Skip to main content Accessibility help
×
Hostname: page-component-77c89778f8-vpsfw Total loading time: 0 Render date: 2024-07-20T14:21:53.848Z Has data issue: false hasContentIssue false

Bibliography

Published online by Cambridge University Press:  05 August 2014

Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
The Logic of Infinity , pp. 429 - 461
Publisher: Cambridge University Press
Print publication year: 2014

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Abel, N. H.Oeuvres Completes.Imprimerie de Groundhal & Son, 1881.Google Scholar
[2] Aczel, P.Non-Well-Founded Sets. Stanford University Center for the Study of Language and Information Lecture Notes no. 14, 1988.Google Scholar
[3] Annas, J.Aristotle's Metaphysics: Books M and N.Clarendon Press, 1976.Google Scholar
[4] Archimedes. The Works of Archimedes.Rough Draft Printing, 2007. (First edition 1897.)
[5] Aristotle, . Metaphysics: Books Г, δ and E. Translated with notes by C. Kirwan. Clarendon Press, 1971.Google Scholar
[6] Aristotle, . The Complete Works of Aristotle.Barnes, J. (ed.) Princeton University Press, 1984.Google Scholar
[7] Bacon, R.The Opus Majus of Roger Bacon. Translated by R. B. Burke. Two Volumes. Kessinger Publishing, 2002.Google Scholar
[8] Balaguer, M.Platonism and Anti-Platonism in Mathematics. Oxford University Press, 1998.Google Scholar
[9] Bar-Hillel, Y., Poznanski, E. I. J., Rabin, M. O. and Robinson, A.Essays on the Foundations of Mathematics: dedicated to A. A. Fraenkel on his seventieth anniversary.Magnes Press, Hebrew University, 1966. (Original edition 1962.)Google Scholar
[10] Bartoszynski, T. and Judah, H.Set Theory. On the Structure of the Real Line.A. K. Peters Ltd., 1995.Google Scholar
[11] Barwise, J. and Etchemendy, J.The Liar: an essay on truth and circularity.Oxford University Press, 1987.Google Scholar
[12] Bekkali, M.Topics in Set Theory: Lebesgue measurability, large cardinals, forcing axioms, rho-functions. Vol. 1476 of Lecture Notes in Mathematics. Springer, 1991.CrossRefGoogle Scholar
[13] Bell, E.T.The Queen of the Sciences.The Williams & Wilkins Company, 1931.Google Scholar
[14] Bell, E. T.The Development of Mathematics.Courier Dover Publications, 1945. (Original 1940.)Google Scholar
[15] Bell, J. L.Set Theory: Boolean-Valued Models and Independence Proofs in Set Theory.Clarendon Press, 2005. (Follow-up to the 1977 original.)CrossRefGoogle Scholar
[16] Benacerraf, P. and Putnam, H. (eds.) Philosophy of Mathematics: selected readings.Prentice Hall Inc., 1983. (First edition 1964.)Google Scholar
[17] Berkeley, G.The Analyst, or, A Discourse Addressed to an Infidel Mathematician.J. Tonson, 1734.Google Scholar
[18] Bernays, P.Axiomatic Set Theory, with an historical introduction by Abraham A. Fraenkel. Courier Dover Publications, 1991. (First edition 1958.)Google Scholar
[19] Bishop, E.Foundations of Constructive Analysis.McGraw-Hill, 1967.Google Scholar
[20] Black, M.The Nature of Mathematics. A Critical Survey. Routledge, 2001. (Original 1933.)Google Scholar
[21] Bolzano, B.Paradoxien des Unendlichen. Translated by Fr. Prihonsky with an historical introduction by D. A. Steele as ‘Paradoxes of the Infinite’. Routledge and Kegan Paul, 1950. (Original 1851.)Google Scholar
[22] Boole, G.An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities.Macmillan, 1854. Reprinted with corrections by Dover Publications, 1958.CrossRefGoogle Scholar
[23] Boolos, G.The Unprovability of Consistency: an essay in modal logic.Cambridge University Press, 1979.Google Scholar
