A Bibliography
Compiled by Eddie Yeghiayan"Is the Importance of Identity Derivative?" Philosophical Studies (February 1979), 35(2):151-170.
"Set Theoretical Realism." Ph.D. Dissertation, Princeton University, 1979.
Abstract in Dissertation Abstracts
International (May 1979), 39(11A):6813-A.
"Perception and Mathematical Intuition." Philosophical Review (April 1980), 89(2):163-196.
"Sets and Numbers." Nous (November 1981), 15(4):494-511.
"Mathematical Epistemology: What Is the Question?" [Abstract] Nous (March 1982), 16(1):106-107.
"Proper Classes." Journal of Symbolic Logic (March 1983), 48(1):113-139.
"How the Causal Theorist Follows a Rule." In Peter A. French, Theodore E. Uehling, Jr., and Howard K. Wettstein, eds., Causation and Causal Theories, pp. 457-477. Midwest Studies in Philosophy, 9. Minneapolis: University of Minnesot a Press, 1984 .
"Mathematical Epistemology: What Is the Question?" Monist (January 1984), 67(1):46-55.
"New Directions in the Philosophy of Mathematics." In Peter D. Asquith and Philip Kitcher. PSA 1984, Vol. 2, Symposia, pp. 427-448. Proceedings of the 1984 Biennial Meeting of the Philosophy of Science Association. East Lansing, MI : Philosophy of Science Association, 1985.
Review of Charles Parsons' Mathematics and Philosophy: Selected Essays. Canadian Philosophical Reviews/Revue Canadienne de Comptes Rendus en Philosophie (March 1985), 5(3):125-126.
Review of Philip Kitcher's The Nature of Mathematical Knowledge. Philosophy of Science (June 1985), 52(2):312-314.
"Mathematical Alchemy." British Journal for the Philosophy of Science (September 1986), 37(3):279-314.
"Believing the Axioms. I." Journal of Symbolic Logic (June 1988), 53(2):481-511.
"Believing the Axioms. II." Journal of Symbolic Logic (September 1988), 53(3):736-764.
"Mathematical Realism." In Howard K. Wettstein, Peter French, eds., Realism and Antirealism, pp. 275-285. Midwest Studies in Philiosophy, 12. Minneapolis: University of Minnesota Press, 1988.
Review of Saunders Mac Lane's Mathematics: Form and Function. Journal of Symbolic Logic (June 1988), 53(2):643-645.
"The Roots of Contemporary Platonism." Journal of Symbolic Logic (December 1989), 54(4):1121-1144.
"Mathematics and Oliver Twist." Pacific Philosophical
Quarterly (September 1990), 71(3):189-205.
"Physicalistic Platonism." In A.D. Irvine, ed., Physicalism in Mathematics, pp. 259-289. The University of Western Ontario Series in Philosophy of Science, 45. Dordrecht, Holland: Kluwer, 1990.
"A Problem in the Foundations of Set Theory."
Journal of Philosophy (November 1990),
87(11):619-628.
Realism in Mathematics. Oxford: Clarendon Press; New York: Oxford University Press, 1990.
"Philosophy of Mathematics: Prospects for the 1990s."
Synthese (August 1991), 88(2):155-164.
Review of Stephen Pollard's Philosophical Introduction to Set Theory. Journal of Symbolic Logic (June 1991), 56(2):755-756.
"Indispensability and Practice." Journal of Philosophy (June 1992), 89(6):275-289.
Realism in Mathematics. Oxford: Clarendon Press; New York: Oxford University Press, 1992.
Paperback edition issued with corrections."Spring Meeting of the Association for Symbolic Logic." Journal of Symbolic Logic (March 1992), 57(1):366.
"Wittgenstein's Anti-Philosophy of Mathematics." In Johannes Czermak and Klaus Puhl, eds., Philosophie der Mathematik: Akten des 15. Internationalen Wittgenstein-Symposiums: 16. bis 23, August 1992, Kirchberg am Wechsel (Osterreich)/Philosophy of Mathematics: Proceedings of the 15th International Wittgenstien-Symposium: 16th to 23rd August, 1992, Kirchberg am Wechsel (Austria), Vol. 2, pp. 52-72. Schriftenreihe der Wittgenstein-Gesellschaft, 20. Vienna: Holder-Pichler-Tempsky, 1993.
