Linked bibliography for the SEP article "Platonism in Metaphysics" by Mark Balaguer
This is an automatically generated and experimental page
If everything goes well, this page should display the bibliography of the aforementioned article as it appears in the Stanford Encyclopedia of Philosophy, but with links added to PhilPapers records and Google Scholar for your convenience. Some bibliographies are not going to be represented correctly or fully up to date. In general, bibliographies of recent works are going to be much better linked than bibliographies of primary literature and older works. Entries with PhilPapers records have links on their titles. A green link indicates that the item is available online at least partially.
This experiment has been authorized by the editors of the Stanford Encyclopedia of Philosophy. The original article and bibliography can be found here.
- Adams, Robert Merrihew, 1974, “Theories of Actuality”, Noûs, 8(3): 211–231. doi:10.2307/2214751 (Scholar)
- Anderson, David J. and Edward N. Zalta, 2004, “Frege, Boolos, and Logical Objects”, Journal of Philosophical Logic, 33(1): 1–26. doi:10.1023/b:logi.0000019236.64896.fd (Scholar)
- 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)
- –––, 2004, Deflating Existential
Consequence: A Case for Nominalism, New York: Oxford University
Press. doi:10.1093/0195159888.001.0001 (Scholar)
- 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)
- Baker, Alan, 2005, “Are There Genuine Mathematical Explanations of Physical Phenomena?”, Mind, 114(454): 223–238. doi:10.1093/mind/fzi223 (Scholar)
- –––, 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)
- –––, 1998a, Platonism and Anti-Platonism in
Mathematics, New York: Oxford University Press.
doi:10.1093/oso/9780195122305.001.0001 (Scholar)
- –––, 1998b, “Attitudes without Propositions”, Philosophy and Phenomenological Research, 58(4): 805–826. doi:10.2307/2653723">10.2307/2653723 (Scholar)
- –––, 2009, “Fictionalism, Theft, and the Story of Mathematics”, Philosophia Mathematica, 17(2): 131–162. doi:10.1093/philmat/nkn019 (Scholar)
- –––, 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)
- Barwise, Jon and John Perry, 1983, Situations and Attitudes, Cambridge, MA: The MIT Press. (Scholar)
- Bealer, George, 1982, Quality and Concept, Oxford:
Clarendon Press. doi:10.1093/acprof:oso/9780198244288.001.0001 (Scholar)
- –––, 1993, “Universals”, Journal of Philosophy, 90(1): 5–32. doi:10.2307/2940824 (Scholar)
- 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)
- –––, forthcoming, “Mathematical Access
Worries and Accounting for Knowledge of Logical Coherence”,
forthcoming in Journal of Philosophy. (Scholar)
- Bloomfield, Leonard, 1933, Language, New York: Henry Holt and Company. (Scholar)
- 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)
- –––, 2002, “Mathematics and Aesthetic Considerations in Science”, Mind, 111(441): 69–74. doi:10.1093/mind/111.441.69 (Scholar)
- 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)
- Daly, Chris John, 2008, “Fictionalism and the Attitudes”, Philosophical Studies, 139(3): 423–440. doi:10.1007/s11098-007-9132-x (Scholar)
- 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)
- Davidson, Donald, 1967, “Truth and Meaning”, Synthese, 17(1): 304–323. doi:10.1007/bf00485035 (Scholar)
- De Cruz, Helen, 2016, “Numerical Cognition and Mathematical Realism”, Philosopher’s Imprint, 16: article 16. [De Cruz 2016 available online] (Scholar)
- 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
- Dieterle, Jill and Stewart Shapiro, 1993, “Review of Realism in Mathematics, by Penelope Maddy”, Philosophy of Science, 60(4): 659–660. doi:10.1086/289766 (Scholar)
- Donaldson, Thomas Mark Eden, 2014, “If There Were No Numbers, What Would You Think?”, Thought: A Journal of Philosophy, 3(4): 283–287. doi:10.1002/tht3.143 (Scholar)
- Donnellan, Keith S., 1966, “Reference and Definite Descriptions”, The Philosophical Review, 75(3): 281–304. doi:10.2307/2183143 (Scholar)
- Dorr, Cian, 2008, “There Are No Abstract Objects” (Contemporary Debates in Philosophy 10), in Contemporary Debates in Metaphysics, Theodore Sider, John Hawthorne, and Dean W. Zimmerman (eds.), Malden, MA: Blackwell, 12–64 (ch. 1.2). (Scholar)
- –––, forthcoming, “Higher-Order Quantification and the Elimination of Abstract Objects”, Disputatio. (Scholar)
- Dodd, Julian, 2007, Works of Music: An Essay in Ontology, Oxford/New York: Oxford University Press. doi:10.1093/acprof:oso/9780199284375.001.0001 (Scholar)