[24] Boolos, G.The Logic of Provability.Cambridge University Press, 1995.Google Scholar
[25] Borges, J. L.Fictions. Translated with an afterword by Andrew Hurley. Penguin, 2000.Google Scholar
[26] Borges, J. L.Labyrinths. Translated by James E. Irby. New Directions, 2007.Google Scholar
[27] Borges, J.L.The Total Library: non-fiction 1922-1986. Edited by E., Weinberger; translated by Allen, E., S. J., Levine and E., Weinberger. Allen Lane, 2000.Google Scholar
[28] Bourbaki, N.Elements of Mathematics: Theory of Sets. Translated from the 1968 Theorie des Ensembles. Springer, 2004.CrossRefGoogle Scholar
[29] Cantor, G.Contributions to the Founding of the Theory of Transfinite Numbers. Translated and introduced by P.E.B., Jourdain. Open Court, 1915.Google Scholar
[30] Carniccio, E.Mathematics and Logic in History and in Contemporary Thought. Translated from the Italian by I., Quigly. Faber, 1964.Google Scholar
[31] Chang, C. C. and Keisler, H. J.Model Theory.North-Holland, 1990. (First edition 1973.)Google Scholar
[32] Changeux, J-.P. and Connes, A.Conversations on Mind, Matter, and Mathematics. Translated by M. B. DeBevoise. Princeton University Press, 1995.Google Scholar
[33] Ciesielski, K.Set Theory for the Working Mathematician. Cambridge University Press, 1997.CrossRefGoogle Scholar
[34] Cohen, P.Set Theory and the Continuum Hypothesis. W. A. Benjamin, 1966.Google Scholar
[35] Connes, A., Lichnerowicz, A. and Schiitzenberger, M. P.Triangle of Thoughts. Translated by J., Gage. American Mathematical Society, 2001.Google Scholar
[36] Conway, J. B.Functions of One Complex Variable.Springer, Graduate Texts in Mathematics 11, 1978.CrossRefGoogle Scholar
[37] J. H., ConwayOn Numbers and Games. A. K. Peters, 2001.Google Scholar
[38] Conway, J. H. and Smith, D. A.On Quaternions and Octonions.A. K. Peters, Ltd., 2003.Google Scholar
[39] Dales, H. G. and Oliveri, G. (eds.) Truth in Mathematics. Clarendon Press, 1998.
[40] Darwin, C. (Edited by F., Darwin) The Autobiography of Charles Darwin, and selected letters. Dover Press 1958. First published in 1892 as Charles Darwin, His Life Told in an Autobiographical Chapter and in a Selected Series ofhis Published Letters. (The source of the quote at the beginning of Section 1.14.)
[41] Dauben, J. W.Georg Cantor: His Mathematics and Philosophy of the Infinite.Harvard University Press, 1979.Google Scholar
[42] Davis, M. (ed.) The Undecidable: basic papers on undecidable propositions, unsolvable problems and computable functions.Raven Press, 1965.
[43] Dedekind, R.Was Sind und Was Sollen die Zahlen? (What are numbers and what should they be?) Revised, edited and translated by H., Pogorzelski, W., Ryan and W., Sinder. Research Institute for Mathematics, 1995. (Original 1888.)Google Scholar
[44] De Morgan, A.Formal Logic, or the Calculus of Inference, Necessary and Probable.Taylor and Walton, 1847.Google Scholar
[45] Dennett, D. C.Elbow Room: the varieties offree will worth wanting.Clarendon Press, 1984.Google Scholar
[46] Dennett, D. C.Consciousness Explained.The Penguin Press, 1992.Google Scholar
[47] Dennett, D. C.Darwin's Dangerous Idea.Penguin, 1995.Google Scholar
[48] Dennett, D. C.Freedom Evolves.Viking, 2003.Google Scholar
[49] Descartes, R.Discourse on Method. Translated by L. J., LaFleur. Macmillan, 1956. (Original French edition 1637.)Google Scholar
[50] Deutsch, D.The Fabric of Reality.Penguin Books, 1998.Google Scholar
[51] Devlin, K.Constructibility.Springer, 1984. The constructible universe and its properties.CrossRefGoogle Scholar
