Stewart Shapiro (shapiro-s)

My contributions to Philosophie.ch

Bibliography

Arnold, Jack and Shapiro, Stewart. 2007. “Where in the (World Wide) Web of Belief is the Law of Non-Contradiction?” Noûs 41(2): 276–297.
Dunn, Michael J., Epstein, George, Cocchiarella, Nino Barnabas and Shapiro, Stewart, eds. 1975. Proceedings of the 1975 International Symposium on Multiple-Valued Logic. Indiana University, Bloomingto, May 13-16, 1975. Long Beach, California: IEEE Computer Society.
Florio, Salvatore and Shapiro, Stewart. 2014. “Set Theory, Type Theory, and Absolute Generality.” Mind 123(489): 157–174.
Hellman, Geoffrey and Shapiro, Stewart. 2015a. “Regions-Based Two-Dimensional Continua: The Euclidean Case.” Logic and Logical Philosophy 24(4): 499–534.
Hellman, Geoffrey and Shapiro, Stewart. 2015b. “Points, Gunk, Boundaries, and Contact.” in The Logica Yearbook 2014, edited by Pavel Arazim and Michal Dančák, pp. 165–184. London: College Publications.
Hellman, Geoffrey and Shapiro, Stewart. 2018. Varieties of Continua. From Regions to Points and Back. Oxford: Oxford University Press, doi:10.1093/oso/9780198712749.001.0001.
Linnebo, Øystein and Shapiro, Stewart. 2019. “Realizability as a Kind of Truth-Making.” in Quo Vadis, Metaphysics? Essays in Honor of Peter van Inwagen, edited by Mirosław Szatkowski, pp. 351–366. Philosophical Analysis n. 81. Berlin: de Gruyter, doi:10.1515/9783110664812.
Linnebo, Øystein and Shapiro, Stewart. 2021. “Modality in Mathematics.” in The Routledge Handbook of Modality, edited by Otávio Bueno and Scott A. Shalkowski, pp. 281–291. Routledge Handbooks in Philosophy. London: Routledge.
Linnebo, Øystein, Shapiro, Stewart and Hellman, Geoffrey. 2016. “Aristotelian Continua.” Philosophia Mathematica 24(2): 214–246.
Lycan, William G. and Shapiro, Stewart. 1986. “Actuality and Essence.” in Midwest Studies in Philosophy 11: Studies in Essentialism, edited by Peter A. French, Theodore E. Uehling Jr., and Howard K. Wettstein, pp. 343–377. Minneapolis, Minnesota: University of Minnesota Press.
McCarthy, Timothy G. and Shapiro, Stewart. 1987. “Turing Projectability.” Notre Dame Journal of Formal Logic 28: 520–535.
Raffman, Diana and Shapiro, Stewart. 2003. “Review of Keefe (2000).” The Philosophical Review 112(2): 260.
Scharp, Kevin and Shapiro, Stewart. 2012. “On Richard (2008).” Philosophical Studies 160(3): 455–463.
Scharp, Kevin and Shapiro, Stewart. 2017. “Revising Inconsistent Concepts.” in Reflections on the Liar, edited by Bradley Armour-Garb, pp. 257–280. New York: Oxford University Press, doi:10.1093/oso/9780199896042.001.0001.
Shapiro, Stewart. 1977. “Incomplete Translations of Complete Logics.” Notre Dame Journal of Formal Logic 18: 248–250.
Shapiro, Stewart. 1980. “On the Notion of Effectiveness.” History and Philosophy of Logic 1: 209–230.
Shapiro, Stewart. 1981. “Understanding Church’s Thesis.” The Journal of Philosophical Logic 10(2): 353–365.
Shapiro, Stewart. 1983a. “Conservativeness and Incompleteness.” The Journal of Philosophy 80(9): 521–531, doi:10.2307/2026112.
Shapiro, Stewart. 1983b. “Mathematics and Reality.” Philosophy of Science 50: 523–548.
Shapiro, Stewart. 1983c. “Remarks on the Development of Computability.” History and Philosophy of Logic 4: 203–220.
Shapiro, Stewart. 1984a. “Arithmetic Sinn and Effectiveness.” Dialectica 38(1): 3–16.