- Evans, Gareth, 1981, “Understanding Demonstratives”, in Meaning and Understanding, Herman Parret and Jacques Bouveresse (eds.), Berlin/New York: Walter de Gruyter, 280–304. doi:10.1515/9783110839715.280 (Scholar)
- 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
- Field, Hartry H., 1980, Science without Numbers: A Defence of Nominalism, Princeton, NJ: Princeton University Press. (Scholar)
- –––, 1989, Realism, Mathematics, and Modality, Oxford/New York: Blackwell. (Scholar)
- –––, 1998, “Mathematical Objectivity and Mathematical Objects”, in Contemporary Readings in the Foundations of Metaphysics, Cynthia Macdonald and Stephen Laurence (eds.), Cambridge, MA: Blackwell Publishers, 387–403. (Scholar)
- Fodor, Jerry A., 1975, The Language of Thought, Cambridge, MA: Harvard University Press. (Scholar)
- –––, 1981, “Introduction: Some Notes on What Linguistics Is About”, in Readings in the Philosophy of Psychology (Volume II), Ned Block (ed.), Cambridge, MA: Harvard University Press, 197–207. doi:10.4159/harvard.9780674594722.c15 (Scholar)
- –––, 1987, Psychosemantics: The Problem of Meaning in the Philosophy of Mind (Explorations in Cognitive Science 2), Cambridge, MA: MIT Press. (Scholar)
- Forbes, Graeme, 1987, “Indexicals and Intensionality: A Fregean Perspective”, The Philosophical Review, 96(1): 3–31. doi:10.2307/2185328 (Scholar)
- Frege, Gottlob, 1884, Die Grundlagen der Arithmetik, Breslau: Verlage Wilhelm Koebner. Translated as The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number, J. L. Austin (trans.), Oxford: Basil Blackwell, 1950. (Scholar)
- –––, 1892, “Über Sinn und Bedeutung”, Zeitschrift für Philosophie und philosophische Kritik, 100: 25–50. Translated, 1949, as “On Sense and Nominatum”, in Readings in Philosophical Analysis (The Century Philosophy Series), Herbert Feigl and Wilfrid Sellars (eds.), Herbert Feigl (trans), New York: Appleton-Century-Crofts, 85–102. Reprinted, 1990, in The Philosophy of Language, A.P. Martinich (ed.), New York: Oxford University Press, 186–198. (Scholar)
- –––, 1893/1903, Grundgesetze der Arithmetik, Jena: Verlag Hermann Pohle, Band I/II. Partial translation of Volume 1 as The Basic Laws of Arithmetic, M. Furth (trans.), Berkeley, CA: University of California Press, 1964. (Scholar)
- –––, 1894, “Rezension von: E. Husserl,
Philosophie der Arithmetik I”, in Zeitschrift
für Philosophie und philosophische Kritik, 103, pp.
313–332. (Scholar)
- –––, 1918/19, “Der Gedanke. Eine logische Untersuchung”, Beiträge zur Philosophie des deutschen Idealismus, 1: 58–77. Translated, 1956, as “The Thought: A Logical Inquiry”, A. M. Quinton and Marcelle Quinton (trans.), Mind, 65(259): 289–311. Reprinted, 1968, in Essays on Frege, E.D. Klemke (ed.), Urbana, IL: University of Illinois Press, 507–35. doi:10.1093/mind/65.1.289 (Scholar)
- –––, 1980, Philosophical and Mathematical
Correspondence, Gottfried Gabriel (ed.), Chicago: University of
Chicago Press. (Scholar)
- Fritz, Peter and Nicholas K. Jones (eds.), 2024a,
Higher-Order Metaphysics, Oxford/New York: Oxford University
Press. doi:10.1093/oso/9780192894885.001.0001
- –––, 2024b, “Higher-Order Metaphysics: An
Introduction”, in
Fritz and Jones 2024a:
3–46 (ch. 1). doi:10.1093/oso/9780192894885.003.0001 (Scholar)
- Friedell, David, 2020, “Abstracta Are Causal”, Philosophia, 48(1): 133–142. doi:10.1007/s11406-019-00073-9 (Scholar)
- Gödel, Kurt, 1947, “What Is Cantor’s Continuum
Problem?”, The American Mathematical Monthly, 54(9):
515–525.
Benacerraf and Putnam 1983:
470–485. doi:10.1080/00029890.1947.11991877
doi:10.1017/CBO9781139171519.025 (Scholar)
- –––, 1951, “Some Basic Theorems on the
Foundations of Mathematics and Their Implications”. 25th Josiah
Willard Gibbs Lecture, Brown University, Rhode Island, 26 December
1951. Reprinted in his Collected Works (Volume III), Solomon
Feferman, John W. Dawson, Warren Goldfarb, Charles Parsons, and Robert
M. Solovay (eds.), New York/Oxford: Oxford University Press,
304–323. (Scholar)
- Goodman, Jeremy, 2024, “Higher-Order Logic as Metaphysics”, in Fritz and Jones 2024a: 73–106 (ch. 3). doi:10.1093/oso/9780192894885.003.0003 (Scholar)
- Hale, Bob, 1987, Abstract Objects (Philosophical Theory), Oxford/New York: Basil Blackwell. (Scholar)
- Hale, Bob and Crispin Wright, 2009, “The Metaontology of Abstraction”, in Metametaphysics: New Essays on the Foundations of Ontology, David Chalmers, David Manley, and Ryan Wasserman (eds.), Oxford/New York: Clarendon Press/Oxford University Press, 178–212 (ch. 6). doi:10.1093/oso/9780199546046.003.0006 (Scholar)
- Harris, Zellig S., 1954, “Distributional Structure”,
WORD, 10(2–3): 146–162.
