Skip to main content
Log in

Tolerance and metalanguages in Carnap'sLogical Syntax of Language

  • Published:
Synthese Aims and scope Submit manuscript

Abstract

Michael Friedman has recently argued that Carnap'sLogical Syntax of Language is fundamentally flawed in a way that reveals “the ultimate failure of logical positivism”. Friedman's argument depends crucially on two claims: (1) that Carnap was committed to the view that there is a universal metalanguage and (2) that given what Carnap wanted from a metalanguage, in particular given that he wanted a definition of ‘analytic’ for an object language, he was in fact committed to a hierarchy of stronger and stronger metalanguages. We argue that neither of these claims need be accepted. We show that there is no textual evidence for (1) and that if metalanguages are to be used for merely descriptive and not also justificatory purposes, Carnap does not need to define analyticity sufficiently for proving consistency, and so could have given a definition that does not entail a hierarchy of metalanguages.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Carnap, Rudolf: 1937,The Logical Syntax of Language, trans. by Amethe Smeaton, Routledge & Kegan Paul, London.

    Google Scholar 

  • Carnap, Rudolf: 1942,Introduction to Semantics, reprinted inIntroduction to Semantics and Formalization of Logic: Two Volumes in One, Harvard University Press, Cambridge, 1968.

    Google Scholar 

  • Carnap, Rudolf: 1963, ‘Intellectual Autobiography’, in Paul Arthur Schilpp (ed.),The Philosophy of Rudolf Carnap, Open Court, La Salle.

    Google Scholar 

  • Carnap, Rudolf: 1967,The Logical Structure of the World, trans. by Rolf A. George, University of California Press, Berkeley: (German original 1928:Der Logische Aufbau der Welt).

    Google Scholar 

  • Coffa, Alberto: 1986, ‘From Geometry to Tolerance’,From Quarks to Quasars, University of Pittsburgh Series in thePhilosophy of Science, Vol. 7, University of Pittsburgh Press, Pittsburgh, pp. 3–70.

    Google Scholar 

  • Coffa, Alberto: 1987, ‘Carnap, Tarski and the Search for Truth’,Noûs 21, 547–72.

    Google Scholar 

  • Friedman, Michael: 1983,Foundations of Space-Time Theories, Princeton University Press, Princeton.

    Google Scholar 

  • Friedman, Michael: 1987, ‘Carnap's Aufbau Reconsidered’,Noûs 21, 521–45.

    Google Scholar 

  • Friedman, Michael: 1988, ‘Logical Truth and Analyticity in Carnap'sLogical Syntax of Language’, in William Aspray and Philip Kitcher (eds.),Minnesota Studies in Philosophy of Science, Vol. 11, University of Minnesota Press, Minneapolis, pp. 82–94.

    Google Scholar 

  • Friedman, Michael: 1991, ‘The Re-evaluation of Logical Positivism’,Journal of Philosophy 88, 505–19.

    Google Scholar 

  • Friedman, Michael: 1992, ‘Philosophy and the Exact Sciences: Logical Positivism as a Case Study’, in J. Earman (ed.),Inference, Explanation and Other Frustrations, University of California Press, Berkeley, pp. 84–98.

    Google Scholar 

  • Goldfarb, Warren: 1979, ‘Logic in the Twenties: the Case of the Quantifier’,Journal of Symbolic Logic 44, 351–78.

    Google Scholar 

  • Goldfarb, Warren and Ricketts, Thomas: 1992, ‘Carnap and the Philosophy of Mathematics’, in David Bell and Willhelm Vossenkuhl (eds.),Wissenschaft und Subjektivität: Science and Subjectivity, Academie Verlag, Berlin, pp. 61–78.

    Google Scholar 

  • Kirkham, Richard: 1992,Theories of Truth, MIT Press/Bradford, Cambridge.

    Google Scholar 

  • Montague, R.: 1957, Review of Wang ‘Remarks on the Comparisons of Axiom Systems’,Journal of Symbolic Logic 22, 365–7.

    Google Scholar 

  • Mostowski, A.: 1950, ‘Some Impredicative Definitions in the Axiomatic Set Theory’,Fundamenta Mathematicae 37, 111–24.

    Google Scholar 

  • Mostowski, A.: 1951, Review of Wang ‘Remarks on the Comparisons of Axiom Systems’,Journal of Symbolic Logic 16, 142–3.

    Google Scholar 

  • Novak, Ilse: 1950, ‘A Construction for Models of Consistent Systems’,Fundamenta Mathematicae 37, 87–110.

    Google Scholar 

  • Oberdan, Thomas: 1992, ‘The Concept of Truth in Carnap'sLogical Syntax of Language’,Synthese 93, 239–60.

    Google Scholar 

  • Rosser, J. B. and Wang, Hao: 1950, ‘Non-standard Models for Formal Logics’,Journal of Symbolic Logic 15, 113–29.

    Google Scholar 

  • Rosser, J. B.: 1955,Deux Esquisses de Logique, Gauthier-Villars, Paris.

    Google Scholar 

  • Sarkar, Sahotra: 1992, ‘“The Boundless Ocean of Unlimited Possibilities”: Logic in Carnap'sLogical Syntax of Language’,Synthese 93, 191–237.

    Google Scholar 

  • Skolem, T.: 1951, Review of Mostowski ‘Some Impredicative Definitions in the Axiomatic Set Theory’,Journal of Symbolic Logic 16, 274–5.

    Google Scholar 

  • Tait, W. W.: 1981, ‘Finitism’,Journal of Philosophy 78, 524–46.

    Google Scholar 

  • Tarski, Alfred: 1936, ‘Der Wahrheitsbegriff in den formalisierten Sprachen’,Studia Philosophica 1, 261–405, Originally published in Polish in 1933. In English in (Tarski, 1956).

    Google Scholar 

  • Tarski, Alfred: 1956, in J. H. Woodger (ed.),Logic, Semantics, Metamathematics, Clarendon, Oxford.

    Google Scholar 

  • Wang, Hao: 1950, ‘Remarks on the Comparison of Axiom Systems’,Proceedings of the National Academy of Sciences 35, 448–53.

    Google Scholar 

  • Wang, Hao: 1952, ‘Truth Definitions and Consistency Proofs’,Proceedings of the American Mathematical Society 243–75.

  • Wang, Hao: 1986,Beyond Analytic Philosophy, MIT Press, Cambridge.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to David Devidi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Devidi, D., Solomon, G. Tolerance and metalanguages in Carnap'sLogical Syntax of Language . Synthese 103, 123–139 (1995). https://doi.org/10.1007/BF01063720

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01063720

Keywords

Navigation