[52] Devlin, K.The Joy of Sets: Fundamentals of Contemporary Set Theory.Springer, 1993.CrossRefGoogle Scholar
[53] Dickman, M. A.Large Infinitary Languages: Model Theory.North-Holland Publishing Co., 1975.Google Scholar
[54] Dieudonné, J. A. E.Foundations of Modern Analysis. Academic Press, 1960.Google Scholar
[55] Dodd, A. J.The Core Model.Cambridge University Press, 1982.CrossRefGoogle Scholar
[56] Drake, F. R.Set Theory: an introduction to large cardinals.Elsevier Science Publishing Co. Inc., 1974.Google Scholar
[57] Drake, F. R. and Singh, D.Intermediate Set Theory.Wiley, 1996.Google Scholar
[58] Dummett, M.Frege: Philosophy of Mathematics.Duckworth, 1991.Google Scholar
[59] Ebbinghaus, H.-D., Hermes, H., Hirzebruch, F. et al. Numbers. Graduate Texts in Mathematics 123. Springer, 1990.Google Scholar
[60] Eddington, A. S.The Nature of the Physical World.Nabu Press, 2011. (Original 1928.)Google Scholar
[61] Edwards, H. M.Galois Theory. Graduate Texts in Mathematics 101. Springer, 1984.Google Scholar
[62] Einstein, A.Sidelights on Relativity.Kessinger Publishing, 2004. (Original 1922.)Google Scholar
[63] Einstein, A.Ideas and Opinions. Based on Mein Weltbild. Random House, 1997. (Original 1954.)Google Scholar
[64] Enderton, H. B.Elements of Set Theory.Academic Press, 1977.Google Scholar
[65] Euclid. Euclid's Elements: all thirteen books complete in one volume.Densmore, D. (ed.), T. L., Heath (translation). Green Lion Press, 2002.
[66] Ewald, W. B. (ed.) From Kant to Hilbert. A Source Book in the Foundations of Mathematics.Clarendon Press, 2000.
[67] Feferman, S.The Number Systems: foundations of algebra and analysis.Addison-Wesley, 1964.Google Scholar
[68] Ferreiros, J.Labyrinth of Thought: a history of set theory and its role in modern mathematics.Birkhiauser, 1999.CrossRefGoogle Scholar
[69] Fitting, M.Intuitionistic Logic, Model Theory and Forcing. North-Holland Publishing Co., 1969.Google Scholar
[70] Forster, T. E.Set Theory with a Universal Set: Exploring an Untyped Universe.Clarendon Press, 1995.Google Scholar
[71] Fraenkel, A.Abstract Set Theory.North-Holland Publishing Co., 1953.Google Scholar
[72] Fraenkel, A. A. (posthumously), Bar-Hillel, Y., Levy, A., van Dalen, D.Foundations of Set Theory.North-Holland Publishing Co., 1976. (First edition 1958.)Google Scholar
[73] Franzén, T.Godel's Theorem: an incomplete guide to its use and abuse.A. K. Peters, 2005.CrossRefGoogle Scholar
[74] Frege, F. L. G.The Foundations of Arithmetic: a logico-mathematical enquiry into the concept of number (Die Grundlagen der Arithmetick: eine logische mathematische Untersuchung uber den Begriff der Zahl).Blackwell, 1953.Google Scholar
[75] Galilei, G.The Assayer. Translation of Il Saggiatore by S. Drake and C. D. O'Malley in The Controversy on the Comets of 1618.University of Pennsylvania Press, 1960.Google Scholar
[76] Galilei, G.Dialogue Concerning the Two Chief World Systems. Translated by S. Drake. Foreword by Albert Einstein. University of California Press, 1967. (Original 1632.)Google Scholar
[77] Galilei, G.Two New Sciences.University of Wisconsin Press, 1974. S. Drake's translation of Discorsi e dimostrazioni matematiche, intorno a due nuove scienze, 1638.Google Scholar
[78] Garciadiego, A. R.Bertrand Russell and the Origins of the Set Theoretic ‘Paradoxes’.Birkhäuser, 1992.CrossRefGoogle Scholar
[79] Geach, P. and Black, M. (eds.) Translations from the Philosophical Writings of Gottlob Frege.Blackwell, 1952.
[80] George, A. (ed.) Mathematics and Mind.Oxford University Press, 1994.