doi:10.1080/00437956.1954.11659520 (Scholar)
- Heine, Eduard, 1872, ‘Die Elemente der
Functionenlehre,’ Journal für die reine und
angewandte Mathematik, 74: 172–188. (Scholar)
- Hellman, Geoffrey, 1989, Mathematics without Numbers: Towards
a Modal-Structural Interpretation, Oxford: Clarendon Press.
doi:10.1093/0198240341.001.0001 (Scholar)
- Hempel, Carl G., 1945, “On the Nature of Mathematical
Truth”, The American Mathematical Monthly, 52(10):
543–556. Reprinted in
Benacerraf and Putnam 1983:
377–393. doi:10.2307/2306103 doi:10.1017/CBO9781139171519.020
(Scholar)
- Heyting, A., 1956, Intuitionism: An Introduction (Studies in Logic and the Foundations of Mathematics), Amsterdam: North-Holland. (Scholar)
- Hilbert, David, 1899, Grundlagen der geometrie
(Festschrift zur feier der enthüllung des Gauss-Weber-denkmals in
Göttingen 1), Leipzig: B.G. Teubner. Translated as The
Foundations of Geometry, E. J. Townsend (trans.), Chicago/London:
Open Court/K. Paul, Trench, Trübner & co., 1902 (Scholar)
- Himelright, Jack, 2021, “Paraphrasing Away Properties with
Pluriverse Counterfactuals”, Synthese, 198(11):
10883–10902. doi:10.1007/s11229-020-02757-2 (Scholar)
- –––, 2023a, “Applied Mathematics without Numbers”, Philosophia Mathematica, 31(2): 147–175. doi:10.1093/philmat/nkac032 (Scholar)
- –––, 2023b, “A Lewisian Argument Against Platonism, or Why Theses About Abstract Objects Are Unintelligible”, Erkenntnis, 88(7): 3037–3057. doi:10.1007/s10670-021-00489-4 (Scholar)
- Hoffman, Sarah, 2004, “Kitcher, Ideal Agents, and Fictionalism”, Philosophia Mathematica, 12(1): 3–17. doi:10.1093/philmat/12.1.3 (Scholar)
- Hofweber, Thomas, 2005, “Number Determiners, Numbers, and Arithmetic”, The Philosophical Review, 114(2): 179–225. doi:10.1215/00318108-114-2-179 (Scholar)
- Horwich, Paul, 1991, “On the Nature and Norms of Theoretical Commitment”, Philosophy of Science, 58(1): 1–14. doi:10.1086/289596 (Scholar)
- Husserl, Edmund, 1891, Philosophie der Arithmetik: Psychologische und logische untersuchungen, Halle-Saale: C. E. M. Pfeffer. (Scholar)
- Jenkins, C. S., 2008, Grounding Concepts: An Empirical Basis for Arithmetical Knowledge, Oxford/New York: Oxford University Press. doi:10.1093/acprof:oso/9780199231577.001.0001 (Scholar)
- Juvshik, Tim, 2018, “Abstract Objects, Causal Efficacy, and Causal Exclusion”, Erkenntnis, 83(4): 805–827. doi:10.1007/s10670-017-9915-1 (Scholar)
- Kaplan, David, 1968, “Quantifying In”, Synthese, 19(1–2): 178–214. doi:10.1007/bf00568057 (Scholar)
- –––, 1989, “Demonstratives. An Essay on the Semantics, Logic, Metaphysics, and Epistemology of Demonstratives and Other Indexicals”, in Themes from Kaplan, Joseph Almog, John Perry, and Howard Wettstein (eds.), New York: Oxford University Press, 481–563. (Scholar)
- Katz, Jerrold J., 1981, Language and Other Abstract Objects, Totowa, NJ: Rowman and Littlefield. (Scholar)
- –––, 1986, “Why Intensionalists Ought Not
Be Fregeans”, in Truth and Interpretation: Perspectives on
the Philosophy of Donald Davidson, Ernest LePore (ed.), Oxford:
Basil Blackwell, 59–91. (Scholar)
- –––, 1998, Realistic Rationalism (Representation and Mind), Cambridge, MA: MIT Press. doi:10.7551/mitpress/5796.001.0001 (Scholar)
- King, Jeffrey C., 1995, “Structured Propositions and Complex Predicates”, Noûs, 29(4): 516–535. doi:10.2307/2216285 (Scholar)
- –––, 2014, “Naturalized
Propositions”, in King, Soames, and Speaks 2014: 46–70
(ch. 4). (Scholar)
- King, Jeffrey C., Scott Soames, and Jeffrey Speaks (eds.), 2014, New Thinking about Propositions, Oxford: Oxford University Press. doi:10.1093/acprof:oso/9780199693764.001.0001 (Scholar)
- Kitcher, Philip, 1984, The Nature of Mathematical
Knowledge, New York/Oxford: Oxford University Press.