Shapiro, Stewart. 1984b. “Principles of Logic and Principles of Reflection.” The Journal of Symbolic Logic 49: 1446–1147.
Shapiro, Stewart. 1984c. “Review of Field (1980).” Philosophia: Philosophical Quarterly of Israel 14: 437–444.
Shapiro, Stewart, ed. 1985a. Intensional Mathematics. Studies in Logic and the Foundations of Mathematics n. 113. Amsterdam: North-Holland Publishing Co.
Shapiro, Stewart. 1985b. “Introduction – Intensional Mathematics and Constructive Mathematics.” in Intensional Mathematics, edited by Stewart Shapiro, pp. 1–10. Studies in Logic and the Foundations of Mathematics n. 113. Amsterdam: North-Holland Publishing Co.
Shapiro, Stewart. 1985c. “Epistemic and Intuitionistic Arithmetic.” in Intensional Mathematics, edited by Stewart Shapiro, pp. 11–45. Studies in Logic and the Foundations of Mathematics n. 113. Amsterdam: North-Holland Publishing Co.
Shapiro, Stewart. 1985d. “Second-Order Languages and Mathematical Practice.” The Journal of Symbolic Logic 50: 714–742. Reprinted in Shapiro (1996a).
Shapiro, Stewart. 1987. “Principles of Reflection and Second-Order Logic.” The Journal of Philosophical Logic 16(3): 309–333.
Shapiro, Stewart. 1989a. “Structure and Ontology.” Philosophical Topics 17(2): 145–172.
Shapiro, Stewart. 1989b. “Logic, Ontology and Mathematical Practice.” Synthese 79: 13–50.
Shapiro, Stewart. 1990. “Second-Order Logic, Foundations, and Rules.” The Journal of Philosophy 87: 234–261. Reprinted in Shapiro (1996a).
Shapiro, Stewart. 1991. Foundations without Foundationalism: A Case for Second-Order Logic. Oxford Logic Guides n. 17. Oxford: Oxford University Press, doi:10.1093/0198250290.001.0001.
Shapiro, Stewart. 1992. “Foundationalism and Foundations of Mathematics.” in Proof and Knowledge in Mathematics, edited by Michael Detlefsen, pp. 171–207. London: Routledge.
Shapiro, Stewart. 1993a. “Understanding Church’s Thesis, Again.” Acta Analytica 8(11): 59–77.
Shapiro, Stewart. 1993b. “Review of Hellman (1989).” Noûs 27: 522–525.
Shapiro, Stewart. 1993c. “Modality and Ontology.” Mind 102(407): 455–481.
Shapiro, Stewart. 1993d. “Anti-Realism and Modality.” in Proceedings of the 15th International Wittgenstein Symposium: Wittgenstein’s Philosophy of Mathematics (part 1), edited by Johannes Czermak, pp. 269–287. Schriftenreihe der Österreichischen Ludwig Wittgenstein Gesellschaft n. 20/1. Wien: Hölder-Pichler-Tempsky.
Shapiro, Stewart. 1994. “Mathematics and Philosophy of Mathematics.” Philosophia Mathematica 2(2): 148–160.
Shapiro, Stewart. 1995a. “Reasoning, Logic, and Computation.” Philosophia Mathematica 3(1): 31–51.
Shapiro, Stewart. 1995b. “Skolem Paradox.” in The Oxford Companion to Philosophy, edited by Ted Honderich, pp. 827. Oxford Companions. Oxford: Oxford University Press.
Shapiro, Stewart. 1996a. The Limits of Logic: Second-Order Logic and the Löwenheim-Skolem Theorem. Brookfield, Vermont: Aldershot.
Shapiro, Stewart. 1996b. “Introduction.” Philosophia Mathematica 4(2): 81–82.
Shapiro, Stewart. 1996c. “Space, Number, and Structure: A Tale of Two Debates.” Philosophia Mathematica 4(2): 148–173.
Shapiro, Stewart. 1997. Philosophy of Mathematics: Structure and Ontology. Oxford: Oxford University Press, doi:10.1093/0195139305.001.0001.
