Witti-Buch2 2001.qxd - Austrian Ludwig Wittgenstein Society

Brian David Mogck
formulas or inferences. Logical syntax is thus better conceived as a logical model of
certain local patterns of inference, than as a logical foundation for objectively valid
logical and mathematical truths. Logical syntax can attain to descriptive completeness
(i.e. capturing some intended set of inferential structures), and it is an interesting
question for further research whether any descriptively complete logical syntax for some
fragment of a language exists.
References:
Carnap, R. (1935). Philosophy and Logical Syntax. London: Routledge & Kegan
Paul. [PLS]
Carnap, R. (1937). Logical Syntax of Language. Translated by A. Smeaton. London:
Kegan Paul. [LSL]
Carnap, R. (1950). "Empiricism, Semantics, and Ontology." Revue Internationale de
Philosophie 4: 20-40.
Gödel, K. (1995). "Is Mathematics Syntax of Language? [Versions III, IV]." In S.
Feferman et. al. Kurt Gödel: Collected Works, vol. III. Oxford: Oxford University
Press., pp. 334-62.
Goldfarb, W. (1995). Introductory note to Gödel 1995. In S. Feferman et. al. 1995.,
pp. 324-334.
Goldfarb, W. 1996. "The Philosophy of Mathematics in Early Positivism." In
R.N.Giere and A.W. Richardson (eds.) Origins of Logical Empiricism.
Minneapolis/London: University of Minnesota Press., pp. 213-30.
Hintikka, J. (1998). "Is there Completeness in Mathematics After Gödel?" In
Language, Truth, and Logic in Mathematics. Selected Papers Vol. 3. Dordrecht:
Kluwer., pp. 62-83.
Hintikka, J. (1992). "Carnap's Work in the Foundations of Logic and Mathematics in a
Historical Perspective." Synthese 93: 167-89.
Marion, M. (1998). Wittgenstein, Finitism and the Foundations of Mathematics.
Oxford:Oxford University Press.
Proust, J. (1987). "Formal Logic as Transcendental in Wittgenstein and Carnap."
Nôus 1: 501-20.
Wittgenstein, L. (1961). Tractatus Logico-Philosophicus. Translated by D.F. Pears
and B.F. McGuiness. London: Routledge [1921]. [TLP]
Wittgenstein, L. (1974). Philosophical Grammar. Ed. R. Rhees. Translated by
A.Kenny. Berkeley: University of California Press. [PG]
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