doi:10.1093/0195035410.001.0001 (Scholar)
- Kripke, Saul A., 1972, “Naming and Necessity: Lectures Given to the Princeton University Philosophy Colloquium”, in Semantics of Natural Language (Synthese Library), Donald Davidson and Gilbert Harman (eds.), Dordrecht: Reidel, 253–355. doi:10.1007/978-94-010-2557-7_9 (Scholar)
- –––, 1979, “A Puzzle about Belief”, in Meaning and Use (Synthese Language Library, 3), Avishai Margalit (ed.), Dordrecht/Boston: Reidel, 239–283. doi:10.1007/978-1-4020-4104-4_20 (Scholar)
- Langendoen, D. Terence and Paul Martin Postal, 1984, The
Vastness of Natural Languages, Oxford, England: Blackwell. (Scholar)
- Lavine, Shaughan, 1992, “Review of Realism in
Mathematics, by Penelope Maddy”, The Journal of
Philosophy, 89(6): 321–326. doi:10.2307/2026715 (Scholar)
- Leeds, Stephen, 1979, “Church’s Translation Argument”, Canadian Journal of Philosophy, 9(1): 43–51. doi:10.1080/00455091.1979.10716235 (Scholar)
- Leng, Mary, 2005a, “Revolutionary Fictionalism: A Call to Arms”, Philosophia Mathematica, 13(3): 277–293. doi:10.1093/philmat/nki016 (Scholar)
- –––, 2005b, “Mathematical
Explanation”, in Mathematical Reasoning and Heuristics,
Carlo Cellucci and Donald Gillies (eds.), London: King’s College
London, 167–189. (Scholar)
- –––, 2010, Mathematics and Reality, Oxford/New York: Oxford University Press. doi:10.1093/acprof:oso/9780199280797.001.0001 (Scholar)
- –––, 2022, “The Epistemological Challenge
to Robust Mathematical Platonism: A New Hope?”, in
Evolutionary Debunking Arguments: Ethics, Philosophy of Religion,
Philosophy of Mathematics, Metaphysics, and Epistemology, Diego
E. Machuca (ed.), New York: Routledge, 207–232.
doi:10.4324/9781003026419-13 (Scholar)
- Lewis, David K., 1986, On the Plurality of Worlds, Oxford/New York: B. Blackwell. (Scholar)
- –––, 1990, “Noneism or Allism?”, Mind, 99(393): 24–31. doi:10.1093/mind/xcix.393.24 (Scholar)
- –––, 1991, Parts of Classes, Cambridge: Blackwell. (Scholar)
- Liggins, David, 2010, “The Autism Objection to Pretence Theories”, The Philosophical Quarterly, 60(241): 764–782. doi:10.1111/j.1467-9213.2010.656.x (Scholar)
- –––, 2024, Abstract Objects, Cambridge: Cambridge University Press. doi:10.1017/9781009241373 (Scholar)
- Linnebo, Øystein, 2006, “Epistemological Challenges to Mathematical Platonism”, Philosophical Studies, 129(3): 545–574. doi:10.1007/s11098-004-3388-1 (Scholar)
- Linsky, Bernard and Edward N. Zalta, 1995, “Naturalized Platonism Versus Platonized Naturalism”, Journal of Philosophy, 92(10): 525–555. doi:10.2307/2940786 (Scholar)
- Liston, Michael, 2004, “Thin- and Full-Blooded Platonism: A
Review of Platonism and Anti-Platonism in Mathematics, by
Mark Balaguer”, Review of Modern Logic, 9(3–4):
129–162. (Scholar)
- Maddy, Penelope, 1990, Realism in Mathematics, Oxford:
Clarendon. doi:10.1093/019824035x.001.0001 (Scholar)
- –––, 1992, “Indispensability and Practice”, The Journal of Philosophy, 89(6): 275–289. doi:10.2307/2026712 (Scholar)
- –––, 1997, Naturalism in Mathematics, Oxford: Clarendon Press. doi:10.1093/0198250754.001.0001 (Scholar)
- –––, 2011, Defending the Axioms: On the Philosophical Foundations of Set Theory, Oxford/New York: Oxford University Press. doi:10.1093/acprof:oso/9780199596188.001.0001 (Scholar)
- Malament, David, 1982, “Review of Science Without Numbers: A Defense of Nominalism, by Hartry H. Field”, The Journal of Philosophy, 79(9): 523–534. doi:10.2307/2026384 (Scholar)
- Mally, Ernst, 1912, Gegenstandstheoretische Grundlagen der
Logik und Logistik, Leipzig: Barth. (Scholar)