Shapiro, Stewart. 1998a. “Proof and Truth: Through Thick and Thin.” The Journal of Philosophy 95(10): 493–521.
Shapiro, Stewart. 1998b. “Logical Consequence: Models and Modality.” in The Philosophy of Mathematics Today, edited by Matthias Schirn, pp. 131–156. Oxford: Oxford University Press, doi:10.1093/oso/9780198236542.003.0005.
Shapiro, Stewart. 1998c. “Incompleteness, Mechanism, and Optimism.” The Bulletin of Symbolic Logic 4(3): 273–302.
Shapiro, Stewart. 1998d. “Induction and Indefinite Extendibility: The Gödel Sentence is True but Did Someone Change the Subject.” Mind 107: 597–624.
Shapiro, Stewart. 1999. “Do Not Claim Too Much: Second-Order and First-Order Logic.” Philosophia Mathematica 7(1): 42–64.
Shapiro, Stewart. 2000a. Thinking about Mathematics: The Philosophy of Mathematics. Oxford: Oxford University Press.
Shapiro, Stewart. 2000b. “The Status of Logic.” in New Essays on the A Priori, edited by Paul Artin Boghossian and Christopher Peacocke, pp. 333–366. Oxford: Oxford University Press, doi:10.1093/0199241279.003.0014.
Shapiro, Stewart. 2000c. “Frege Meets Dedekind: A Neo-Logicist Treatment of Real Analysis.” Notre Dame Journal of Formal Logic 41: 335–364. Reprinted in Cook (2007, 219–252).
Shapiro, Stewart. 2000d. “Quine on Logic.” in The Logica Yearbook 1999, edited by Timothy Childers, pp. 11–21. Praha: Filosofia. Nakladetelstvı́ Filosofického ústavu AV ČR.
Shapiro, Stewart. 2000e. “Classical Logic.” in The Stanford Encyclopedia of Philosophy. Stanford, California: The Metaphysics Research Lab, Center for the Study of Language; Information, https://plato.stanford.edu/archives/fall2000/entries/logic-classical/.
Shapiro, Stewart. 2001a. “Why Anti Realists and Classical Mathematicians Cannot Get Along.” Topoi 20: 53–63.
Shapiro, Stewart. 2001b. “The ‘Triumph’ of First-Order Languages.” in Logic, Meaning and Computation: Essays in Memory of Alonzo Church, edited by Curtis Anthony Anderson and Michael Zelëny, pp. 219–259. Synthese Library n. 304. Dordrecht: Kluwer Academic Publishers.
Shapiro, Stewart. 2001c. “Systems between First- and Second-order Logic.” in Handbook of Philosophical Logic, Volume I, edited by Dov M. Gabbay and Franz Guenthner, 2nd ed., pp. 131–187. Dordrecht: Springer.
Shapiro, Stewart. 2001d. “Classical Logic II – Higher-Order Logic.” in The Blackwell Guide to Philosophical Logic, edited by Lou F. Goble, pp. 33–54. Blackwell Philosophy Guides. Oxford: Blackwell Publishers, doi:10.1002/9781405164801.
Shapiro, Stewart. 2002a. “Incompleteness and Inconsistency.” Mind 111: 817–831.
Shapiro, Stewart. 2002b. “Deflation and Conservation.” in Principles of Truth, edited by Volker Halbach and Leon Horsten, pp. 103–128. Egelsbach: Hänsel-Hohenhausen. Second edition, with small corrections: Halbach and Horsten (2004).
Shapiro, Stewart. 2002c. “Necessity, Meaning, and Rationality: The Notion of Logical Consequence.” in A Companion to Philosophical Logic, edited by Dale Jacquette, pp. 227–240. Blackwell Companions to Philosophy. Oxford: Blackwell Publishers, doi:10.1002/9780470996751.
Shapiro, Stewart. 2003a. “Prolegomenon to Any Future Neo-Logicist Set Theory: Abstraction and Indefinite Extensibility.” The British Journal for the Philosophy of Science 54(1): 59–91. Reprinted in Cook (2007, 353–382).
Shapiro, Stewart. 2003b. “Vagueness and Conversation.” in Liars and Heaps: New Essays on Paradox, edited by J. C. Beall, pp. 39–72. Oxford: Oxford University Press.
