Linked bibliography for the SEP article "Platonism in Metaphysics" by Mark Balaguer

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Adams, Robert Merrihew, 1974, “Theories of Actuality”, Noûs, 8(3): 211–231. doi:10.2307/2214751 (Scholar)
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Armstrong, David M., 1978, A Theory of Universals: Universals and Scientific Realism (Volume 2), Cambridge/New York: Cambridge University Press. (Scholar)
Ayer, A. J., 1936, Language, Truth and Logic, London: V. Gollancz; second edition, 1946. (Scholar)
Azzouni, Jody, 1994, Metaphysical Myths, Mathematical Practice: The Ontology and Epistemology of the Exact Sciences, Cambridge/New York: Cambridge University Press. doi:10.1017/cbo9780511551291 (Scholar)
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Bacon, Andrew, 2024, “A Case for Higher-Order Metaphysics”, in Fritz and Jones 2024a: 47–72 (ch. 2). doi:10.1093/oso/9780192894885.003.0002 (Scholar)
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–––, 2009, “Mathematical Explanation in Science”, The British Journal for the Philosophy of Science, 60(3): 611–633. doi:10.1093/bjps/axp025 (Scholar)
Balaguer, Mark, 1995, “A Platonist Epistemology”, Synthese, 103(3): 303–325. doi:10.1007/bf01089731 (Scholar)
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–––, 2021, Metaphysics, Sophistry, and Illusion: Toward a Widespread Non-Factualism, Oxford: Oxford University Press. doi:10.1093/oso/9780198868361.001.0001 (Scholar)
Bangu, Sorin Ioan, 2008, “Inference to the Best Explanation and Mathematical Realism”, Synthese, 160(1): 13–20. doi:10.1007/s11229-006-9070-8 (Scholar)
Baron, Sam, 2020, “Purely Physical Explananda: Bistability in Perception”, in Falguera and Martínez-Vidal 2020: 17–34. doi:10.1007/978-3-030-38242-1_2 (Scholar)
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Benacerraf, Paul, 1965, “What Numbers Could Not Be”, The Philosophical Review, 74(1): 47–73. doi:10.2307/2653723 (Scholar)
–––, 1973, “Mathematical Truth”, The Journal of Philosophy, 70(19): 661–679. doi:10.2307/2183530 (Scholar)
Benacerraf, Paul and Hilary Putnam (eds.), 1983, Philosophy of Mathematics: Selected Readings, second edition, Cambridge: Cambridge University Press. doi:10.1017/CBO9781139171519
Bengson, John, 2015, “Grasping the Third Realm”, in Oxford Studies in Epistemology (Volume 5), Tamar Szabó Gendler and John Hawthorne (eds.), Oxford: Oxford University Press, 1–38 (ch. 1). doi:10.1093/acprof:oso/9780198722762.003.0001 (Scholar)
Berry, Sharon E., 2020, “Coincidence Avoidance and Formulating the Access Problem”, Canadian Journal of Philosophy, 50(6): 687–701. doi:10.1017/can.2020.15 (Scholar)
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Boolos, George, 1987, “Saving Frege from Contradiction”, Proceedings of the Aristotelian Society, 87: 137–152. doi:10.1093/aristotelian/87.1.137 (Scholar)
Boyce, Kenneth, 2021, “Why Inference to the Best Explanation Doesn’t Secure Empirical Grounds for Mathematical Platonism”, Synthese, 198(1): 583–595. doi:10.1007/s11229-018-02043-2 (Scholar)
–––, 2020, “Mathematical Surrealism as an Alternative to Easy-Road Fictionalism”, Philosophical Studies, 177(10): 2815–2835. doi:10.1007/s11098-019-01340-x (Scholar)
Braun, David, 1998, “Understanding Belief Reports”, The Philosophical Review, 107(4): 555–595. doi:10.2307/2998375 (Scholar)