- Martínez-Vidal, Concha and Navia Rivas-de-Castro, 2020,
“Description, Explanation and Ontological Commitment”, in
Falguera and Martínez-Vidal 2020:
35–57. doi:10.1007/978-3-030-38242-1_3 (Scholar)
- Moltmann, Friederike, 2013a, “Reference to Numbers in Natural Language”, Philosophical Studies, 162(3): 499–536. doi:10.1007/s11098-011-9779-1 (Scholar)
- –––, 2013b, Abstract Objects and the Semantics of Natural Language, Oxford/New York: Oxford University Press. doi:10.1093/acprof:oso/9780199608744.001.0001 (Scholar)
- Marcus, Russell, 2015, Autonomy Platonism and the Indispensability Argument, Lanham, MD: Lexington Books. (Scholar)
- McEvoy, Mark, 2005, “Mathematical Apriorism and Warrant: A Reliabilist‐Platonist Account”, The Philosophical Forum, 36(4): 399–417. doi:10.1111/j.1467-9191.2005.00211.x (Scholar)
- –––, 2012, “Platonism and the ‘Epistemic Role Puzzle’”, Philosophia Mathematica, 20(3): 289–304. doi:10.1093/philmat/nkr036 (Scholar)
- McSweeney, Michaela Markham, 2020, “Theories as Recipes: Third-Order Virtue and Vice”, Philosophical Studies, 177(2): 391–411. doi:10.1007/s11098-019-01398-7 (Scholar)
- Meinong, Alexis, 1904, “Über Gegenstandstheorie”,
in Untersuchungen zur Gegenstandstheorie und Psychologie, A.
Meinong (ed.), Leipzig: Barth, 1–51. (Scholar)
- Melia, Joseph, 2000, “Weaseling Away the Indispensability Argument”, Mind, 109(435): 455–480. doi:10.1093/mind/109.435.455 (Scholar)
- –––, 2002, “Response to Colyvan”, Mind, 111(441): 75–80. doi:10.1093/mind/111.441.75 (Scholar)
- Mill, John Stuart, 1843, A System of Logic, Ratiocinative and Inductive: Being a Connected View of the Principles of Evidence and the Methods of Scientific Investigation, London: John W. Parker. (Scholar)
- Milne, Peter, 1994, “The Physicalization of Mathematics”, The British Journal for the Philosophy of Science, 45(1): 305–340. doi:10.1093/bjps/45.1.305 (Scholar)
- Nutting, Eileen S., 2016, “To Bridge Gödel’s Gap”, Philosophical Studies, 173(8): 2133–2150. doi:10.1007/s11098-015-0601-3 (Scholar)
- O’Leary-Hawthorne, John, 1994, “What Does Van Fraassen’s Critique of Scientific Realism Show?:”, The Monist, 77(1): 128–145. doi:10.5840/monist19947718 (Scholar)
- Parsons, Charles D., 1965, “Frege’s Theory of
Numbers”, in Philosophy in America: Essays, Max Black
(ed.), Ithaca, NY: Cornell University Press, chapter 9. (Scholar)
- –––, 1971, “Ontology and Mathematics”, The Philosophical Review, 80(2): 151–176. doi:10.2307/2184028 (Scholar)
- –––, 1980, “Mathematical Intuition”, Proceedings of the Aristotelian Society, 80: 145–168. doi:10.1093/aristotelian/80.1.145 (Scholar)
- –––, 1994, “Intuition and Number”,
in Mathematics and Mind (Logic and Computation in
Philosophy), Alexander George (ed.), New York: Oxford University
Press, 141–157 (ch. 6).
doi:10.1093/oso/9780195079296.003.0007 (Scholar)
- –––, 1995, “Platonism and Mathematical Intuition in Kurt Gödel’s Thought”, Bulletin of Symbolic Logic, 1(1): 44–74. doi:10.2307/420946 (Scholar)
- Parsons, Terence, 1980, Nonexistent Objects, New Haven, CT: Yale University Press. (Scholar)
- Peacock, Howard, 2009, “What’s Wrong with Ostrich Nominalism?”, Philosophical Papers, 38(2): 183–217. doi:10.1080/05568640903146518 (Scholar)
- Peacocke, Christopher, 1981, “Demonstrative Thought and Psychological Explanation”, Synthese, 49(2): 187–217. doi:10.1007/bf01064298 (Scholar)
- Perry, John, 1979, “The Problem of the Essential Indexical”, Noûs, 13(1): 3–21. doi:10.2307/2214792 (Scholar)
- Plantinga, Alvin, 1974, The Nature of Necessity
(Clarendon Library of Logic and Philosophy), Oxford: Clarendon Press.