[81] Giodel, K.The Consistency of the Continuum Hypothesis.Princeton University Press, 1940. (Published in 1968: notes by George Brown of Giodel s lectures 1938-1939.)Google Scholar
[82] Giodel, K.Collected Works.Solomon, Feferman, John W., Dawson, Warren, Goldfarb, Charles, Parsons and Wilfred, Sieg (eds.). Five volumes. Clarendon Press, 1986-2003.Google Scholar
[83] Godel, K.On Formally Undecidable Propositions of Principia Mathematica and Related Systems. Translated by B. Meltzer. Dover, 1992.Google Scholar
[84] Grattan-Guinness, I. (ed.) From the Calculus to Set Theory 1630-1910: An Introductory History.Duckworth, 1980.
[85] Gray, J.Henri Poincaré: A Scientific Biography.Princeton University Press, 2012.CrossRefGoogle Scholar
[86] Gruinbaum, A.Modern Science and Zeno's Paradoxes. Wesleyan University Press, 1967.Google Scholar
[87] Hadamard, J.An Essay on the Psychology of Invention in the Mathematical Field.Dover, 1954. (Original 1945.)Google Scholar
[88] Hajnal, A. and Hamburger, P.Set Theory.Cambridge University Press, 1999.CrossRefGoogle Scholar
[89] Hallett, M.Cantorian Set Theory and Limitation of Size. Clarendon Press, 1984.Google Scholar
[90] Halmos, P. R.Naive Set Theory.D. Van Nostrand Co., 1960.Google Scholar
[91] Halmos, P. R.A Hilbert Space Problem Book. Graduate Texts in Mathematics 19. Springer, 1982.CrossRefGoogle Scholar
[92] Hamilton, N. T. and Landin, J.Set Theory and the Structure of Arithmetic.Prentice-Hall International, 1962.Google Scholar
[93] Hardy, G. H.A Mathematician's Apology.Cambridge University Press, 1940.Google Scholar
[94] Hartshorne, C. and Weiss, P. (eds.) Collected Papers of Charles Sanders Peirce.Harvard University Press, 1932. Reprinted in two volumes in 1974.
[95] Hatcher, W. S.The Logical Foundations of Mathematics.Pergamon, 1981.Google Scholar
[96] Hausdorff, F.Set Theory. Translation of Mengenlehre. American Mathematical Soc., 1957. (Original 1937.)Google Scholar
[97] Henkin, L., Smith, W. N., Varineau, V. J. and Walsh, M. J.Retracing Elementary Mathematics.Macmillan Co., 1962.Google Scholar
[98] Henle, J. M.An Outline of Set Theory.Springer, 1986.CrossRefGoogle Scholar
[99] Heyting, A.Intuitionism. An Introduction.North-Holland Publishing Co., 1971.Google Scholar
[100] Hilbert, D.The Foundations of Geometry.Open Court Publishing Co. 10th revised edition, 1977. (Extended by Paul Bernays.)Google Scholar
[101] Hintikka, J.Language, Truth and Logic in Mathematics. Kluwer Academic, 1998.CrossRefGoogle Scholar
[102] Hodges, W.Model Theory.Cambridge University Press, 1993.CrossRefGoogle Scholar
[103] Hofstadter, D.Godel, Escher, Bach: an eternal golden braid. Harvester Press, 1979.Google Scholar
[104] Hrbacek, K. and Jech, T.Introduction to Set Theory.Marcel Dekker, 1999.Google Scholar
[105] Huxley, A.Themes and Variations.Books for Libraries Press, 1970. (Original 1950.)Google Scholar
[106] Jacquette, D.David Hume's Critique of Infinity. Brill's Studies in Intellectual History. Brill Academic Publishing, 2000.CrossRefGoogle Scholar
[107] Jech, T.The Axiom of Choice.North-Holland Publishing Company, 1973.Google Scholar
[108] Jech, T.Set Theory. The Third Millenium edition, revised and expanded. Monographs in Mathematics. Springer, 2003.Google Scholar
[109] Johnstone, P. T.NotesonLogic and Set Theory.Cambridge University Press, 1987.Google Scholar
[110] Jourdain, P. E. B.Selected Essays on the History of Set Theory and Logics (1906-1918). Ivor Grattan-Guinness (ed.). Editrice CLUEB, 1991.Google Scholar