Brock, Stuart, 2002, “Fictionalism about Fictional Characters”, Noûs, 36(1): 1–21. doi:10.1111/1468-0068.00358 (Scholar)
Brouwer, L. E. J., 1913, “Intuitionism and Formalism”, Arnold Dresden (trans.), Bulletin of the American Mathematical Society, 20(2): 81–96. Reprinted in Benacerraf and Putnam 1983: 77–89. doi:10.1090/s0002-9904-1913-02440-6 doi:10.1017/CBO9781139171519.005 (Scholar)
–––, 1949, “Consciousness, Philosophy, and Mathematics”:, in Proceedings of the Tenth International Congress of Philosophy (Amsterdam, August 11–18, 1948), Amsterdam: North-Holland Publishing Company, 2:1235–1249. Reprinted in Benacerraf and Putnam 1983: 90–96. doi:10.5840/wcp1019492349 doi:10.1017/CBO9781139171519.006 (Scholar)
Button, Tim and Robert Trueman, 2024, “A Fictionalist Theory of Universals”, in Fritz and Jones 2024a: 245–290 (ch. 7). doi:10.1093/oso/9780192894885.003.0007 (Scholar)
Bueno, Otávio, 2003, “Is It Possible to Nominalize Quantum Mechanics?”, Philosophy of Science, 70(5): 1424–1436. doi:10.1086/377419 (Scholar)
–––, 2005, “Dirac and the Dispensability of Mathematics”, Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 36(3): 465–490. doi:10.1016/j.shpsb.2005.03.002 (Scholar)
–––, 2009, “Mathematical Fictionalism”, in New Waves in Philosophy of Mathematics, Otávio Bueno and Øystein Linnebo (eds.), London: Palgrave Macmillan UK, 59–79. doi:10.1057/9780230245198_4 (Scholar)
Builes, David, 2022, “Ontology and Arbitrariness”, Australasian Journal of Philosophy, 100(3): 485–495. doi:10.1080/00048402.2021.1931377 (Scholar)
Burgess, John P., 1983, “Why I Am Not a Nominalist”, Notre Dame Journal of Formal Logic, 24(1): 93–105. doi:10.1305/ndjfl/1093870223 (Scholar)
–––, 1990, “Epistemology & Nominalism”, in Physicalism in Mathematics, A. D. Irvine (ed.), Dordrecht: Kluwer, 1–15. doi:10.1007/978-94-009-1902-0_1 (Scholar)
–––, 2004, “Mathematics and Bleak House”, Philosophia Mathematica, 12(1): 18–36. doi:10.1093/philmat/12.1.18 (Scholar)
Burgess, John P. and Gideon A. Rosen, 1997, A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics, Oxford: Clarendon Press. doi:10.1093/0198250126.001.0001 (Scholar)
Campbell, Keith, 1990, Abstract Particulars (Philosophical Theory), Oxford/Cambridge, MA: Basil Blackwell. (Scholar)
Carnap, Rudolf, 1934 [1937], Logische Syntax der Sprache (Schriften zur wissenschaftlichen Weltauffassung), Wien: J. Springer. Translated as The Logical Syntax of Language (International Library of Psychology, Philosophy and Scientific Method), Amethe Smeaton (trans.), London: Routledge & K. Paul, 1937. (Scholar)
–––, 1947, Meaning and Necessity: A Study in Semantics and Modal Logic, Chicago, IL: University of Chicago Press. (Scholar)
–––, 1950/1956, “Empiricism, Semantics, and Ontology”, Revue Internationale de Philosophie, 4(11): 20–40. Slightly modified version in his Meaning and Necessity, second edition, Chicago: University of Chicago Press, 1956, 205–221. Reprinted in Benacerraf and Putnam 1983: 241–257. doi:10.1017/cbo9781139171519.013 (Scholar)
Carson, Emily, 1996, “On Realism in Set Theory”, Philosophia Mathematica, 4(1): 3–17. doi:10.1093/philmat/4.1.3 (Scholar)
Chihara, Charles S., 1990, Constructibility and Mathematical Existence, Oxford: Clarendon Press. doi:10.1093/0198239750.001.0001 (Scholar)
–––, 2004, A Structural Account of Mathematics, Oxford: Clarendon. doi:10.1093/oso/9780199267538.001.0001 (Scholar)