doi:10.1093/0198244142.001.0001 (Scholar)
- –––, 1976, “Actualism and Possible Worlds”, Theoria, 42(1–3): 139–160. doi:10.1111/j.1755-2567.1976.tb00681.x (Scholar)
- Plebani, Matteo, 2020, “Recent Debates over the Existence of
Abstract Objects: An Overview”, in
Falguera and Martínez-Vidal 2020:
1–14. doi:10.1007/978-3-030-38242-1_1 (Scholar)
- Pollock, John L., 1984, The Foundations of Philosophical Semantics, Princeton, NJ: Princeton University Press. (Scholar)
- Priest, Graham, 2003, “Meinongianism and the Philosophy of Mathematics†”, Philosophia Mathematica, 11(1): 3–15. doi:10.1093/philmat/11.1.3 (Scholar)
- –––, 2005 [2016], Towards Non-Being: The Logic and Metaphysics of Intentionality, Oxford: Clarendon Press; second edition, 2016. doi:10.1093/0199262543.001.0001 (Scholar)
- Putnam, Hilary, 1967a, “Mathematics without Foundations”, The Journal of Philosophy, 64(1): 5–22. Reprinted in Benacerraf and Putnam 1983 295–312. doi:10.2307/2024603 doi:10.1017/CBO9781139171519.016 (Scholar)
- –––, 1967b, “The Thesis That Mathematics
Is Logic”, in Bertrand Russell; Philosopher of the
Century, Ralph Schoenman (ed.), London: G. Allen &
Unwin. (Scholar)
- –––, 1972, Philosophy of Logic (Essays in Philosophy), London: Allen and Unwin. (Scholar)
- –––, 2012, Philosophy in an Age of Science: Physics, Mathematics, and Skepticism, Mario De Caro and David Macarthur (eds.), Cambridge, MA: Harvard University Press. (Scholar)
- Quine, W. V. O., 1948, “On What There Is”, The
Review of Metaphysics, 2(5): 21–38. Reprinted in
Quine 1961:
1–19. (Scholar)
- –––, 1951, “Two Dogmas of Empiricism”, The Philosophical Review, 60(1): 20–43. Reprinted in Quine 1961: 20–46. doi:10.2307/2181906 (Scholar)
- –––, 1953, “The Problem of Meaning in Linguistics”, in his From a Logical Point of View: 9 Logico-Philosophical Essays, first edition, Cambridge, MA: Harvard University Press, 47–64. Reprinted in Quine 1961: 47–64. (Scholar)
- –––, 1956, “Quantifiers and Propositional
Attitudes”, The Journal of Philosophy, 53(5):
177–187. doi:10.2307/2022451 (Scholar)
- –––, 1961, From a Logical Point
of View: 9 Logico-Philosophical Essays, second edition revised,
Cambridge, MA: Harvard University Press.
- Rayo, Agustín, 2008, “On Specifying Truth-Conditions”, The Philosophical Review, 117(3): 385–443. doi:10.1215/00318108-2008-003 (Scholar)
- –––, 2013, The Construction of Logical Space, Oxford: Oxford University Press. doi:10.1093/acprof:oso/9780199662623.001.0001 (Scholar)
- Recanati, François, 1993, Direct Reference: From Language to Thought, Oxford/Cambridge, MA: Blackwell. (Scholar)
- –––, 2000, Oratio Obliqua, Oratio Recta: An
Essay on Metarepresentation (Representation and Mind), Cambridge,
MA: MIT Press. doi:10.7551/mitpress/5163.001.0001 (Scholar)
- Resnik, Michael D., 1981, “Mathematics as a Science of Patterns: Ontology and Reference”, Noûs, 15(4): 529–550. doi:10.2307/2214851 (Scholar)
- –––, 1982, “Mathematics as a Science of Patterns: Epistemology”, Noûs, 16(1): 95–105. doi:10.2307/2215419 (Scholar)
- –––, 1985, “How Nominalist Is Hartry Field’s Nominalism?”, Philosophical Studies, 47(2): 163–181. doi:10.1007/bf00354144 (Scholar)
- –––, 1997, Mathematics as a Science of Patterns, Oxford/New York: Clarendon Press/Oxford University Press. doi:10.1093/0198250142.001.0001 (Scholar)
- Richard, Mark, 1990, Propositional Attitudes: An Essay on Thoughts and How We Ascribe Them (Cambridge Studies in Philosophy), Cambridge/New York: Cambridge University Press. doi:10.1017/cbo9780511625282 (Scholar)
- Riskin, Adrian, 1994, “On the Most Open Question in the History of Mathematics: A Discussion of Maddy”, Philosophia Mathematica, 2(2): 109–121. doi:10.1093/philmat/2.2.109 (Scholar)
- Rosen, Gideon, 2001, “Nominalism, Naturalism, Epistemic Relativism”, Noûs, 35(s15, Philosophical Perspectives): 69–91. doi:10.1111/0029-4624.35.s15.4 (Scholar)
- Routley [Sylvan], Richard, 1980, Exploring Meinong’s
