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12 - The logical analysis of language

from 3 - Logic, mathematics, and judgement

Published online by Cambridge University Press:  28 March 2008

David Bell
Affiliation:
University of Sheffield
Thomas Baldwin
Affiliation:
University of York
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Summary

The aim of this chapter is to chart the emergence and early development, particularly in the works of Gottlob Frege and Bertrand Russell, of a revolutionary approach to the solution of philosophical problems concerning the nature of human understanding, thought, and judgement. That approach has been hugely influential and, perhaps more than any other single factor, has determined the subsequent course of twentieth-century Anglophone, ‘analytic’ philosophy, as a result of the developments and modifications it subsequently underwent in the hands of Wittgenstein, Carnap, Quine, Tarski, Ryle, Davidson, Kripke, Dummett, and those whom they, in their turn, have influenced. Amongst the elements of this new approach to have emerged during the period from 1879 to 1914, emphasis will here be placed on those involving new conceptions of logic, logical analysis, linguistic analysis, meaning, and thought, in the context of an overall anti-psychologism, and a commitment to taking what came to be called ‘the linguistic turn’.

BACKGROUND

The nature of our conceptual, discursive, rational abilities – the nature, that is, of human concepts, ideas, representations, understanding, reason, thought, and judgement – has been a perennial and central focus of philosophical concern since at least the time of Plato. And for over two thousand years, from the appearance of the works comprising Aristotle’s Organon to the publication of Frege’s Begriffsschrift and Grundlagen (Frege 1879, 1884), that concern typically relied upon an intuitively attractive, indeed apparently inescapable set of general assumptions concerning the nature of the phenomena (for a detailed account of this tradition, see Prior 1976).

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Publisher: Cambridge University Press
Print publication year: 2003