Shapiro, Stewart. 2003c. “Mechanism, Truth, and Penrose’s New Argument.” The Journal of Philosophical Logic 32(1): 19–42.
Shapiro, Stewart. 2003d. “All Sets Great and Small: And I Do Mean All.” in Philosophical Perspectives 17: Language and Philosophical Linguistics, edited by Dean W. Zimmerman and John Hawthorne, pp. 467–490. Oxford: Blackwell Publishers.
Shapiro, Stewart. 2003e. “The Guru, the Logician, and the Deflationist: Truth and Logical Consequence.” Noûs 37(1): 113–132.
Shapiro, Stewart. 2003f. “Philosophy of Mathematics.” in Philosophy of Science Today, edited by Peter Clark and Katherine Hawley, pp. 181–200. Oxford: Oxford University Press.
Shapiro, Stewart. 2003g. “Bertrand Russell, ‘On Denoting’ (1905) and ‘Mathematical Logic as Based on the Theory of Types’ (1908): Metaphysics to Logic and Back.” in Classics in Western Philosophy. A Reader’s Guide, edited by Jorge J. E. Gracia, Gregory M. Reichberg, and Bernard N. Schumacher, pp. 460–466. Oxford: Blackwell Publishers.
Shapiro, Stewart. 2004a. “The Nature and Limits of Abstraction [review of Fine (2002)].” The Philosophical Quarterly 54(214): 166–174.
Shapiro, Stewart. 2004b. “Foundations of Mathematics: Metaphysics, Epistemology, Structure.” The Philosophical Quarterly 54(214): 16–37.
Shapiro, Stewart. 2004c. “Simple Truth, Contradiction, and Consistency.” in The Law of Non-Contradiction: New Philosophical Essays, edited by Graham Priest, J. C. Beall, and Bradley Armour-Garb, pp. 336–354. Oxford: Oxford University Press, doi:10.1093/acprof:oso/9780199265176.001.0001.
Shapiro, Stewart, ed. 2005a. The Oxford Handbook of Philosophy of Mathematics and Logic. Oxford Handbooks. Oxford: Oxford University Press, doi:10.1093/0195148770.001.0001.
Shapiro, Stewart. 2005b. “Context, Conversation, and So-Called ‘Higher-Order Vagueness’ .” Proceedings of the Aristotelian Society, Supplementary Volume 79: 147–165.
Shapiro, Stewart. 2005c. “Categories, Structures, and the Frege-Hilbert Controversy: The Status of Meta-Mathematics.” Philosophia Mathematica 13(1): 61–77. Reprinted in Lindström et al. (2009, 435–448).
Shapiro, Stewart. 2005d. “Gurus, Logical Consequence, and Truth Bearers: What Is It that Is True?” in Deflationary Truth, edited by Bradley Armour-Garb and J. C. Beall, pp. 153–169. LaSalle, Illinois: Open Court Publishing Co.
Shapiro, Stewart. 2005e. “Sets and Abstracts – Discussion of Fine (2002).” Philosophical Studies 122(3): 315–332.
Shapiro, Stewart. 2005f. “Philosophy of Mathematics and Its Logic: Introduction.” in The Oxford Handbook of Philosophy of Mathematics and Logic, edited by Stewart Shapiro, pp. 3–27. Oxford Handbooks. Oxford: Oxford University Press, doi:10.1093/0195148770.001.0001.
Shapiro, Stewart. 2005g. “Logical Consequence, Proof Theory, and Model Theory.” in The Oxford Handbook of Philosophy of Mathematics and Logic, edited by Stewart Shapiro, pp. 651–670. Oxford Handbooks. Oxford: Oxford University Press, doi:10.1093/0195148770.001.0001.
Shapiro, Stewart. 2005h. “Higher-Order Logic.” in The Oxford Handbook of Philosophy of Mathematics and Logic, edited by Stewart Shapiro, pp. 751–780. Oxford Handbooks. Oxford: Oxford University Press, doi:10.1093/0195148770.001.0001.