[111] Just, W. and Weese, M.Discovering Modern Set Theory. American Mathematical Society, 1997.Google Scholar
[112] Kac, M. and Ulam, S. M.Mathematics and Logic: retrospect and prospects.Praeger, 1968.Google Scholar
[113] Kamke, E.Theory of Sets.Dover Publications, 1950.Google Scholar
[114] Kanamori, A.The Higher Infinite: Large cardinals in set theory from their beginnings.Springer, 1994.Google Scholar
[115] Kasner, E. and Newman, J.Mathematics and the Imagination. With diagrams by R. Isaacs. Penguin, 1979.Google Scholar
[116] Kaufmann, F.The Infinite in Mathematics: logicao-mathematical writings.Reidel, 1978. (Original edition 1930.)CrossRefGoogle Scholar
[117] Kaye, R.Models of Peano Arithmetic.Oxford University Press, 1991.Google Scholar
[118] Kechris, A. S.Classical Descriptive Set Theory.Springer, 1994.Google Scholar
[119] Keene, G. B.Abstract Sets and Finite Ordinals. An Introduction to the Study of Set Theory.Pergamon Press, 1961.Google Scholar
[120] Keisler, H. J.Model Theory for Infinitary Logic: logic with countable conjunctions and finite quantifiers.North-Holland Publishing Company, 1971.Google Scholar
[121] Kelley, J. L.General Topology.D. Van Nostrand Co., 1955.Google Scholar
[122] Kennedy, H. C.Peano. The life and work of Giuseppe Peano. Reidel, 1980.Google Scholar
[123] Kershner, R. B. and Wilcox, L. R.The Anatomy of Mathematics.Ronald Press, 1950.Google Scholar
[124] Khinchin, A. Ya. Continued Fractions.Dover Publications, 1997. (First Russian edition 1935.)Google Scholar
[125] Kleene, S. C.Introduction to Metamathematics.North-Holland Publishing Co., 1952.Google Scholar
[126] Kline, M.Mathematical Thought from Ancient to Modern Times.Oxford University Press, 1990. (Three volume paperback.)Google Scholar
[127] Kneebone, G. T.Mathematical Logic and the Foundations of Mathematics. An introductory survey.D. Van Nostrand Co., 1963.Google Scholar
[128] Knuth, D. E.Surreal Numbers.Addison-Wesley Professional, 1974.Google Scholar
[129] Kossak, R. and Schmerl, J. H.The Structure of Models of Peano Arithmetic.Oxford University Press, 2006.CrossRefGoogle Scholar
[130] Krivine, J.-L.Introduction to Axiomatic Set Theory. Translated from the French by David Miller. Reidel, 1968.Google Scholar
[131] Kunen, K.Set Theory: An Introduction to Independence Proofs.North-Holland, 1980.Google Scholar
[132] Kuratowski, K. and Mostowski, A.Set Theory. Translated from the Polish by M. Maczyński. North-Holland, 1968.Google Scholar
[133] Lakatos, I.Proofs and Refutations: The Logic of Mathematical Discovery.Cambridge University Press, 1976.CrossRefGoogle Scholar
[134] Landau, E.Foundations of Analysis. Second edition. Chelsea, 1960.Google Scholar
[135] Lavine, S.Understanding the Infinite.Harvard University Press, 1994.Google Scholar
[136] Lebesgue, H.Leęęons sur l'Integration et la Recherche des Fonctions Primitives.Gauthier-Villars, 1904.Google Scholar
[137] Leng, M.Mathematics and Reality.Oxford University Press, 2010.CrossRefGoogle Scholar
[138] Leng, M., Paseau, A. and Potter, M. D.Mathematical Knowledge.Oxford University Press, 2007.Google Scholar
[139] Levy, A.Basic Set Theory.Dover Publications, 2002.Google Scholar
[140] Machover, M.Set Theory, Logic and their Limitations.Cambridge University Press, 1996.Google Scholar
[141] Mackay, A. L.The Harvest of a Quiet Eye: a selection of scientific quotations.Institute of Physics, 1977.Google Scholar
[142] Mac Lane, S.Mathematics: Form and Function.Springer, 1986.CrossRefGoogle Scholar