Chisholm, Roderick M., 1976, Person and Object: A Metaphysical Study (Muirhead Library of Philosophy), London: G. Allen & Unwin. doi:10.4324/9781315830223 (Scholar)
Chomsky, Noam, 1965, Aspects of the Theory of Syntax (Massachusetts Institute of Technology. Research Laboratory of Electronics. Special Technical Report 11), Cambridge, MA: MIT Press. (Scholar)
Church, Alonzo, 1950, “On Carnap’s Analysis of Statements of Assertion and Belief”, Analysis, 10(5): 97–99. doi:10.1093/analys/10.5.97 (Scholar)
–––, 1954, “Intensional Isomorphism and Identity of Belief”, Philosophical Studies, 5: 65–73. doi:10.1007/bf02221771 (Scholar)
Clarke-Doane, Justin, 2016, “What Is the Benacerraf Problem?”, in Truth, Objects, Infinity: New Perspectives on the Philosophy of Paul Benacerraf (Logic, Epistemology, and the Unity of Science 28), Fabrice Pataut (ed.), Cham: Springer International Publishing, 17–43. doi:10.1007/978-3-319-45980-6_2 (Scholar)
–––, 2020a, Morality and Mathematics, Oxford: Oxford University Press. doi:10.1093/oso/9780198823667.001.0001 (Scholar)
–––, 2020b, “Set-Theoretic Pluralism and the Benacerraf Problem”, Philosophical Studies, 177(7): 2013–2030. doi:10.1007/s11098-019-01296-y (Scholar)
Cole, Julian C., 2009, “Creativity, Freedom, and Authority: A New Perspective On the Metaphysics of Mathematics”, Australasian Journal of Philosophy, 87(4): 589–608. doi:10.1080/00048400802598629 (Scholar)
Collard, Benjamin, 2005, “The Conceivability of Platonism”, Philosophia Mathematica, 15(3): 347–356. (Scholar)
Colyvan, Mark, 2001, The Indispensability of Mathematics, New York: Oxford University Press. doi:10.1093/019513754x.001.0001 (Scholar)
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Cowling, Sam, 2017, Abstract Entities (New Problems of Philosophy), Abingdon/New York: Routledge. doi:10.4324/9781315266619 (Scholar)
Crimmins, Mark, 1998, “Hesperus and Phosphorus: Sense, Pretense, and Reference”, The Philosophical Review, 107(1): 1–47. doi:10.2307/2998314 (Scholar)
Crimmins, Mark and John Perry, 1989, “The Prince and the Phone Booth: Reporting Puzzling Beliefs”, The Journal of Philosophy, 86(12): 685–711. doi:10.2307/2027014 (Scholar)
Curry, Haskell B., 1951, Outlines of a Formalist Philosophy of Mathematics (Studies in Logic and the Foundations of Mathematics), Amsterdam: North-Holland. (Scholar)
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Daly, Chris and Simon Langford, 2009, “Mathematical Explanation and Indispensability Arguments”, The Philosophical Quarterly, 59(237): 641–658. doi:10.1111/j.1467-9213.2008.601.x (Scholar)
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Devitt, Michael, 1980, “‘Ostrich Nominalism’ or ‘Mirage Realism’?”, Pacific Philosophical Quarterly, 61(4): 433–439. Reprinted in Devitt 2010b: 13–20 (ch. 1). doi:10.1111/j.1468-0114.1980.tb00031.x doi:10.1093/acprof:oso/9780199280803.003.0002 (Scholar)
–––, 2010a, Postscript to “‘Ostrich Nominalism’ or ‘Mirage Realism’?”, in Devitt 2010b: 20–30. doi:10.1093/acprof:oso/9780199280803.003.0002 (Scholar)
–––, 2010b, Putting Metaphysics First: Essays on Metaphysics and Epistemology, Oxford/New York: Oxford University Press. doi:10.1093/acprof:oso/9780199280803.001.0001
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Falguera, José L. and Concha Martínez-Vidal (eds.), 2020, Abstract Objects: For and Against (Synthese Library 422), Cham: Springer. doi:10.1007/978-3-030-38242-1
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