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References
Russell, B., The Principles of Mathematics, Cambridge (1903), 2nd edition London, 1937.
ibid., The axiom of infinity, Hibbert J. 2 (1903–4).
ibid., On some difficulties in the theory of transfinite numbers and order types, Proc. Lond. Math. Soc. 4 (1906).
ibid., Les paradoxes de la logique, Rev. mét. mor. 14 (1906).
ibid., Mathematical logic as based on the theory of types, A.J.M. 30 (1908), reprinted in [28].
ibid., Section III of Whitehead, A. N., On cardinal numbers, A.J.M. 24 (1902).
Whitehead, A. N. and Russell, B., Principia Mathematica, Cambridge (1910–13). Page references are to Volume I.
Keyser, C. J., Concerning the axiom of infinity and mathematical induction, Bull.A.M.S. 9 (1902–3).
ibid., The axiom of infinity: A new presupposition of thought, Hibbert J. 2 (1903–4), reprinted in [11].
ibid., The axiom of infinity, Hibbert J. 3 (1904–5).
ibid., The Human Worth of Rigorous Thinking, Essays and Addresses, New York (1916).
Hobson, E. W., On the general theory of transfinite numbers and order types, Proc. Lond. Math. Soc. 3 (1905).
Poincaré, H., Les mathématiques et la logique (3 papers), Rev. mét. mor. 13 and 14 (1905–6), as translated in Science and Method, New York, n.d., originally Paris, 1908.
ibid., Sur la nature du raisonnement mathématique, Rev. mét. mor. 2 (1894), as translated in Science and Hypothesis, New York, n.d., originally Paris, 1902.
ibid., Du rôle de l'intuition et de la logique en mathématiques, 2nd Int. Cong. Math (1900), as translated in The Value of Science, New York, n.d., originally Paris, 1905.
ibid., La logique de l'infini, Rev. mét. mor. 17 (1909), as translated in Mathematics and Science: Last Essays, New York, 1963, originally Paris, 1913.
Fraenkel, A., Abstract Set Theory, Amsterdam (1953), based upon Einleitung in die Mengenlehre, 2nd edn., Berlin, 1923, 3rd edn., Berlin, 1928. Cf. also Fraenkel, A. and Bar-Hillel, Y., Foundations of Set Theory, Amsterdam (1958).
Ramsey, F. P., The Foundations of Mathematics and other Logical Essays, ed. R. B. Braithwaite, London (1931).
Gödel, K., Russell's mathematical logic, as reprinted in Philosophy of Mathematics, Selected Readings, eds. Benacerraf, P. and Putnam, H., Oxford (1964). Originally published in The Philosophy of Bertrand Russell, ed. P. A. Schilpp, New York (1944).
Quine, W. V., Selected Logic Papers, New York (1966).
ibid., From a Logical Point of View, Cambridge, U.S.A. (1953).
ibid., Set Theory and its Logic, Cambridge, U.S.A. (1963 and 1969).
Wang, H., Russell and his logic, Ratio 7 (1965).
ibid., A Survey of Mathematical Logic, Peking and Amsterdam (1963).
Rosser, J. B. and Wang, H., Non-standard models for formal logic, J.S.L. 15 (1950).
Church, A., Mathematics and logic, in Contemporary Philosophy, Vol. I, ed. R. Klibansky, Florence (1968). Originally published without bibliography in Logic, Methodology, and Philosophy of Science, eds. Nagel, Suppes, and Tarski, Stanford, U.S.A. (1962).
Bowne, G. D., The Philosophy of Logic 1880–1908, The Hague (1966).
Mooij, J. J. A., La philosophie des mathématiques de Henri Poincaré, Paris and Louvain (1966).
van Heijenoort, J., ed., From Frege to Gődel, A Source Book in Mathematical Logic, Cambridge, U.S.A. (1967).
Shoenfield, J., Mathematical Logic, Reading, U.S.A. (1967).
Benacerraf, P., What numbers could not be, Phil. Rev. 74 (1965).
Moss, J. M. B., Kreisel's work on the philosophy of mathematics, I. Realism, in Logic Colloquium '69, eds. Gandy and Yates, Amsterdam and London (1971).
ibid., Quantifiers, numbers, and the bounds of logic, A.S.L. meeting, Cambridge, August 1971. Abstract to appear J.S.L. 37 (1972).
Mostowski, A., Recent results in set theory, in Problems in the Philosophy of Mathematics, ed. I. Lakatos, Amsterdam (1967).
Feferman, S. (with appendix by Kreisel, G.), Set-theoretical foundations of category theory, in Reports of the Midwest Category Seminar III, ed. S. MacLane, Springer Lecture Notes in Mathematics 106 (1969).
Rosser, J. B., Logic for Mathematicians, New York (1953).
Pollock, J. L., On logicism, in Essays on Bertrand Russell, ed. E. D. Klemke, Urbana, U.S.A. (1970).
Vuillemin, J., Leçons sur la première philosophie de Russell, Paris (1968).
Hahn, H., Űberflűssige Wesenheiten, Vienna (1930).
Parsons, C. D., A plea for substitutional quantification, J. Phil. 68 (1971).
ibid., Ontology and mathematics, Phil. Rev. 80 (1971).
Myhill, J. R., The hypothesis that all classes are nameable, Proc. Nat. Acad. Sci. 38 (1952).
Tarski, A., Logic, Semantics, Metamathematics, Papers from 1923 to 1938, Oxford (1956).
Chwistek, L., Antynomje logiki formalnej, Przeglad Filozoficzny 24 (1921), as translated in Polish Logic, 1920–1939, ed. S. McCall, Oxford (1967).
Moss, J. M. B., Syntactic and semantic paradoxes (abstract), J.S.L. 31 (1966).
Tarski, A., A problem concerning the notion of definability, J.S.L. 13 (1948).
Montague, R. M., Theories incomparable with respect to relative interpretability, J.S.L. 27 (1962), publ. 1963.
Martin, R. M., Truth and Denotation, London (1958).
Kneale, W. C. and M., The Development of Logic, Oxford (1962).
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Moss, J.M.B. (1972). Some B. Russell's sprouts (1903 – 1908). In: Hodges, W. (eds) Conference in Mathematical Logic — London ’70. Lecture Notes in Mathematics, vol 255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059547
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