This is a preview of subscription content, log in via an institution to check access.
Bibliography
Ayer, A. J., 1972, Russell, Viking, New York.
Black, M., 1944, Russell's philosophy of language, in Schilpp.
Carroll, L., 1895, What the tortoise said to Achilles, Mind.
Frege, G., 1882, Uber den Zweck der Begriffschrift, Jenische Zeitschrift für Naturwissenschaft. Translated in Frege, 1972.
Frege, G., 1892, Uber Begriff und Gegenstand, Vierteljahrschrift für wissenschaftliche Philosophie. Translated in Frege, 1952.
Frege, G., 1952, Translations from the Philosophical Writings of Gottlob Frege, ed. P. Geach and M. Black, Blackwell, Oxford, 1952. Second edition, 1960.
Frege, G., 1972, Conceptual Notation and Related Articles, ed. T. W. Bynum, Clarendon Press, Oxford, 1972.
Grattan-Guinness, I., 1974, The Russell archives: Some new light on Russell's logicism, Annals of Science.
Hylton, P. W., forthcoming, Russell and the Origins of Analytic Philosophy, Oxford University Press.
Jager, R., 1972, The Development of Bertrand Russell's Philosophy, Allen & Unwin, London.
Moore, G. E., 1899, The nature of judgment, Mind.
Quine, W. V. O., 1963, Set Theory and its Logic, Harvard, Cambridge, Mass.
Quine, W. V. O., 1966, Russell's ontological development, Journal of Philosophy.
Quine, W. V. O., 1967, Introduction to Russell, 1908, in van Heijenoort, 1967a.
Russell, B. A. W., 1900, The Philosophy of Leibniz, Cambridge U.P., London. Allen and Unwin, London, 1937.
Russell, B. A. W., 1902, Letter to Frege, 16th June 1902, printed in van Heijenoort, 1967a.
Russell, B. A. W., 1903, The Principles of Mathematics, Cambridge U.P., London Allen and Unwin, London, 1937.
Russell, B. A. W., 1904, Meinong's theory of complexes and assumptions, Mind. Reprinted in Russell, 1973.
Russell, B. A. W., 1905a, The existential import of propositions, Mind. Reprinted in Russell, 1973.
Russell, B. A. W., 1905b, On denoting, Mind, 1905. Reprinted in Russell, 1973.
Russell, B. A. W., 1906a, On some difficulties in the theory of transfinite numbers and order types, Proceedings of the London Mathematical Society. Reprinted in Russell, 1973.
Russell, B. A. W., 1906b, On the substitutional theory of classes and relations, first published in Russell, 1973.
Russell, B. A. W., 1906c, Les paradoxes de la logique, Revue de Metaphysique et de Morale. Reprinted under the title On ‘Insolubilia’ and their solution by symbolic logic in Russell, 1973.
Russell, B. A. W., 1907a, On the nature of truth, Proceedings of the Aristotelian Society.
Russell, B. A. W., 1907b, The regressive method of discovering the premisses of mathematics, first printed in Russell, 1973.
Russell, B. A. W., 1908, Mathematical logic as based on the theory of types, American Journal of Mathematics. Reprinted in Russell, 1956.
Russell, B. A. W., 1910, Philosophical Essays, Longmans, London, 1910. Allen and Unwin, London, 1966.
Russell, B. A. W., 1912, The Problems of Philosophy, William and Norgate, London. Oxford U.P., London, 1959.
Russell, B. A. W., 1944, My mental development, in Schilpp, 1944.
Russell, B. A. W., 1956, Logic and Knowledge, ed. R. Marsh, Allen and Unwin, London, 1956.
Russell, B. A. W., 1973, Essays in Analysis, ed. D. Lackey, Braziller, New York.
Sainsbury, M., 1979, Russell, Routledge and Kegan Paul, London.
Schilpp, P. A., 1944, The Philosophy of Bertrand Russell, Northwestern, Chicago.
van Heijenoort, J., 1967a, Sourcebook in Mathematical Logic, Harvard, Cambridge, Mass., 1967.
van Heijenoort, J., 1967b, Logic as calculus and logic as language, Synthese.
Whitehead, A. N., and Russell, 1910, Principia Mathematica, vol. I, Cambridge U.P., London, 1910. Cambridge U.P., London, 1925.
Author information
Authors and Affiliations
Additional information
I am indebted to Burton Dreben for helpful discussions and advice; and to Susan Neiman for criticism of the final draft of this paper.
Rights and permissions
About this article
Cite this article
Hylton, P. Russell's substitutional theory. Synthese 45, 1–31 (1980). https://doi.org/10.1007/BF00413984
Issue Date:
DOI: https://doi.org/10.1007/BF00413984