Geoffrey Hellman (hellman-g)
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Bibliography
Cook, Roy T. and Hellman, Geoffrey. 2018. “Memories of Hilary Putnam.” in Hilary Putnam on Logic and Mathematics, edited by Geoffrey Hellman and Roy T. Cook, pp. 1–8. Outstanding Contributions to Logic n. 9. Cham: Springer, doi:10.1007/978-3-319-96274-0.
Dunn, Michael J. and Hellman, Geoffrey. 1986. “Dualling: A Critique of an Argument of Popper and Miller.” The British Journal for the Philosophy of Science 37: 220–223.
Feferman, Solomon and Hellman, Geoffrey. 1996. “Predicative Foundations of Arithmetic.” The Journal of Philosophical Logic 25(1): 1–17.
Feferman, Solomon and Hellman, Geoffrey. 2000. “Challenges to Predicative Foundations of Arithmetic.” in Between Logic and Intuition: Essays in Honor of Charles Parsons, edited by Gila Y. Sher and Richard Tieszen, pp. 317–338. Cambridge: Cambridge University Press.
Healey, Richard A. and Hellman, Geoffrey, eds. 1998. Minnesota Studies in the Philosophy of Science, Volume XVII: Quantum Measurement: Beyond Paradox. Minneapolis, Minnesota: University of Minnesota Press.
Hellman, Geoffrey. 1969. “Finitude, Infinitude, and Isomorphism of Interpretations in Some Nominalistic Calculi.” Noûs 3: 413–425.
Hellman, Geoffrey. 1981a. “How to Goedel a Frege-Russell: Goedel’s Incompleteness Theorems and Logicism.” Noûs 15: 451–468.
Hellman, Geoffrey. 1981b. “Stochastic Einstein-Locality and the Bell Theorem.” Unpublished manuscript, Indiana University.
Hellman, Geoffrey. 1981c. “Types of Hidden-Variable Theories for Quantum Mechanics and the Nonexistence Proofs.” Unpublished manuscript, Indiana University.
Hellman, Geoffrey. 1981d. “A Modal Derivation of Bell’s Theorem.” Unpublished manuscript, Indiana University.
Hellman, Geoffrey. 1981e. “Randomness and Reality.” in PSA 1978: Proceedings of the Biennial Meeting of the Philosophy of Science Association, Part II: Symposium Papers, edited by Peter D. Asquith and Ian Hacking, pp. 79–97. East Lansing, Michigan: Philosophy of Science Association.
Hellman, Geoffrey. 1981f. “Quantum Logic and Meaning.” in PSA 1980: Proceedings of the Biennial Meeting of the Philosophy of Science Association, Part II: Symposium Papers, edited by Peter D. Asquith and Ronald N. Giere, pp. 493–511. East Lansing, Michigan: Philosophy of Science Association.
Hellman, Geoffrey. 1983a. “Realist Principles.” Philosophy of Science 50: 227–249.
Hellman, Geoffrey. 1983b. “Stochastic Locality and the Bell Theorems.” in PSA 1982: Proceedings of the Biennial Meeting of the Philosophy of Science Association, Part II: Symposia and Invited Papers, edited by Peter D. Asquith and Thomas Nickles, pp. 601–615. East Lansing, Michigan: Philosophy of Science Association.
Hellman, Geoffrey. 1985. “Determination and Logical Truth.” The Journal of Philosophy 82(11): 607–616.
Hellman, Geoffrey. 1986. “Logical Truth by Linguistic Convention.” in The Philosophy of W.V. Quine, edited by Lewis Edwin Hahn and Paul Arthur Schilpp, pp. 189–205. The Library of Living Philosophers n. 18. LaSalle, Illinois: Open Court Publishing Co.
Hellman, Geoffrey. 1989a. Mathematics without Numbers: Towards a Modal-Structural Interpretation. 11th ed. Oxford: Oxford University Press, doi:10.1093/0198240341.001.0001.
Hellman, Geoffrey. 1989b. “Never say ‘Never’! On the Communication Problem between Intuitionism and Classicism.” Philosophical Topics 17(2): 47–67, doi:10.5840/philtopics19891723.
Hellman, Geoffrey. 1989c. “The Many Worlds Interpretation of Set Theory.” in PSA 1988: Proceedings of the Biennial Meeting of the Philosophy of Science Association, Part II: Symposium Papers, edited by Arthur I. Fine and Jarrett Leplin, pp. 445–455. East Lansing, Michigan: Philosophy of Science Association.
Hellman, Geoffrey. 1990a. “Towards a Modal-Structural Interpretation of Set Theory.” Synthese 84(3): 409–443.
Hellman, Geoffrey. 1990b. “Modal-Structural Mathematics.” in Physicalism in Mathematics, edited by Andrew David Irvine, pp. 307–330. The University of Western Ontario Series in Philosophy of Science n. 45. Dordrecht: Kluwer Academic Publishers, doi:10.1007/978-94-009-1902-0.
Hellman, Geoffrey. 1992a. “Supervenience/Determination a Two-Way Street? Yes, but One of the Ways is the Wrong Way!” The Journal of Philosophy 89: 42–47.
