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Logic and Modern Philosophy of Mathematics - Bibliography

Science EncyclopediaScience & Philosophy: Linear expansivity to Macrocosm and microcosmLogic and Modern Philosophy of Mathematics - The Revival Of Logic From The 1820s, And Its Algebraic Flourishing, Set Theory And The Rise Of Mathematical Logic


Abramsky, S., Dov Gabbay, and T. S. E. Maibaum, eds. Handbook of Logic in Computer Science. 5 vols. Oxford and New York: Oxford University Press, 1992–2000.

Aspray, William, and Philip Kitcher, eds. History and Philosophy of Modern Mathematics. Minneapolis: University of Minnesota Press, 1988.

Barwise, Jon, ed. Handbook of Mathematical Logic. Amsterdam and New York: North-Holland, 1977.

Benacerraf, Paul, and Hilary Putnam, eds. Philosophy of Mathematics: Selected Readings. 2nd. ed., Cambridge, U.K., and New York: Cambridge University Press, 1983.

Fraenkel, Abraham. Abstract Set Theory. Amsterdam: North-Holland, 1953. Outstanding bibliography.

Gabbay, Dov, and F. Guenthner, eds . Handbook of Philosophical Logic. 1st ed. 4 vols. Dordrecht and Boston: Reidel, 1983–1987. 2nd ed., much expanded, in progress. Dordrecht: Kluwer, 2000–.

Grattan-Guinness, Ivor. The Search for Mathematical Roots, 1870–1940: Logics, Set Theories, and the Foundations of Mathematics from Cantor through Russell to Gödel. Princeton: Princeton University Press, 2000.

Grattan-Guinness, Ivor, ed. Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences. 2 vols. London: Routledge, 1994. Reprint, Baltimore: Johns Hopkins University Press, 2003. See especially Part 6.

Haack, Susan. Philosophy of Logics. Cambridge, U.K.: Cambridge University Press, 1978.

Jacquette, Dale, ed. Philosophy of Mathematics: An Anthology. Oxford and Malden, Mass.: Blackwell, 2002.

Kitcher, Philip. The Nature of Mathematical Knowledge. New York: Oxford University Press, 1983.

Kneale, William, and Martha Kneale. The Development of Logic. Oxford: Clarendon, 1962.

Krüger, Lorenz et al., eds. The Probabilistic Revolution. 2 vols. Cambridge, Mass.: MIT Press, 1987.

Priest, Graham. Beyond the Limits of Thought. Cambridge, U.K.: Cambridge University Press, 1995.

Shapiro, Stewart, ed. The Limits of Logic. Aldershot, U.K.: Dartmouth, 1996. Source book, mainly oriented around model theory and higher-order logics.

van Heijenoort, Jean, ed. From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931. Cambridge, Mass.: Harvard University Press, 1967.

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