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References

Ayer, A. J. (1971). Russell and Moore: The Analytical Heritage, London: Macmillan.CrossRefGoogle Scholar
Ayer, A. J. (1972). Russell, London: Fontana/Collins.Google Scholar
Bell, D. (1979). Frege’s Theory of Judgement, Oxford: Oxford University Press.Google Scholar
Bell, D. (1996). ‘The Formation of Concepts and the Structure of Thoughts’, Philosophy and Phenomenological Research 61.Google Scholar
Brentano, F. (1874). Psychologie vom empirischen Standpunkt, Leipzig: Duncker and Humboldt. Trans. 1973 Rancurello, A., Terrell, D., and McAlister, L. L., Psychology from an Empirical Standpoint, London: Routledge & Kegan Paul.Google Scholar
Clark, R. W. (1975). The Life of Bertrand Russell, London: Jonathan Cape and Weidenfeld and Nicolson.Google Scholar
Dummett, M. A. E. (1973). Frege: Philosophy of Language, London: Duckworth.Google Scholar
Dummett, M. A. E. (1981). The Interpretation of Frege’s Philosophy, London: Duckworth.Google Scholar
Dummett, M. A. E. (1988 and 1994). Ursprünge der analytischen Philosophie, Frankfurt: Suhrkamp. English version: Origins of Analytical Philosophy, London: Duckworth, 1993; Cambridge, MA: Harvard University Press, 1994.Google Scholar
Dummett, M. A. E. (1991). Frege: Philosophy of Mathematics, London: Duckworth.Google Scholar
Evans, G. (1982). The Varieties of Reference, Oxford: Oxford University Press.Google Scholar
Frege, G. (1879). Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens, Halle: L. Nebert. Trans. 1972 Bynum, T. W., Conceptual Notation and Other Articles, Oxford: Oxford University Press.Google Scholar
Frege, G. (1884). Grundlagen der Arithmetik, eine logisch-mathematische Untersuchung über den Begriff der Zahl, Breslau: W. Koebner. Trans. with German text 1953 Austin, J. L., The Foundations of Arithmetic, Oxford: Blackwell.Google Scholar
Frege, G. (1892). ‘Über Sinn und Bedeutung’, Zeitschrift für Philosophie und philosophische Kritik 100. Trans. 1984 Black, M., ‘On Sense and Meaning’, in Frege, G. (ed. McGuinness, B.), Collected Papers on Mathematics, Logic, and Philosophy, Oxford: Blackwell.Google Scholar
Frege, G. (1893). Grundgesetze der Arithmetik (vol. I), Jena: H. Pohle. Partial trans. Furth, M. 1964, The Basic Laws of Arithmetic: Exposition of the System, Berkeley: University of California Press.Google Scholar
Frege, G. (1903). Grundgesetze der Arithmetik (vol. II), Jena: H. Pohle. Partial trans. Furth, M. 1964, The Basic Laws of Arithmetic: Exposition of the System, Berkeley: University of California Press.Google Scholar
Frege, G. (1918). ‘Der Gedanke. Eine Logische Untersuchung’, Beiträge zur Philosophie des deutschen Idealismus 1. Trans. 1984 Geach, P. and Stoothoff, R., ‘Thoughts’, in Frege, G. (ed. McGuinness, B.), Collected Papers on Mathematics, Logic, and Philosophy, Oxford: Blackwell.Google Scholar
Hylton, P. (1990). Russell, Idealism and the Emergence of Analytic Philosophy, Oxford: Oxford University Press.Google Scholar
Kant, I. (1787). Kritik der reinen Vernunft, 2nd edn, Riga: Hartknoch. Trans. 1933 Smith, N. Kemp, Immanuel Kant’s Critique of Pure Reason, London: Macmillan.Google Scholar
Kneale, W. C. and Kneale, M. (1962). The Development of Logic, Oxford: Oxford University Press.Google Scholar
Moore, G. E. (1899). ‘The Nature of Judgement’, Mind 8.Google Scholar
Orstertag, G. (ed.) (1998). Definite Descriptions. A Reader, Cambridge, MA: MIT Press.Google Scholar
Passmore, J. A. (1957). A Hundred Years of Philosophy, London: Duckworth.Google Scholar
Pears, D. F. (1967). Bertrand Russell and the British Tradition in Philosophy, New York: Random House.Google Scholar
Prior, A. N. (1976). The Doctrine of Propositions and Terms, London: Duckworth.Google Scholar
Quine, W. V. O. (1974). Methods of Logic, 3rd edn, London: Routledge.Google Scholar
Resnik, M. (1980). Frege and the Philosophy of Mathematics, Ithaca: Cornell University Press.Google Scholar
Russell, B. A. W. (1903). The Principles of Mathematics, Cambridge: Cambridge University Press. 2nd edn (with a new introduction) 1937, London: George Allen and Unwin.Google Scholar
Russell, B. A. W. (1905). ‘On Denoting’, Mind ns 14. Repr. 1956 in Russell, B. A. W., ed. Marsh, R. C., Logic and Knowledge, London: George Allen and Unwin.Google Scholar
Russell, B. A. W. (1912). The Problems of Philosophy, London: Williams and Norgate, repr. 1959 Oxford: Oxford University Press.Google Scholar
Russell, B. A. W. (1913). Theory of Knowledge. Posthumously published 1984 in Russell, B. A. W. (ed. Eames, E. R.), The Collected Papers of Bertrand Russell, vol. VII, Theory of Knowledge: The 1913 Manuscript, London: George Allen and Unwin.Google Scholar
Russell, B. A. W. (1914a). ‘On the Nature of Acquaintance’, Monist 24. Repr. 1956 in Russell, B. A. W., ed. Marsh, R. C., Logic and Knowledge, London: George Allen and Unwin.Google Scholar
Russell, B. A. W. (1914b). Our Knowledge of the External World as a Field for Scientific Method in Philosophy, London: George Allen and Unwin.Google Scholar
Russell, B. A. W. (1918). ‘The Philosophy of Logical Atomism’, Monist 28. Repr. 1956 in Russell, B., ed. Marsh, R. C., Logic and Knowledge, London: George Allen and Unwin.Google Scholar
Russell, B. A. W. (1921). The Analysis of Mind, London: George Allen and Unwin.Google Scholar
Russell, B. A. W. (1927). The Analysis of Matter, New York: Harcourt Brace and London: Kegan Paul.Google Scholar
Russell, B. A. W. (1940). An Enquiry into Meaning and Truth, New York: Norton and London: George Allen and Unwin.Google Scholar
Russell, B. A. W. (1948). Human Knowledge, Its Scope and Limits, London: George Allen and Unwin.Google Scholar
Sainsbury, R. M. (1979). Russell, London: Routledge.Google Scholar
Whitaker, C. W. A. (1996). Aristotle’s ‘De Interpretatione’: Contradiction and Dialectic, Oxford: Oxford University Press.Google Scholar
Whitehead, A. N. and Russell, B. A. W. (1910–13). Principia Mathematica, 3 vols., Cambridge: Cambridge University Press.Google Scholar
Wittgenstein, L. (1921). Logische-philosophische Abhandlung. Trans. with German text, 1974 Pears, D. F. and McGuinness, B., Tractatus Logico-Philosophicus, London: Routledge.Google Scholar
Wittgenstein, L. (1974). Letters to Russell, Keynes and Moore, ed. Wright, G. H., Oxford: Blackwell.Google Scholar
Wright, C. (ed.)(1983). Frege: Tradition and Influence, Oxford: Blackwell.Google Scholar
Wundt, W. (1874). Grundzüge der physiologischen Psychologie, Leipzig: Engelmann. Partial trans. 1904 Titchener, E. B., Principles of Physiological Psychology, New York: Macmillan.Google Scholar

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