Abstract
My purpose in this paper is to present an account of certain of the principal results that have been obtained in the field of formal semantics. These results will be stated in what from the logician’s point of view is an informal way; that is, in stating them there will be little or no use of a precisely formalized language (though we shall of course speak about such languages). These results will, however, be stated as precisely as is possible within a non-formalized language. Taken together, my statements of these results will constitute what I believe to be a representative survey of what has been accomplished within the field of formal semantics.
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References
See Alfred Tarski, ‘The Concept of Truth in Formalized Languages’, and ‘The Establishment of Scientific Semantics’ both in his Logic, Semantics, Metamathematics, Oxford, 1956, pp. 152–278 and 401–408; also ‘The Semantic Conception of Truth and the Foundations of Semantics’, Philosophy and Phenomenological Research 4 (1944) 341–376.
Tarski, A., Logic, Semantics, Metamathematics, p. 195.
Tarski, A., Ibid., pp. 187–188.
Tarski, A., ‘The Semantic Conception of Truth and the Foundations of Semantics’, Philosophy and Phenomenological Research 4 (1944) 342.
Rudolf Carnap, Introduction to Semantics, Part B., Harvard University Press, Cambridge, Mass., 1948.
See Alfred Tarski, Logic, Semantics, Metamathematics pp. 247–254.
Richard Martin, Truth and Denotation, Chicago, 1958.
Ibid. pp. 108–110.
Ibid. pp. 104–108.
Ibid. pp. 115–119.
Ibid. pp. 119–122.
Ibid. Chapter VI.
Alfred Tarski, Logic, Semantics, Metamathematics pp. 255–263.
See Rudolf Carnap, Introduction to Semantics, Part C; and Logical Foundations of Probability, Chicago, 1950, pp. 70–89.
Rudolf Carnap, Introduction to Semantics, pp. 134–138.
See Rudolf Carnap, ‘Meaning Postulates’, Philosophical Studies 3 (1952) 65–73. Carnap here ascribes the method of meaning postulates to John G. Kemeny.
John G. Kemeny, ‘A New Approach to Semantics’, The Journal of Symbolic Logic 21 (1956) 1–27 and 149–161.
Ibid. Theorem 27. See Leon Henkin, ‘Completeness in the Theory of Types’, The Journal of Symbolic Logic 15 (1950) 81–91.
See also Alonzo Church, An Introduction to Mathematical Logic, Vol. I, Princeton, 1956, pp. 307–315.
See W. V. O. Quine, ‘Designation and Existence’, Journal of Philosophy 36 (1939) 701–709; ‘On What There Is’, Review of Metaphysics 2 (1948) 21–38; ‘Logic and the Reification of Universals’ in From a Logical Point of View, Cambridge, Mass., 1953, pp. 102–129.
W. V. O. Quine, Review of Metaphysics 2 (1948) 25ff.
W. V. O. Quine, From a Logical Point of View, p. 103.
W. V. O. Quine, Review of Metaphysics 2 (1948) 32.
W. V. O. Quine, Journal of Philosophy 36 (1939) 708.
Alonzo Church, ‘Ontological Commitment’, Journal of Philosophy 55 (1958) 1008.
See Nelson Goodman and W. V. O. Quine, ‘Steps Towards a Constructive Nominalism’, Journal of Symbolic Logic 12 (1947) 105–122, and Richard Martin, op. cit., Chapters XI and XII. See also R. M. Martin and J. H. Woodger, ‘Toward an Inscriptional Semantics’, The Journal of Symbolic Logic 16 (1951) 193–203.
See Richard Martin, The Notion of Analytic Truth, University of Pennsylvania Press, Philadelphia, 1959.
W. V. O. Quine, ‘Semantics and Abstract Objects’, Proceedings of the American Academy of Arts and Sciences 80 (1951) 94–95.
See Ibid., pp. 91–94; Also W. V. O. Quine, ‘Two Dogmas of Empiricism’, Philosophical Review 60 (1951) 22.
W. V. O. Quine, Review of Metaphysics 2 (1948) 30–31.
W. V. O. Quine, ‘Semantics and Abstract Objects’, Proceedings and Addresses of the American Philosophical Association 31 (1957–1958) 19.
31.Ibid. p. 20.
Alonzo Church, ‘The Need for Abstract Entities in Semantic Analysis’, Proceedings of the American Academy of Arts and Sciences 80 (1951) 100–101.
Loc. cit.
Ibid. 101–104.
A. Church, ‘A Review of Quine’, The Journal of Symbolic Logic 8 (1943) 45–47.
A. Church, ‘A Formulation of the Logic of Sense and Denotation’, Structure, Meaning and Method (Ed. by P. Henle), Liberal Arts Press, 1951, p. 11.
A.Church, Proceedings of the American Academy of Arts and Sciences 80 (1951) 104.
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© 1964 D. Reidel Publishing Company/Dordrecht-Holland
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Rogers, R. (1964). A Survey of Formal Semantics. In: Gregg, J.R., Harris, F.T.C. (eds) Form and Strategy in Science. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-3603-0_10
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