Shapiro, Stewart. 2006a. Vagueness in Context. Oxford: Oxford University Press, doi:10.1093/acprof:oso/9780199280391.001.0001.
Shapiro, Stewart. 2006b. “The Governance of Identity [reply to Keränen (2006)].” in Identity and Modality, edited by Fraser MacBride, pp. 164–173. Mind Association Occasional Series. Oxford: Oxford University Press.
Shapiro, Stewart. 2006c. “Structure and Identity.” in Identity and Modality, edited by Fraser MacBride, pp. 109–145. Mind Association Occasional Series. Oxford: Oxford University Press.
Shapiro, Stewart. 2006d. “Externalism, Anti-Realism, and the KK-Thesis.” in A Logical Approach to Philosophy. Essays in Honour of Graham Solomon, edited by David DeVidi and Timothy Kenyon, pp. 22–35. The University of Western Ontario Series in Philosophy of Science n. 69. Dordrecht: Springer, doi:10.1007/1-4020-4054-7.
Shapiro, Stewart. 2006e. “Effectiveness.” in The Age of Alternative Logics. Assessing Philosophy of Logic and Mathematics Today, edited by Johan van Benthem, Gerhard Heinzmann, Manuel Rebuschi, and Henk Visser, pp. 37–50. Logic, Epistemology, and the Unity of Science n. 3. Dordrecht: Springer.
Shapiro, Stewart. 2006f. “Computability, Proof, and Open-Texture.” in Church’s Thesis After 70 Years, edited by Adam Olszewski, Jan Woleński, and Robert Janusz, pp. 420–455. Ontos Mathematical Logic n. 1. Heusenstamm b. Frankfurt: Ontos Verlag.
Shapiro, Stewart. 2007a. “The Objectivity of Mathematics.” Synthese 156(2): 337–381.
Shapiro, Stewart. 2007b. “Burali-Forti’s Revenge.” in Revenge of the Liar. New Essays on the Paradox, edited by J. C. Beall, pp. 320–344. Oxford: Oxford University Press, doi:10.1093/oso/9780199233915.001.0001.
Shapiro, Stewart. 2008a. “Identity, Indiscernibility, and ante rem Structuralism: The tale of \(i\) and \(-i\).” Philosophia Mathematica 16(3): 285–309.
Shapiro, Stewart. 2008b. “Mathematical Objects.” in Proof and Other Dilemmas: Mathematics and Philosophy, edited by Bonnie Gold and Roger A. Simons, pp. 157–178. Washington, D.C.: Mathematical Association of America.
Shapiro, Stewart. 2008c. “Frege Meets Zermelo: A Perspective on Ineffability and Reflection.” The Review of Symbolic Logic 1(2): 241–266.
Shapiro, Stewart. 2009a. “The Measure of Scottish Neo-Logicism.” in Logicism, Intuitionism, and Formalism. What Has Become of Them?, edited by Sten Lindström, Erik Palmgren, Krister Segerberg, and Viggo Stoltenberg-Hansen, pp. 69–90. Synthese Library n. 341. Dordrecht: Springer.
Shapiro, Stewart. 2009b. “Life on the Ship of Neurath: Mathematics in the Philosophy of Mathematics.” Croatian Journal of Philosophy 9(2): 149–166. Reprinted in Trobok, Miščević and Žarnić (2012, 11–28).
Shapiro, Stewart. 2009c. “We Hold These Truths to Be Self-Evident: But What Do We Mean by That?” The Review of Symbolic Logic 2(1): 175–207.
Shapiro, Stewart. 2009d. “Reference to Indiscernible Objects.” in The Logica Yearbook 2008, edited by Michal Peliš, pp. 223–236. London: College Publications.
Shapiro, Stewart. 2009e. “Classical Logic.” in The Stanford Encyclopedia of Philosophy. Stanford, California: The Metaphysics Research Lab, Center for the Study of Language; Information, https://plato.stanford.edu/archives/win2009/entries/logic-classical/.
Shapiro, Stewart. 2010a. “Vagueness, Metaphysics, and Objectivity.” in Cuts and Clouds. Vagueness, Its Nature, and Its Logic, edited by Richard Dietz and Sebastiano Moruzzi, pp. 149–161. Oxford: Oxford University Press, doi:10.1093/acprof:oso/9780199570386.001.0001.