[143] Mac Lane, S.Categories for the Working Mathematician. Graduate Texts in Mathematics 5. Springer, 1998.Google Scholar
[144] Maddy, P.Realism in Mathematics.Clarendon Press, 1990.Google Scholar
[145] Marker, D.Model Theory: an introduction, Graduate Texts in Mathematics 217. Springer, 2002.Google Scholar
[146] Martin, G.The Foundations of Geometry and the Non-Euclidean plane. Undergraduate Texts in Mathematics. Springer, 1998.Google Scholar
[147] Mayberry, J. P.The Foundations of Mathematics in the Theory of Sets.Cambridge University Press, 2000.Google Scholar
[148] Monk, J. D.Introduction to Set Theory.McGraw-Hill Book Co., 1969.Google Scholar
[149] Monk, J. D.Mathematical Logic. Graduate Texts in Mathematics 37. Springer, 1976.CrossRefGoogle Scholar
[150] Moore, A. W.The Infinite.Routledge, 1990.CrossRefGoogle Scholar
[151] Moore, E. H.Introduction to a Form of General Analysis. Yale University Press, 1910.CrossRefGoogle Scholar
[152] Moore, E. and Robin, R. (eds.) Studies in the Philosophy of Charles S. Peirce.University of Massachusetts Press, 1933.
[153] Moore, G. H.Zermelo's Axiom of Choice: Its origins, development and influence.Springer, 1982.CrossRefGoogle Scholar
[154] Moore, R. L.Foundations of Point Set Theory, American Mathematical Society Colloquium Publications vol. 13, 1970.Google Scholar
[155] Morse, A. P.A Theory of Sets.Academic Press, 1965.Google Scholar
[156] Moschovakis, Y.N.Descriptive Set Theory.North-Holland, 1980.Google Scholar
[157] Moschovakis, Y. N.Notes on Set Theory.Springer, 1994.CrossRefGoogle Scholar
[158] Mostowski, A.Sentences Undecidable in Formalized Arithmetic: An Exposition of the Theory of Kurt Godel.North-Holland Publishing Co., 1952.Google Scholar
[159] Nagel, E. and Newman, J. R.Gödel's Proof. Routledge and Kegan Paul, 1959.Google Scholar
[160] Needham, T.Visual Complex Analysis.Oxford University Press, 1997.Google Scholar
[161] Oxtoby, J.Measure and Category. Graduate Texts in Mathematics 2. Springer, 1971.CrossRefGoogle Scholar
[162] Painleve, P.Analyse des Travaux Scientifiques.Gauthier-Villars, 1900.Google Scholar
[163] Parsons, C.Mathematics in Philosophy: Selected Essays. Cornell University Press, 1983.Google Scholar
[164] Penrose, R.The Road to Reality: a complete guide to the laws of the universe.Jonathan Cape, 2004.Google Scholar
[165] Pinter, C.C.Set Theory.Addison-Wesley, 1971. An introduction to set theory.Google Scholar
[166] ePoincaré, J. H.Science and Hypothesis.Cosimo, Inc., 2007. (Original 1901.)Google Scholar
[167] Poincaré, J. H.Science and Method. English translation by Francis Maitland. Dover, 1914. (Original French edition 1908.)Google Scholar
[168] Potter, M.Reason's Nearest Kin: philosophies of arithmetic from Kant to Carnap.Oxford University Press, 2000.Google Scholar
[169] Potter, M.Sets: an introduction.Clarendon Press, 1990.Google Scholar
[170] Potter, M.Set Theory and its Philosophy: a critical introduction.Oxford University Press, 2004.CrossRefGoogle Scholar
[171] Quine, W. V.O.Mathematical Logic.Norton, 1940.Google Scholar
[172] Quine, W. V. O.From a Logical Point of View: 9 logico-philosophical essays.Harvard University Press, 1953 (fourth printing 2003).Google Scholar
[173] Quine, W. V. O.Set Theory and its Logic.Belknap Press, 1969. The elements of logic; transfiniteness; and axiom systems.Google Scholar
[174] Quine, W. V. O.Philosophy of Logic.Prentice-Hall, 1970.Google Scholar
