@article{PHSC_1996__1_3_17_0, author = {de Rouilhan, Philippe}, title = {Towards finishing off the axiom of reducibility}, journal = {Philosophia Scientiae}, pages = {17--35}, publisher = {\'Editions Kim\'e}, volume = {1}, number = {3}, year = {1996}, language = {en}, url = {http://archive.numdam.org/item/PHSC_1996__1_3_17_0/} }
de Rouilhan, Philippe. Towards finishing off the axiom of reducibility. Philosophia Scientiae, Logique. Actes du Congrès International Henri Poincaré. Nancy 1994, Tome 1 (1996) no. 3, pp. 17-35. http://archive.numdam.org/item/PHSC_1996__1_3_17_0/
Non-well Founded Sets, CSLI Lectures Notes n° 14.
1987Comparison of Russell's Resolution of the Semantical Antinomies with that of Tarski, Journal of Symbolic Logic 41, 747-60. | Zbl
1976Antynomie logiki formalnej, Przeglad Filozoficzny 24; 164-171 (english trans., "Antinomies of Formal Logic", in [McCall 1967]).
1921Ueber die Antinomien der Prinzipien der Mathematik, Mathematische Zeitschrift 14, 236-243. | JFM
1922Neue Grundlagen der Logik und Mathematik, Mathematische Zeitschrift 30. | JFM
1929The Inconsistency or Redundancy of Principia Mathematica, Philosophical and Phenomenological Research 11, 190-199. | Zbl
1950The Theory of Logical Types, London : Routledge and Kegan Paul.
1971Systems of Predicative Analysis, The Journal of Symbolic Logic 29, 1-30. | Zbl
1964Russell's Mathematical Logic, in [Schilpp 1944, 123-153] (reprinted. in [Gödel 1986-??, vol. II, 119-141])
1944Collected Works (ed. by S. Feferman et alii), New York et Oxford : Oxford University Press, vol. I, Publications 1929-1936, 1986;vol. II, Publications 1938-1974, 1990; vol. III, Unpublished Essays and Lectures, 1995; vol. IV, forthcoming. | Zbl
1986-??Arithmetical Predicates and Function Quantifiers, Transactions of the American Mathematical Society 79, 312-340. | Zbl
1955aHierarchies of Number Theoretic Predicates, Bulletin of the American Mathematical Society 61, 193-213. | Zbl
1955bQuantification of Number-theoretic Functions, Compositio Mathematica 14, 23-40. | EuDML | Numdam | Zbl
1959Polish Logic 1920-1939, Oxford : Clarendon Press.
(ed.) 1967Les antinomies de Russell et de Burali-Forti et le problème fondamental de la théorie des ensembles, L'Enseignement Mathématique 19, 37-52. | JFM
1917A Refutation of an Unjustified Attack on the Axiom of Reducibility, in [Roberts 1979].
1979Introductory note to 1944, in [Gödel 1986-??, vol. II].
1990Les mathématiques et la logique, Revue de Métaphysique et de Morale 13 (1905), 815-835; 14 (1906), 17-34, 294-317 (abridged and modified version in [Poincaré 1908]). | JFM
1905-06Science et Méthode, Paris : Flammarion.
1908Set Theory and its Logic, Cambridge, Mass : Harvard University Press (2nd ed. 1969). | Zbl
1963The Foundations of Mathematics, Proceedings of the London Mathematical Society, series 2, 25 (1926), 338-384 (paper read before the London Mathematical Society in 1925; reprinted in [Ramsey 1978]). | JFM
1925Foundations Essays in Philosophy, Logic, Mathematics and Economics (ed. by D. H. Mellor), London and Henley : Routledge and Kegan Paul.
1978Bertrand Russell, Memorial Volume, London : G. Allen and Unwin.
(ed.) 1979Russell et le cercle des paradoxes, Paris : P.U.F.
1996The Regressive Method of Discovering the Premisses of Mathematics, published in [Russell 1973].
1907Mathematical Logic as Based on the Theory of Types, American Journal of Mathematics 30, 222-262 (reprinted. in [Russell 1956]). | JFM
19081910 Cf. [Whitehead and Russell 1910-27, vol. I, lst ed].
Logic and Knowledge Essays 1901-1950 (ed. by R. C. Marsh), London : G. Allen and Unwin. | Zbl
1956Essays in Analysis (ed. by D. Lackey), London : G. Allen and Unwin.
1973Beweistheorie, Berlin : Springer. | Zbl
1960Letter to Russell of September 5, 1913, in [Wittgentein 1961, 2nd ed., 123].
1913aLetter to Russell of the end of 1913, in [Wittgentein 1961, 2nd ed., 127-129].
1913bNotebooks 1914-1916 (ed. by G. H. von Wright and G. E. M. Anscombe, with an english trans. by G. E. M. Anscombe), Oxford : B. Blackwell (2nd ed. 1979).
1961Culture and Value (ed. by G. H. von Wright, trans. by P. Winch), Oxford : B. Blackwell.
1977Untersuchungen über die Grundlagen der Mengenlehre, I, Mathematische Annalen 59, 261-281. | EuDML | JFM
1908Ueber Grenzzahlen und Mengenbereiche Neue Untersuchungen über die Grundlagen der Mengenlehre, Fundamenta Mathematicae 16, 29-47. | EuDML | JFM
1930