Shapiro, Stewart. 2010b. “So Truth is Safe from Paradox: Now What?” Philosophical Studies 147(3): 445–455.
Shapiro, Stewart. 2011a. “Truth, Function and Paradox.” Analysis 71(1): 38–44.
Shapiro, Stewart. 2011b. “Varieties of Pluralism and Relativism for Logic.” in A Companion to Relativism, edited by Steven D. Hales, pp. 526–552. Blackwell Companions to Philosophy. Chichester: Wiley-Blackwell, doi:10.1002/9781444392494.
Shapiro, Stewart. 2011c. “Epistemology of Mathematics: What are the Questions? What Count as Answers?” The Philosophical Quarterly 61(242): 130–150.
Shapiro, Stewart. 2011d. “The Company Kept by Cut Abstraction (and its Relatives).” Philosophia Mathematica 19(2): 107–138.
Shapiro, Stewart. 2011e. “Addendum [to Lipton (2011)].” in Meaning in Mathematics, edited by John C. Polkinghorne, pp. 55–60. Oxford: Oxford University Press.
Shapiro, Stewart. 2011f. “Mathematics and Objectivity.” in Meaning in Mathematics, edited by John C. Polkinghorne, pp. 97–108. Oxford: Oxford University Press.
Shapiro, Stewart. 2011g. “Reply [to Rosen (2011)].” in Meaning in Mathematics, edited by John C. Polkinghorne, pp. 112. Oxford: Oxford University Press.
Shapiro, Stewart. 2012a. “Objectivity, Explanation, and Cognitive Shortfall.” in Mind, Meaning, and Knowledge.Themes from the Philosophy of Crispin Wright, volume 1, edited by Annalisa Coliva, pp. 211–237. Oxford: Oxford University Press, doi:10.1093/acprof:oso/9780199278053.001.0001.
Shapiro, Stewart. 2012b. “An ‘I’ for an I: Singular Terms, Uniqueness, and Reference.” The Review of Symbolic Logic 5(3): 380–415.
Shapiro, Stewart. 2012c. “Revising Logic in Light of Paradox.” in Insolubles and Consequences. Essays in Honour of Stephen Read, edited by Catarina Dutilh-Novaes and Ole Thomassen Hjortland. Tributes n. 18. London: King’s College Publications.
Shapiro, Stewart. 2013a. “Classical Logic.” in The Stanford Encyclopedia of Philosophy. Stanford, California: The Metaphysics Research Lab, Center for the Study of Language; Information, https://plato.stanford.edu/archives/fall2013/entries/logic-classical/.
Shapiro, Stewart. 2013b. “Tarski’s Theorem and the Extensionality of Truth.” Erkenntnis 78(5): 1197–1204.
Shapiro, Stewart. 2013c. “The Open Texture of Computability.” in Computability: Turing, Gödel, Church, and Beyond, edited by B. Jack Copeland, Carl J. Posy, and Oron Shagrir, pp. 153–182. Cambridge, Massachusetts: The MIT Press.
Shapiro, Stewart. 2014a. Varieties of Logic. Oxford: Oxford University Press, doi:10.1093/acprof:oso/9780199696529.001.0001.
Shapiro, Stewart. 2014b. “Structures and Logics: A Case for (a) Relativism.” Erkenntnis 79(suppl., 2): 309–329.
Shapiro, Stewart. 2014c. “Vagueness and Abstraction.” in Vague Objects and Vague Identity. New Essays on Ontic Vagueness, edited by Ken Akiba and Ali Abasnezhad, pp. 217–237. Logic, Epistemology, and the Unity of Science n. 33. Cham: Springer.
Shapiro, Stewart. 2014d. “Pluralism, Relativism, and Objectivity.” in The Metaphysics of Logic, edited by Penelope Rush, pp. 49–71. Cambridge: Cambridge University Press, doi:10.1017/cbo9781139626279.
Shapiro, Stewart. 2015. “The Meaning of Logical Terms.” in Foundations of Logical Consequence, edited by Colin R. Caret and Ole Thomassen Hjortland, pp. 186–220. Mind Association Occasional Series. Oxford: Oxford University Press, doi:10.1093/acprof:oso/9780198715696.001.0001.