"Does V Equal L?" Journal of Symbolic Logic (March 1993), 58(1):15-41.
"Taking Naturalism Seriously." In Dag Prawitz, Brian Skyrms and Dag Westerstahl, eds., Logic and Philosophy of Science in Uppsala: Papers from the 9th International Congress of Logic, Methodology, and Philosophy of Science. Synthese Library, 236. Dordrecht, Holland & Boston: Kluwer, 1994.
"Class." In Robert Audi, ed., The Cambridge Dictionary of Philosophy, p. 125. Cambridge & New York: Cambridge University Press, 1995.
"Complementary Class." In Robert Audi, ed., The Cambridge Dictionary of Philosophy, p. 141. Cambridge & New York: Cambridge University Press, 1995.
"Continuum Problem." In Robert Audi, ed., The Cambridge Dictionary of Philosophy, p. 159. Cambridge & New York: Cambridge University Press, 1995.
"Maximal Consistent Set." In Robert Audi, ed., The Cambridge Dictionary of Philosophy, p. 469. Cambridge & New York: Cambridge University Press, 1995.
"Naturalism and Ontology." Philosophia Mathematica (September 1, 1995), 3(3):248.
"Perception and Mathematical Intuition." In Michael D. Resnik,
ed.,
Mathematical
Objects and Mathematical Knowledge, pp. 211-244. International
Research
Library
of Philosophy, 13. Philosophy of Mathematics and Science.
Aldershot & Brookfield, Vt.: Dartmouth, 1995.
Reprint of "Perception and Mathematical
Intuition" (1980).
"Physicalistic Platonism." In Michael D. Resnik, ed.,
Mathematical
Objects and Mathematical Knowledge, pp. 179-209. International
Research
Library
of Philosophy, 13. Philosophy of Mathematics and Science.
Aldershot & Brookfield, Vt.: Dartmouth, 1995.
Reprint of "Physicalistic Platonism"
(1990).
"Schröder-Bernstein Theorem." In Robert Audi, ed., The Cambridge Dictionary of Philosophy, p. 718. Cambridge & New York: Cambridge University Press, 1995.
"Set Theory." In Robert Audi, ed., The Cambridge Dictionary of Philosophy, pp. 729-731. Cambridge & New York: Cambridge University Press, 1995.
"Transfinite Number." In Robert Audi, ed., The Cambridge Dictionary of Philosophy, p. 810. Cambridge & New York: Cambridge University Press, 1995.
"The Legacy of `Mathematical Truth'." In Adam Morton and Stephen P. Stich, eds., Benacerraf and His Critics, pp. 60-72. Philosophers and their Critics, 8. Oxford & Cambridge, Ma.: Blackwell, 1996.
"Ontological Commitment: Between Quine and Duhem." In James E. Tomberlin, ed., Metaphysics, 1996, pp. 317-341. Philosophical Perspectives, 10. A Supplement to Nous (1996). Cambridge, Mass.: Blackwell, 1996.
"Perception and Mathematical Intuition." In W.D. Hart, ed., The Philosophy of Mathematics. Oxford Readings in Philosophy. Oxford & New York: Oxford University Press, 1996.
"Set Theoretic Naturalism." Journal of Symbolic Logic (June 1996), 61 (2):490-514.
Naturalism in Mathematics. Oxford:
Clarendon Press;
New York: Oxford University Press, 1997.
Contents:
Pt. I. The Problem.
1. The Origins of Set Theory
2. Set Theory as a Foundation
3. The Standard Axioms
4. Independent Questions
5. New Axioms Candidates
6. V = L
Pt. II. Realism
1. Godelian Realism
2. Quinean Realism
3. Set Theoretic Realism
4. A Realist's Case against V = L
5. Hints of Trouble
6. Indispensability and Scientific Practice
7. Indispensability and Mathematical Practice
Pt. III. Naturalism
1. Wittgensteinian Anti-Philosophy
2. A Second Godelian Theme
3. Quinean Naturalism
4. Mathematical Naturalism
5. The Problem Revisited
6. A Naturalist's Case against V = L
"Naturalizing Mathematical Methodology." In Mattias Schirn, ed., Philosophy of Mathematics Today. Oxford: Clarendon Press, 1998.