Jungle and beyond: An Investigation of Noneism and the Theory of
Items, (Departmental Monograph / Philosophy Dept., Research
School of Social Sciences, Australian National University 3),
Canberra: Research School of Social Sciences, Australian National
University. (Scholar)
- Russell, Bertrand, 1905, “On Denoting”, Mind, 14(4): 479–493. doi:10.1093/mind/xiv.4.479 (Scholar)
- –––, 1911, “Knowledge by Acquaintance and Knowledge by Description”, Proceedings of the Aristotelian Society, 11: 108–128. doi:10.1093/aristotelian/11.1.108 (Scholar)
- –––, 1912, The Problems of Philosophy (Home University Library of Modern Knowledge 35), New York/London: Henry Holt and Company/Williams and Norgate. Reprinted, 1959, New York: Oxford University Press. (Scholar)
- Salmon, Nathan U., 1986, Frege’s Puzzle, Cambridge,
MA: MIT Press. (Scholar)
- –––, 1998, “Nonexistence”, Noûs, 32(3): 277–319. doi:10.1111/0029-4624.00101 (Scholar)
- Sapir, Edward, 1921, Language: An Introduction to the Study of
Speech, New York: Harcourt, Brace and Company. (Scholar)
- Saul, Jennifer M., 1999, “The Road to Hell: Intentions and Propositional Attitude Ascription”, Mind & Language, 14(3): 356–375. doi:10.1111/1468-0017.00116 (Scholar)
- Schiffer, Stephen R., 1977, “Naming and Knowing”, Midwest Studies in Philosophy, 2: 28–41. doi:10.1111/j.1475-4975.1977.tb00026.x (Scholar)
- –––, 1987, Remnants of Meaning, Cambridge, MA: MIT Press. (Scholar)
- –––, 1994, “A Paradox of Meaning”, Noûs, 28(3): 279–324. doi:10.2307/2216061 (Scholar)
- –––, 2003, The Things We Mean, Oxford: Oxford University Press. doi:10.1093/0199257760.001.0001 (Scholar)
- Shapiro, Stewart, 1983a, “Conservativeness and Incompleteness”, The Journal of Philosophy, 80(9): 521–531. doi:10.2307/2026112 (Scholar)
- –––, 1983b, “Mathematics and Reality”, Philosophy of Science, 50(4): 523–548. doi:10.1086/289138 (Scholar)
- –––, 1989, “Structure and Ontology”, Philosophical Topics, 17(2): 145–171. doi:10.5840/philtopics19891728 (Scholar)
- –––, 1997, Philosophy of Mathematics: Structure and Ontology, New York: Oxford University Press. doi:10.1093/0195139305.001.0001 (Scholar)
- Soames, Scott, 1985, “Semantics and Psychology”, in The Philosophy of Linguistics (Oxford Readings in Philosophy), Jerrold J. Katz (ed.), Oxford/New York: Oxford University Press, 204–226. (Scholar)
- –––, 1987, “Direct Reference, Propositional Attitudes, and Semantic Content”:, Philosophical Topics, 15(1): 47–87. doi:10.5840/philtopics198715112 (Scholar)
- –––, 2014, “Cognitive Propositions”, in King, Soames, and Speaks 2014: 91–124 (ch. 6). (Scholar)
- Sober, Elliott, 1993, “Mathematics and Indispensability”, The Philosophical Review, 102(1): 35–57. doi:10.2307/2185652 (Scholar)
- Stanley, Jason, 2001, “Hermeneutic Fictionalism”, Midwest Studies in Philosophy, 25: 36–71. doi:10.1111/1475-4975.00039 (Scholar)
- Steiner, Mark, 1975, Mathematical Knowledge (Contemporary Philosophy), Ithaca, NY: Cornell University Press. (Scholar)
- Stich, Stephen P., 1972, “Grammar, Psychology, and Indeterminacy”, The Journal of Philosophy, 69(22): 799–818. doi:10.2307/2025353 (Scholar)
- –––, 1983, From Folk Psychology to Cognitive Science: The Case against Belief, Cambridge, MA: MIT Press. (Scholar)
- Stout, G. F., 1921, “The Nature of Universals and Propositions”, Proceedings of the British Academy, 10: 157–172. Reprinted in his Studies in Philosophy and Psychology, London: Macmillan, 384–404 (ch. XVII). (Scholar)
- Strawson, P. F., 1950, “On Referring”, Mind, 59(235): 320–344. doi:10.1093/mind/lix.235.320 (Scholar)
- Szabó, Zoltán Gendler, 2005,
“Nominalism”, in The Oxford Handbook of
Metaphysics, Michael J. Loux and Dean W. Zimmerman (eds.), Oxford:
Oxford University Press, 11–45.
doi:10.1093/oxfordhb/9780199284221.003.0002 (Scholar)
- Thomae, Johannes, 1898, Elementare Theorie der analytischen
Functionen einer complexen Veränderlichen, 2nd edition.