Shapiro, Stewart. 2016a. “Mathematics in Philosophy, Philosophy in Mathematics: Three Case Studies.” in Objectivity, Realism, and Proof. FilMat Studies in the Philosophy of Mathematics, edited by Francesca Boccuni and Andrea Sereni, pp. 1–12. Boston Studies in the Philosophy and History of Science n. 318. Dordrecht: Springer.
Shapiro, Stewart. 2016b. “What Numbers Could Be; What Objects Could Be.” in Truth, Objects, Infinity. New Perspectives on the Philosophy of Paul Benacerraf, edited by Fabrice Pataut, pp. 177–193. Logic, Epistemology, and the Unity of Science n. 28. Cham: Springer.
Shapiro, Stewart. 2016c. “Philosophy of Mathematics: Issues and Methods.” in The Oxford Handbook of Philosophical Methodology, edited by Herman Cappelen, Tamar Szabó Gendler, and John Hawthorne, pp. 622–640. Oxford Handbooks. Oxford: Oxford University Press, doi:10.1093/oxfordhb/9780199668779.001.0001.
Shapiro, Stewart. 2017. “Computing with Numbers and Other Non-syntactic Things: De re Knowledge of Abstract Objects.” Philosophia Mathematica 25(2): 268–281.
Shapiro, Stewart. 2018a. “Changing the Subject: Quine, Putnam and Waismann on Meaning-Change, Logic, and Analyticity.” in Hilary Putnam on Logic and Mathematics, edited by Geoffrey Hellman and Roy T. Cook, pp. 115–127. Outstanding Contributions to Logic n. 9. Cham: Springer, doi:10.1007/978-3-319-96274-0.
Shapiro, Stewart. 2018b. “Properties and Predicates, Objects and Names: Impredicativity and the Axiom of Choice.” in Being Necessary. Themes of Ontology and Modality from the Work of Bob Hale, edited by Ivette Fred-Rivera and Jessica F. Leech, pp. 92–110. Oxford: Oxford University Press, doi:10.1093/oso/9780198792161.001.0001.
Shapiro, Stewart. 2019. “Inconsistency and Incompleteness, Revisited.” in Graham Priest on Dialetheism and Paraconsistency, edited by Can Başkent and Thomas Macaulay Ferguson, pp. 469–480. Cham: Springer Nature, doi:10.1007/978-3-030-25365-3.
Shapiro, Stewart and Hellman, Geoffrey. 2017. “Frege Meets Aristotle: Points as Abstracts.” Philosophia Mathematica 25(1): 73–90.
Shapiro, Stewart and Hellman, Geoffrey, eds. 2021. The History of Continua. Philosophical and Mathematical Perspectives. Oxford: Oxford University Press, doi:10.1093/oso/9780198809647.001.0001.
Shapiro, Stewart and Kouri Kissel, Teresa. 2018. “Classical Logic.” in The Stanford Encyclopedia of Philosophy. Stanford, California: The Metaphysics Research Lab, Center for the Study of Language; Information, https://plato.stanford.edu/archives/spr2018/entries/logic-classical/.
Shapiro, Stewart and Kouri Kissel, Teresa. 2022. “Classical Logic.” in The Stanford Encyclopedia of Philosophy. Stanford, California: The Metaphysics Research Lab, Center for the Study of Language; Information, https://plato.stanford.edu/archives/fall2022/entries/logic-classical/.
Shapiro, Stewart and Schumm, George F. 1990. “Expressive Completeness and Decidability.” Notre Dame Journal of Formal Logic 31: 576–579.
Shapiro, Stewart and Taschek, William W. 1996. “Intuitionism, Pluralism and Cognitive Command.” The Journal of Philosophy 93: 74–88.
Shapiro, Stewart and Uzquiano, Gabriel. 2016. “Ineffability within the Limits of Abstraction Alone.” in Abstractionism. Essays in Philosophy of Mathematics, edited by Philip A. Ebert and Marcus Rossberg, pp. 283–309. Oxford: Oxford University Press, doi:10.1093/acprof:oso/9780199645268.001.0001.