"Naturalism and the A Priori." In Paul Boghossian and Christopher Peacocke, eds., New Essays on the A Priori, pp. 92-116. Oxford: Clarendon Press; New York: Oxford University Press, 2000.
"Naturalism: Friends and Foes." In James E. Tomberlin, ed., Metaphysics, 2001, pp. 37-67. Philosophical Perspectives, 15. A Supplement to Nous. Boston: Blackwell, 2001.
"A Platonist's Lament." Acta Analytica
Realism in Mathematics (1990)
Reviews
Bigelow, John. History and Philosophy of Logic (1992), 13(2):235-238.Naturalism in Mathematics
(1997) Balaguer, Mark. Philosophy of Science (September 1999), 66(3):502-504.
Discussions of Penelope Maddy's Work
Aleman, Anastasio. "El realismo en matematicas." Mathesis (1995), 11(1):37-53.
Antonelli, Gian Aldo. "Conceptions and Paradoxes of Sets." Philosophia Mathematica (1999), 7(2):136-163.
Azzouni, Jody. Metaphysical Myths, Mathematical Practice: The Ontology and Epistemology of the Exact Sciences. Cambridge & New York: Cambridge University Press, 1994.
Azzouni, Jody. "Truth and Convention." Pacific Philosophical Quarterly (1990), 71(2):100n5.
Balaguer, Mark. "Against (Maddian) Naturalized Platonism." Philosophia Mathematica (May 1994), 3(2):97-108.
Balaguer, Mark. "Toward a Nominalization of Quantum Mechanics." Mind (April 1996), 105(418):209-226.
Benacerraf, Paul. "Comment on Maddy and Tymoczko." In Peter D. Asquith and Philip Kitcher, eds., PSA 1984, Vol. 2: Symposia, pp. 476-485. Proceedings of the 1984 Biennial Meeting of the Philosophy of Science Association. East Lansing, MI: Philos ophy of Science Association, 1985.
Bigelow, John. The Reality of Numbers: A Physicalist's Philosophy of Mathematics, pp. 3, 185. Oxford: Clarendon Press, 1988.
Bigelow, John. Review of Penelope Maddy's Realism in Mathematics. History and Philosophy of Logic (1992), 13(2):235-238.
Boolos, George. "Comments on Maddy." In Peter D. Asquith and Philip Kitcher, eds., PSA 1984, Vol. 2: Symposia. Proceedings of the 1984 Biennial Meeting of the Philosophy of Science Association. East Lansing, MI: Philosophy of Science Association, 1985.
Brown, James Robert. Philosophy of Mathematics: An Introduction to the World of Proofs and Pictures, pp. 13, 17, 193n3, 204. London & New York: Routledge, 1999.
Burgess, John P. Review of Crispin Wright's Frege's Conception of Numbers as Objects. Philosophical Review (October 1984), 93(4):640.
Burgess, John P. "Why I Am Not a Nominalist." Notre Dame Journal of Formal Logic (January 1983), 24(1):100, 105.
Casullo, Albert. "Causality, Reliabilism, and Mathematical Knowledge." Philosophy and Phenomenological Research (September 1992), 52(3):558, 559, 581, 584n50.
Casullo, Albert. "Revisability, Reliabilism, and A Priori Knowledge." Philosophy and Phenomenological Research (December 1988), 49(2):211nn28, 29.
Chihara, Charles S. Constructibility and Mathematical Existence. Oxford: Clarendon Press; New York: Oxford University Press, 1990.
Chihara, Charles S. "A Gödelian Thesis Regarding Mathematical Objects: Do They Exist? And Can We Perceive Them?" Philosophical Review (April 1982), 91(2):211-227.
Chihara, Charles S. "Tharp's `Myth and Mathematics'." Synthese (1989), 81(2):164n3, 165nn22, 25.
Colyvan, Mark. "In Defence of Indispensability." Philosophia Mathematica (1998), 6:39-62.
Corry, Leo. "Nicolas Bourbaki and the Concept of Mathematical Structure." Synthese (September 1992), 92(3):342n3, 347.
Davies, Steven. "Kripke, Crusoe and Wittgenstein." Australasian Journal of Philosophy (1988), 66(1):52-66.
De Lorenzo, Javier. "Matematica y filosofia: sus `nefastas' influencias mutuas (`nuevas' filosofias de la matematica)." El Basilisco (1992), 13:3-13.