Halle a.d. Saale: Verlag von Louis Nebert. (Scholar)
- Thomas, Robert S.D., 2000, “Mathematics and Fiction I: Identification”, Logique et Analyse, 43(171/172): 301–340. [Thomas 2000 available online (pdf)] (Scholar)
- –––, 2002, “Mathematics and Fiction Ii: Analogy”, Logique et Analyse, 45(177/178): 185–228. [Thomas 2002 available online (pdf)] (Scholar)
- Thomasson, Amie L., 1999, Fiction and Metaphysics (Cambridge Studies in Philosophy), Cambridge/New York: Cambridge University Press. doi:10.1017/cbo9780511527463 (Scholar)
- Trueman, Robert, 2021, Properties and Propositions: The Metaphysics of Higher-Order Logic, Cambridge/New York: Cambridge University Press. doi:10.1017/9781108886123 (Scholar)
- Tugby, Matthew, 2022, Putting Properties First: A Platonic Metaphysics for Natural Modality, Oxford/New York: Oxford University Press. doi:10.1093/oso/9780198855101.001.0001 (Scholar)
- van Atten, Mark and Juliette Kennedy, 2003, “On the Philosophical Development of Kurt Gödel”, Bulletin of Symbolic Logic, 9(4): 425–476. doi:10.2178/bsl/1067620090 (Scholar)
- van Inwagen, Peter, 1977, “Creatures of Fiction”, American Philosophical Quarterly, 14(4): 299–308. (Scholar)
- Voltolini, Alberto, 2020, “How to Vindicate (Fictional)
Creationism”, in
Falguera and Martínez-Vidal 2020:
277–294. doi:10.1007/978-3-030-38242-1_14 (Scholar)
- Warren, Jared, 2016, “Internal and External Questions Revisited”, Journal of Philosophy, 113(4): 177–209. doi:10.5840/jphil2016113411 (Scholar)
- –––, 2020, Shadows of Syntax: Revitalizing Logical and Mathematical Conventionalism, New York: Oxford University Press. doi:10.1093/oso/9780190086152.001.0001 (Scholar)
- Williams, Donald C., 1953a, “On the Elements of Being: I”, The Review of Metaphysics, 7(1): 3–18. (Scholar)
- –––, 1953b, “On the Elements of Being: II”, The Review of Metaphysics, 7(2): 171–192. (Scholar)
- Wittgenstein, Ludwig, 1956, Remarks on the Foundations of Mathematics, G. H. von Wright, R. Rhees, and G. E. M. Anscombe (eds.), G. E. M. Anscombe (trans.), Oxford: B. Blackwell. (Scholar)
- Wolterstorff, Nicholas, 1980, Works and Worlds of Art (Clarendon Library of Logic and Philosophy), Oxford/New York: Clarendon Press/Oxford University Press. (Scholar)
- Wright, Crispin, 1983, Frege’s Conception of Numbers as Objects (Scots Philosophical Monographs 2), Aberdeen: Aberdeen University Press. (Scholar)
- Yablo, Stephen, 2001, “Go Figure: A Path through Fictionalism”, Midwest Studies in Philosophy, 25: 72–102. doi:10.1111/1475-4975.00040 (Scholar)
- –––, 2002, “Abstract Objects: A Case Study”, Noûs, 36(supplementary volume 1): 220–240. doi:10.1111/1468-0068.36.s1.7 (Scholar)
- –––, 2005, “The Myth of the Seven”, in Fictionalism in Metaphysics, Mark Eli Kalderon (ed.), Oxford/New York: Clarendon Press/Oxford University Press, 88–115 (ch. 3). (Scholar)
- –––, 2009, “Must Existence-Questions Have Answers?”, in Metametaphysics: New Essays on the Foundations of Ontology, David Chalmers, David Manley, and Ryan Wasserman (eds.), Oxford/New York: Clarendon Press/Oxford University Press, 507–525 (ch. 17). doi:10.1093/oso/9780199546046.003.0017 (Scholar)
- Yi, Byeong-uk, 2002, Understanding the Many (Studies in Philosophy), New York: Routledge. doi:10.4324/9781315023854 (Scholar)
- –––, 2016, “Quantifiers, Determiners, and
Plural Constructions”, in Unity and Plurality: Logic,
Philosophy, and Linguistics, Massimiliano Carrara, Alexandra
Arapinis, and Friederike Moltmann (eds.), Oxford: Oxford University
Press, 121–170 (ch. 7).
doi:10.1093/acprof:oso/9780198716327.003.0007 (Scholar)
- Zalta, Edward N., 1983, Abstract Objects: An Introduction to Axiomatic Metaphysics (Synthese Library 160), Dordrecht/Boston: D. Reidel. doi:10.1007/978-94-009-6980-3 (Scholar)
- –––, 1988, Intensional Logic and the Metaphysics of Intentionality (Bradford Books), Cambridge, MA: MIT Press. (Scholar)
- –––, 1999, “Natural Numbers and Natural Cardinals as Abstract Objects: A Partial Reconstruction of Frege’s Grundgesetze in Object Theory”, Journal of Philosophical Logic, 28(6): 617–658. doi:10.1023/a:1004330128910 (Scholar)