, runs afoul of his second incompleteness theorem. Thomas Ricketts and Michael Friedman respond to Gödel's critique by denying that Carnap is committed to Gödel's admissibility criterion; in effect, they are denying that Carnap is committed to any empirical constraint in the application of his principle of tolerance. I argue in response that Carnap is indeed committed to an empirical requirement vis-à-vis tolerance, a fact that becomes clear upon closer scrutiny of Carnap's relevant writings.

Type
Research Article
Copyright
Copyright © The Philosophy of Science Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Awodey, Steve, and Carus, A. W. 2004. “How Carnap Could Have Replied to Gödel.” In Carnap Brought Home: The View from Jena, ed. Awodey, Steve and Klein, Carsten, 203–23. Chicago: Open Court.Google Scholar
Carnap, Rudolf. 1932. “Erwiderung auf die Aufsätze von E. Zilsel und K. Duncker.” Erkenntnis 3:177–88.CrossRefGoogle Scholar
Carnap, Rudolf. 1932/1987. “On Protocol Sentences.” Trans. Richard Creath and Richard Nollan. Repr. Noûs 21:457–70.Google Scholar
Carnap, Rudolf. 1934/1937. The Logical Syntax of Language. Trans. Smeaton, Amethe. Repr. Chicago: Open Court.Google Scholar
Carnap, Rudolf. 1936/1937. “Testability and Meaning.” Pts. 1 and 2. Philosophy of Science 3:419–71; 4:1–40.CrossRefGoogle Scholar
Carnap, Rudolf. 1939. “Foundations of Logic and Mathematics.” International Encyclopedia of Unified Science 1:143212.Google Scholar
Carnap, Rudolf. 1956. “Empiricism, Semantic and Ontology.” In Meaning and Necessity: A Study in Semantics and Modal Logic, 205–21. 2nd ed. Chicago: University of Chicago Press.Google Scholar
Carnap, Rudolf. 1963. “Intellectual Autobiography.” In The Philosophy of Rudolf Carnap, ed. Schilpp, Paul, 384. LaSalle, IL: Open Court.Google Scholar
Friedman, Michael. 2001. “Tolerance and Analyticity in Carnap's Philosophy of Mathematics.” In Future Pasts: The Analytic Tradition in Twentieth-Century Philosophy, ed. Floyd, Juliet and Shieh, Sanford, 223–55. Oxford: Oxford University Press.Google Scholar
Gödel, Kurt. 1995. “Is Mathematics Syntax of Language?” In Collected Works: Unpublished Essays and Lectures, ed. Feferman, Solomon, Dawson, J. W. Jr., Goldfarb, Warren, Parsons, Charles, and Solovay, R. M., 334–62. Vol. 3. Oxford: Oxford University Press.Google Scholar
Hempel, Carl. 1935. “On the Logical Positivist's Theory of Truth.” Analysis 2:4959.CrossRefGoogle Scholar
Richardson, Alan. 1997. “Two Dogmas about Logical Empiricism: Carnap and Quine on Logic, Epistemology, and Empiricism.” Philosophical Topics 25:145–68.CrossRefGoogle Scholar
Richardson, Alan. 2004. “Tolerating Semantics: Carnap's Philosophical Point of View.” In Carnap Brought Home: The View from Jena, ed. Awodey, Steve and Klein, Carsten, 6378. Chicago: Open Court.Google Scholar
Ricketts, Thomas. 1994. “Carnap's Principle of Tolerance, Empiricism, and Conventionalism.” In Reading Putnam, ed. Clark, Peter and Hale, Bob, 176200. Cambridge: Blackwell.Google Scholar
Ricketts, Thomas. 2007. “Tolerance and Logicism: Logical Syntax and the Philosophy of Mathematics.” In The Cambridge Companion to Carnap, ed. Friedman, Michael and Creath, R., 200225. Cambridge: Cambridge University Press.CrossRefGoogle Scholar