De Pierris, G. "Frege and Kant on A Priori Knowledge." Synthese (1988), 77(3):285.
Dieterle, Jill M. "Mathematical, Astrological, and Theological Naturalism." Philosophia Mathematica (1999), 7(2):129-135
Dieterle, Jill and Stewart Shapiro. Review of Penelope Maddy's Realism in Mathematics. Philosophy of Science (December 1993), 60(4):659-660.
Field, Hartry H. "Is Mathematical Knowledge Just Logical Knowledge?" Philosophical Review (October 1984), 93(4):509n.
Field, Hartry H. "Mathematics without Truth (A Reply to Maddy)."
Pacific
Philosophical Quarterly (September 1990), 71(3):206-213.
Field, Hartry H. "On Conservativeness and Incompleteness." Journal of Philosophy (May 1985), 82(5):239n.
Field, Hartry H. Realism, Mathematics and Modality, pp. 19n13, 19n18, 214n55, 239n10, 284. Oxford & New York: Blackwell, 1989.
Garavaso, Pieranna. "Wittgenstein's Philosophy of Mathematics: A Reply to Two Objections." Southern Journal of Philosophy (Summer 1988), 26(2):179-191. 191n8.
Gillies, Donald A. Review of Charles S. Chihara's Constructibility and Mathematical Existence. British Journal for Philosophy of Science (June 1992), 43(2):263-278. 263n, 266-267, 270, 271-273, 276, 277, 278.
Hale, Bob. Abstract Objects, pp. 79-83. Philosophical Theory. Oxford & New York: Blackwell, 1987.
Hale, Bob. "Is Platonism Epistemologically Bankrupt?" Philosophical Review (April 1994), 103(2):302n6.
Hale, Bob. "Physicalism and Mathematics." In Howard Robinson, ed., Objections to Physicalism. Oxford: Clarendon Press; New York: Oxford University Press, 1993.
Hale, Bob. Review of Penelope Maddy's Realism in Mathematics. Journal of Symbolic Logic (June 1992), 57(2):750-752.
Hale, Bob and Crispin Wright. "Nominalism and the Contingency of Abstract Objects." Journal of Philosophy (March 1992), 89(3):113n6.
Heintz, B. "Science in Context: A Review of Developments in the Sociology of Science." Kolner Zeitschrift für Sozialpsychologie (1993), 45(3):528.
Hellman, Geoffrey. "Toward a Modal-Structural Interpretation of Set-Theory." Synthese (1990), 84(3):409.
Hrachovec, Herbert. "Formale Semantik im Verhältnis zur Erkenntnistheorie. Ein Blickwechsel." Zeitschrift für Philosophische Forschung (April-June 1993), 47(2):166n3.
Humphrey, John A. "Some Objections to Garavaso's Wittgenstein." Southern Journal of Philosophy (Fall 1991), 29(3):323n4.
Irvine, A.D. "Epistemic Logicism and Russell's Regressive Method." Philosophical Studies (March 1989), 55(3):324n61, 325-326.
Katz, Jerrold J. Language and Other Abstract Objects, pp. 219n29, 245. Totowa, NJ: Rowman and Littefield, 1981.
Kfia, Lilianne Rivka. Review of Penelope Maddy's Realism in Mathematics. Review of Metaphysics (March 1994), 47(3):628-629.
Kim, Jaegwon. "The Role of Perception in A Priori Knowledge: Some Remarks." Philosophical Studies (1981), 40(3):354n12.
Kitcher, Philip. "Mathematical Naturalism." In William Aspray and Philip Kitcher, eds., History and Philosophy of Modern Mathematics, p. 328n18. Minnesota Studies in the Philosophy of Science, 11. Minneapolis, MN: University of Minnesota Press, 1988.
Kitcher, Philip. "Mathematical Progress." Revue Internationale de Philosophie (1988), 42(167):522n8.
Kitcher, Philip. The Nature of Mathematical Knowledge, pp. vi, 57n9, 59n13, 63-64n16, 103n5, 148n49, 277. New York & Oxford: Oxford University Press, 1983.
Koethe, John. "And They Ain't Outside the Head Either." Synthese (January 1992), 90(1):27-53. 51n27, 53.
Kremer, Michael. "Set-Theoretic Realism and Arithmetic." Philosophical Studies (December 1991), 64(3):253-271.