[175] Quine, W. V. O.Quiddities: An intermittently philosophical dictionary.Harvard University Press, 1987.Google Scholar
[176] Robinson, A.Non-Standard Analysis.North-Holland, 1966.Google Scholar
[177] Roitman, J.Introduction to Modern Set Theory.Wiley, 1990.Google Scholar
[178] Rota, G.-C.Indiscrete Thoughts.Birkhäuser, 1997.CrossRefGoogle Scholar
[179] Rubin, H. and Rubin, J.Equivalents of the Axiom of Choice.North-Holland, 1985.Google Scholar
[180] Rucker, R. v. B.Infinity and the Mind: the science and philosophy of the infinite.Birkhauser, 1982.Google Scholar
[181] Russell, B.The Principles of Mathematics.Cambridge University Press, 1903.Google Scholar
[182] Russell, B.Mysticism and Logic, and Other Essays.Longmans, Green and Company, 1918.Google Scholar
[183] Russell, B.The Philosophy of Logical Atomism.Open Court, 1998. (Original 1918.)Google Scholar
[184] Russell, B.Introduction to Mathematical Philosophy.Allen & Un-win, 1919.Google Scholar
[185] Russell, B.ABC of Relativity.Taylor & Francis, 2009. (Original 1925.)Google Scholar
[186] Russell, B.Sceptical Essays.Routledge, 2004. (Original 1928.)Google Scholar
[187] Russell, B.Unpopular Essays.Routledge, 1996. (Original 1950.)Google Scholar
[188] Russell, B.The Impact of Science on Society.Routledge, 1985. (Original 1952.)Google Scholar
[189] Russell, B.The Autobiography of Bertrand Russell.George Allen and Unwin Ltd, 1967.Google Scholar
[190] Sainsbury, R. M.Paradoxes.Cambridge University Press, 1995.CrossRefGoogle Scholar
[191] Salmon, W. C. (ed.) Zeno's Paradoxes.Hackett Publishing Company, 2001.Google Scholar
[192] Shapiro, S.Foundations without Foundationalism: a case for second-order logic. Oxford Logic Guides 17. Clarendon Press, 1991.Google Scholar
[193] Shelah, S.Cardinal Arithmetic.Clarendon Press, 1994.Google Scholar
[194] Shen, A. and Vereshchagin, N. K.Basic Set Theory. American Mathematical Society, 2002.CrossRefGoogle Scholar
[195] Sierpiński, W.Cardinal and Ordinal Numbers. Monografie Matematyczne, vol. 34. Państwowe Wydawnictwo Naukowe, 1958.Google Scholar
[196] Smith, P.An Introduction to Godel's Theorems. Cambridge introductions to philosophy. Cambridge University Press, 2008.Google Scholar
[197] Smith, D. E.A Source Book in Mathematics.Courier Dover Publications, 1959.Google Scholar
[198] Smullyan, R. M.Godel's Incompleteness Theorems.Oxford University Press, 1992.Google Scholar
[199] Smullyan, R. M.First-order Logic.Dover, 1995.Google Scholar
[200] Smullyan, R. M. and Fitting, M.Set Theory and the Continuum Problem.Clarendon Press, 1996.Google Scholar
[201] Steinmetz, C. P.Four Lectures on Relativity and Space.Kessinger Publishing, 2005. (Original 1923.)Google Scholar
[202] Stewart, I.Letters to a Young Mathematician.Basic Books, 2007.Google Scholar
[203] Stillwell, J.Roads to Infinity: The mathematics of truth and proof.A. K. Peters, 2010.CrossRefGoogle Scholar
[204] Stoll, R. R.Set Theory and Logic.Freeman, 1963.Google Scholar
[205] Sullivan, J. W. N.The Limitations of Science.The Viking Press, 1933.Google Scholar
[206] Suppes, P.Axiomatic Set Theory.Dover, 1972.Google Scholar
[207] Takeuti, G. and Zaring, W. M.Introduction to Axiomatic Set Theory. Graduate Texts in Mathematics 1. Springer, 1971.CrossRefGoogle Scholar
[208] Takeuti, G. and Zaring, W. M.Axiomatic Set Theory. Graduate Texts in Mathematics 8. Springer, 1973.CrossRefGoogle Scholar
[209] Tarski, A., Mostowski, A. and Robinson, R. M.Undecidable Theories.North-Holland Publishing Co., 1953.Google Scholar