Shapiro, Stewart and Weir, Alan. 1999. “New V, ZF and Abstraction.” Philosophia Mathematica 7(3): 293–321.
Shapiro, Stewart and Weir, Alan. 2000. “ ‘Neo-Logicist’ Logic is not Epistemically Innocent.” Philosophia Mathematica 8(2): 293–321, doi:10.1093/philmat/8.2.160.
Shapiro, Stewart and Wright, Crispin. 2006. “All Things Indefinitely Extensible.” in Absolute Generality, edited by Agustı́n Rayo and Gabriel Uzquiano, pp. 255–304. Oxford: Oxford University Press.
Snyder, Eric and Shapiro, Stewart. 2019. “Frege on the Real Numbers.” in Essays on Frege’s Basic Laws of Arithmetic, edited by Philip A. Ebert and Marcus Rossberg, pp. 343–383. Oxford: Oxford University Press, doi:10.1093/oso/9780198712084.001.0001.
Snyder, Eric, Shapiro, Stewart and Samuels, Richard. 2018. “Cardinals, Ordinals, and the Prospects for a Fregean Foundation.” in Metaphysics, edited by Anthony O’Hear, pp. 77–107. Royal Institute of Philosophy Supplement n. 82. Cambridge: Cambridge University Press.

Further References

Cook, Roy T., ed. 2007. The Arché Papers on the Mathematics of Abstraction. The University of Western Ontario Series in Philosophy of Science n. 71. Dordrecht: Springer, doi:10.1007/978-1-4020-4265-2.
Field, Hartry. 1980. Science without Numbers: A Defense of Nominalism. Oxford: Oxford University Press. Second edition: Field (2016), doi:10.1093/acprof:oso/9780198777915.001.0001.
Field, Hartry. 2016. Science without Numbers: A Defense of Nominalism. 2nd ed. Oxford: Oxford University Press. First edition: Field (1980), doi:10.1093/acprof:oso/9780198777915.001.0001.
Fine, Kit. 2002. The Limits of Abstraction. Oxford: Oxford University Press, doi:10.1093/oso/9780199246182.001.0001.
Gowers, William Timothy. 2011. “Is Mathematics Discovered or Invented?” in Meaning in Mathematics, edited by John C. Polkinghorne, pp. 3–12. Oxford: Oxford University Press.
Hellman, Geoffrey. 1989. Mathematics without Numbers: Towards a Modal-Structural Interpretation. 11th ed. Oxford: Oxford University Press, doi:10.1093/0198240341.001.0001.
Keefe, Rosanna. 2000. Theories of Vagueness. Cambridge: Cambridge University Press.
Keränen, Jukka. 2006. “The Identity Problem for Realist Structuralism II: A Reply to Shapiro (2006b).” in Identity and Modality, edited by Fraser MacBride, pp. 146–163. Mind Association Occasional Series. Oxford: Oxford University Press.
Lindström, Sten, Palmgren, Erik, Segerberg, Krister and Stoltenberg-Hansen, Viggo, eds. 2009. Logicism, Intuitionism, and Formalism. What Has Become of Them? Synthese Library n. 341. Dordrecht: Springer.
Lipton, Peter. 2011. “Mathematical Understanding.” in Meaning in Mathematics, edited by John C. Polkinghorne, pp. 49–54. Oxford: Oxford University Press.
Richard, Mark. 2008. When Truth Gives Out. Oxford: Oxford University Press, doi:10.1093/acprof:oso/9780199239955.001.0001.
Rosen, Gideon. 2011. “Comment [on Gowers (2011)].” in Meaning in Mathematics, edited by John C. Polkinghorne, pp. 13–16. Oxford: Oxford University Press.
Trobok, Majda, Miščević, Nenad and Žarnić, Berislav. 2012. “Introduction.” in Between Logic and Reality. Modeling Inference, Action and Understanding, edited by Majda Trobok, Nenad Miščević, and Berislav Žarnić, pp. 1–9. Logic, Epistemology, and the Unity of Science n. 25. Dordrecht: Springer, doi:10.1007/978-94-007-2390-0.