Lavine, Shaughan. Review of Penelope Maddy's Realism in Mathematics. Journal of Philosophy (June 1992), 89(6):321-326.
Lear, Jonathan. "Aristotle's Philosophy of Mathematics." Philosophical Review (April 1982), 91(2):161n1.
Liston, Michael. "How Abstract Objects Strike Us." Dialectica (1994), 48(1):3-27.
Liston, Michael. "Reliability in Mathematical Physics." Philosophy of Science (1993), 60(1):1-21.
Liston, Michael. "Taking Mathematical Fictions Seriously." Synthese (June 1993), 95(3):453n1, 457.
Lowe, E.J. "Are the Natural Numbers Individuals or Sorts?" Analysis (July 1993), 53(3):145n2, 146.
Luce, L. "Literalism and the Applicability of Arithmetic." British Journal for the Philosophy of Science (December 1991), 42(4):488.
MacCallum, David. "Conclusive Reasons that We Perceive Sets." International Studies in the Philosophy of Science (March 2000), 14(1):25-42.
McCarty, David Charles. Review of Penelope Maddy's Realism in Mathematics. Synthese (August 1993), 96(2):255-291.
McCarthy, Timothy G. "Self-Reference and Incompleteness in a Nonmonotonic Setting." Journal of Philosophical Logic (August 1994), 23(4):423-449. 448n4, 449.
Mac Lane, Saunders. Mathematics, Form and Function, p. v. New York: Springer-Verlag, 1986.
McLaughlin, B.P. "Perception, Causation, and Supervenience." In Peter A. French, Theodore E. Uehling, Jr. and Howard K. Wettstein, eds., Causation and Causal Theories, pp. 588, 591n36. Midwest Studies in Philosophy, 9. Minne apolis: Univ ersity of Minnesota Press, 1984.
McMullen, Carolyn. "An Argument Against the Identity Theory." Pacific Philosophical Quarterly (July 1984), 65(3):287n8.
McMullen, Carolyn. "In What Sense is Logic Something Sublime." Nous (March 1989), 23(1):39, 60nn1, 3, 61.
Mar, Gary. "Why `Cantorian' Arguments Against the Existence of God Do Not Work." International Philosophical Quarterly (December 1993), 33(4):441n32.
Menzel, Christopher. "Frege Numbers and the Relativity Argument." Canadian Journal of Philosophy (1988), 18(1):87n1, 98n21.
Menzel, Christopher. "On the Iterative Explanations of the Paradoxes." Philosophical Studies (January 1986), 49(1):59n15, 60n21.
Milne, Peter. "The Physicalization of Mathematics." Review of Penelope Maddy's Realism in Mathematics. British Journal for the Philosophy of Science (March 1994), 45(1):305-340.
Montgomery, Richard. "Discrimination, Reidentification and the Indeterminacy of Early Vision." Nous (September 1989), 23(4):434.
Nelson, John O. "Do Animals Propositionally Know? Do They Propositionally Believe?" American Philosophical Quarterly (April 1983), 20(2):157, 160n4.
Neu, Jerome. "One Hundred Eleventh Critical Bibliography of the History of Science and its Cultural Influences." Isis (1986), 77(290):214.
Norton-Smith, Thomas M. "An Arithmetic of Action Kinds: Kitcher Gone Mad(dy)." Philosophical Studies (August 1991), 63(2):237n12, 238n15.
Oliver, Alex. "The Metaphysics of Properties." Mind (January 1996), 105(417):1-79.
Parsons, Charles. "On Some Difficulties Concerning Intuition and Intuitive Knowledge." Mind (April 1993), 102(406):233-246.
Pollard, Stephen. "Choice Again." Philosophical Studies (June 1992), 66(3):295n13, 295.
Ratner, Sidney. "John Dewey, Empiricism, and Experimentalism in the Recent Philosophy of Mathematics." Journal of the History of Ideas (July-September 1992), 53(3):479.
Reinhardt, William N. "Some Remarks on Extending and Interpreting Theories with a Partial Predicate for Truth." Journal of Philosophical Logic (May 1986), 15(2):222, 223, 251.
Resnik, Michael D. "Mathematics as a Science of Patterns--Epistemology." Nous (March 1982), 16(1):95, 104n3.
Resnik, Michael D. "Mathematics as a Science of Patterns: Ontology and Reference." Nous (November 1981), 15(4):550n25.