[210] Tarski, A.Ordinal Algebras.North-Holland Publishing Co., 1956.Google Scholar
[211] Tarski, A.The Collected Papers of Alfred Tarski.Givant, S. R. and McKenzie, R. N. (eds.). Four volumes. Birkhoauser, 1986.Google Scholar
[212] Tiles, M.The Philosophy of Set Theory: an historical introduction to Cantor's paradise.Basil Blackwell, 1989.Google Scholar
[213] Titchmarsh, E. C.Mathematics for the General Reader. Hutchinson's University Library, 1948.Google Scholar
[214] Tourlakis, G.Lectures in Logic and Set Theory. Volume 1. Mathematical Logic.Cambridge University Press, 2003.Google Scholar
[215] Tourlakis, G.Lectures in Logic and Set Theory. Volume 2. Set Theory.Cambridge University Press, 2003.Google Scholar
[216] Truss, J. K.Foundations of Mathematical Analysis.Clarendon Press, 1997.Google Scholar
[217] Ulam, S. M.Adventures of a Mathematician.Charles Scribners Sons, 1976.Google Scholar
[218] van Dalen, Dirk. L. E. J. Brouwer – Topologist, Intuitionist, Philosopher: how mathematics is rooted in life.Springer, 2012.Google Scholar
[219] van Heijenoort, J. (ed.) From Frege to Godel: a source book in mathematical logic, 1879-1931.Harvard University Press, 1967.Google Scholar
[220] Vaught, R. L.Set Theory. An Introduction.Birkhoauser, 1985.Google Scholar
[221] von Neumann, J.Collected Works. Six Volumes. Pergamon Press, 1961.Google Scholar
[222] Wagon, S.The Banach-Tarski Paradox.Cambridge University Press, 1985.CrossRefGoogle Scholar
[223] Wang, H.From Mathematics to Philosophy.Routledge & Kegan Paul, 1974.Google Scholar
[224] Weyl, H.Philosophy of Mathematics and Natural Science.Princeton University Press, 1949.Google Scholar
[225] Whitehead, A. N. and Russell, B.Principia Mathematica. Second Edition. Cambridge University Press, Vol I (1925), Vol II (1927), Vol III (1927).Google Scholar
[226] Whitehead, A. N.Dialogues of Alfred North Whitehead (recorded by Lucien Price). David R. Godine Publisher, 2001. (Original 1954.)Google Scholar
[227] Wilder, R. L.Introduction to the Foundations of Mathematics.John Wiley & Sons, 1952.Google Scholar
[228] Wittgenstein, L.Lectures on the Foundations of Mathematics. Cambridge 1939: from the notes of R. G., Bosanquet, N., Malcolm, R., Rhees and Y., Smythies. C., Diamond (ed.) Harvester Press, 1976.Google Scholar
[229] Wittgenstein, L.Remarks on the Foundations of Mathematics.G. H., von Wright, R., Rhees, G. E. M., Anscombe, (ed.) Translated from the German by G. E. M. Anscombe. Blackwell, 1978.Google Scholar
[230] Wright, C.Wittgenstein on the Foundations of Mathematics.Duckworth, 1980.Google Scholar
[231] Wright, C.Frege's Conception of Numbers as Objects.Aberdeen University Press, 1983.Google Scholar
[232] Yandell, B.The Honors Class: Hilbert's problems and their solvers.A.K. Peters, 2001.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Bibliography
  • Barnaby Sheppard
  • Book: The Logic of Infinity
  • Online publication: 05 August 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9781107415614.017
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Bibliography
  • Barnaby Sheppard
  • Book: The Logic of Infinity
  • Online publication: 05 August 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9781107415614.017
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Bibliography
  • Barnaby Sheppard
  • Book: The Logic of Infinity
  • Online publication: 05 August 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9781107415614.017
Available formats
×