Resnik, Michael D. "Mathematics from the Structural Point of View." Revue Internationale de Philosophie (1988), 42(167):405.
Resnik, Michael D. "Scientific versus Mathematical Realism: The Indispensability Argument." Philosophia Mathematica (1995), 3(2):166-174.
Resnik, Michael D. "A Structuralist's Involvement with Modality." Review of Geoffrey Hellman's Mathematics without Numbers: Towards a Modal-Structural Interpretation. Mind (January 1992), 101(401):121.
Restall, Greg. "Deviant Logic and the Paradoxes of Self-Reference." Philosophical Studies (June 1993), 70(3):287, 303.
Riskin, Adrian. "The Most Open Question in the History of Mathematics: A Discussion of Maddy." Philosophia Mathematica (May 1994), 2(2):109-121.
Roberts, Melinda. "Lewis' Theory of Personal Identity." Australasian Journal of Philosophy (March 1983), 61(1):58-59, 61-62, 67.
Rodríguez-Consuegra, Francisco. "Números, objetos y estructuras." Critica (August 1991), 23(68):42-44, 69n27, 81, 85.
Rosen, Gideon. "What is Constructive Empiricism?" Philosophical Studies (May 1994), 74(2):143.
Sayre-McCord, Geoffrey. "Moral Realism Bibliography." Southern Journal of Philosophy (1986), 24(Supplement):152.
Sayre-McCord. "Moral Theory and Explanatory Impotence." In Peter A. French, Theodore E. Uehling, Jr. and Howard K. Wettstein, eds., Realism and Antirealism, pp. 433-457. 454n15, 454-455n21. Midwest Studies in Philosophy, 12. Min neapolis: Un iversity of Minnesota Press, 1988.
Shapiro, Stewart. "Mathematics and Reality." Philosophy of Science (December 1983), 50(4):533n7, 547.
Shapiro, Stewart. "Modality and Ontology." Mind (July 1993), 102(407):455, 479n, 480.
Simmons, Keith. "On An Argument Against Omniscience." Nous (March 1993), 27(1):32n11, 33.
Simms, John C. "Traditional Cavalieri Principles Applied to the Modern Notion of Area." Journal of Philosophical Logic (August 1989), 18(3):314.
Slaney, John. Review of Penelope Maddy's Realism in Mathematics. Philosophical Books (January 1992), 33(1):61-62.
Smith, D.M. "Toward a Perspicuous Characterization of Intentional States." Philosophical Studies (April 1994), 74(1):103.
Sober, Elliott. "Mathematics and Indispensability." Philosophical Review (January 1993), 102(1):35-57. 35n1, 48n12, 56n23.
Tait, W.W. "Truth and Proof: The Platonism of Mathematics." Synthese (December 1986), 69(3):346, 370.
Tieszen, Richard. "Kurt Godel and Phenomenology." Philosophy of Science (June 1992), 59(2):176-194.
Tieszen, Richard. Mathematical Intuition: Phenomenology and Mathematical Knowledge, pp. 16, 18, 159-161, 192n10, 198. Synthese Library, 203. Dordrecht, Holland & Boston: Kluwer, 1989.
Tieszen, Richard. "Phenomenology and Mathematical Knowledge." Synthese (June 1988), 75(3):401n18, 402.
Tieszen, Richard. Review of Penelope Maddy's Realism in Mathematics. Philosophia Mathematica (January 1994), 2(1):69-81.
Tiles, Mary. Mathematics and the Image of Reason, pp. 4, 181. Philosophical Issues in Science. London: Routledge, 1991.
Tymoczko, Thomas. "Mathematics, Science and Ontology." Synthese (1991), 88(2):201-228.
Van Lambalgen, Michael. "Independence, Randomness and the Axiom of Choice." Journal of Symbolic Logic (December 1992), 57(4):1276, 1304.
Weiner, Joan. Review of Penelope Maddy's Realism in Mathematics. Philosophical Review (April 1993), 102(2):281-285.
Wright, Crispin. "Why Numbers Can Believably Be: A Reply to Hartry Field." Revue Internationale de Philosophie (1988), 42(167):428n8.
Yourgrau, Palle. "Sets, Aggregates, and Numbers." Canadian Journal of Philosophy (1985), 15(4):581-592.