Hellman, Geoffrey. 1992b. “Constructivist Mathematics, Quantum Physics and Quantifiers.” Proceedings of the Aristotelian Society, Supplementary Volume 66: 61–77.
Hellman, Geoffrey. 1993a. “On the Scope and Force of Indispensability Arguments.” in PSA 1992: Proceedings of the Biennial Meeting of the Philosophy of Science Association, Part II: Symposium Papers, edited by David L. Hull, Micky Forbes, and Kathleen Okruhlik, pp. 456–464. East Lansing, Michigan: Philosophy of Science Association.
Hellman, Geoffrey. 1993b. “Gleason’s Theorem is Not Constructively Provable.” The Journal of Philosophical Logic 22(3): 193–203.
Hellman, Geoffrey. 1993c. “Constructive Mathematics and Quantum Mechanics: Unbounded Operators and the Spectral Theorem.” The Journal of Philosophical Logic 22(3): 221–248.
Hellman, Geoffrey. 1993d. “Review of Chihara (1990).” Philosophia Mathematica 1(1): 75–88.
Hellman, Geoffrey. 1994. “Real Analysis without Classes.” Philosophia Mathematica 2(3): 228–250.
Hellman, Geoffrey. 1996. “Structuralism without Structures.” Philosophia Mathematica 4(2): 100–123.
Hellman, Geoffrey. 1997a. “Quantum Mechanical Unbounded Operators and Constructive Mathematics – A Rejoinder to Bridges (1995).” The Journal of Philosophical Logic 26(2): 121–127.
Hellman, Geoffrey. 1997b. “From Constructive to Predictive Mathematics.” in The Cosmos of Science: Essays of Exploration, edited by John S. Earman and John D. Norton, pp. 153–179. Pittsburgh, Pennsylvania: University of Pittsburgh Press.
Hellman, Geoffrey. 1998a. “Beyond Definitionism – But Not Too Far Beyond.” in The Philosophy of Mathematics Today, edited by Matthias Schirn, pp. 215–226. Oxford: Oxford University Press, doi:10.1093/oso/9780198236542.001.0001.
Hellman, Geoffrey. 1998b. “Mathematical Constructivism in Spacetime.” The British Journal for the Philosophy of Science 49: 425–450.
Hellman, Geoffrey. 1998c. “Maoist Mathematics?” Philosophia Mathematica 6(3): 334–345, doi:10.1093/philmat/6.3.334.
Hellman, Geoffrey. 1999. “Some Ins and Outs of Indispensability: A Modal-Structural Perspective.” in Logic and Foundation of Mathematics, edited by Andrea Cantini, Ettore Casari, and Pierluigi Minari, pp. 25–40. Synthese Library n. 280. Dordrecht: Kluwer Academic Publishers.
Hellman, Geoffrey. 2001a. “On Nominalism.” Philosophy and Phenomenological Research 62(3): 691–705.
Hellman, Geoffrey. 2001b. “Three Varieties of Mathematical Structuralism.” Philosophia Mathematica 9(2): 184–211.
Hellman, Geoffrey. 2003. “Does Category Theory Provide a Framework for Mathematical Structuralism?” Philosophia Mathematica 11(2): 129–157.
Hellman, Geoffrey. 2004. “Russell’s Absolutism vs. (?) Structuralism.” in One Hundred Years of Russell’s Paradox. Mathematics, Logic, Philosophy, edited by Godehard Link, pp. 561–576. de Gruyter Series in Logic and Its Applications n. 6. Berlin: de Gruyter.
Hellman, Geoffrey. 2005a. “Structuralism.” in The Oxford Handbook of Philosophy of Mathematics and Logic, edited by Stewart Shapiro, pp. 536–562. Oxford Handbooks. Oxford: Oxford University Press, doi:10.1093/0195148770.001.0001.
Hellman, Geoffrey. 2005b. “Structuralism, Mathematical.” in The Encyclopedia of Philosophy, edited by Donald M. Borchert, 2nd ed. Basingstoke, Hampshire: Palgrave Macmillan.
Hellman, Geoffrey. 2006a. “Against ‘Absolutely Everything’!” in Absolute Generality, edited by Agustı́n Rayo and Gabriel Uzquiano, pp. 75–97. Oxford: Oxford University Press.
Hellman, Geoffrey. 2006b. “What is Categorical Structuralism?” 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. 151–162. Logic, Epistemology, and the Unity of Science n. 3. Dordrecht: Springer.
Hellman, Geoffrey. 2009. “Interpretations of Probability in Quantum Mechanics: A Case of ‘Experimental Metaphysics’ .” in Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle. Essays in Honour of Abner Shimony, edited by Wayne C. Myrvold and Joy Christian, pp. 211–228. The University of Western Ontario Series in Philosophy of Science n. 72. Dordrecht: Springer.
Hellman, Geoffrey. 2011. “On the Significance of the Burali-Forti Paradox.” Analysis 71(4): 631–637.
Hellman, Geoffrey. 2015. “Infinite Possibilities and Possibilities of Infinity.” in The Philosophy of Hilary Putnam, edited by Randall E. Auxier, Douglas R. Anderson, and Lewis Edwin Hahn, pp. 259–278. The Library of Living Philosophers n. 34. LaSalle, Illinois: Open Court Publishing Co.
Hellman, Geoffrey. 2017. “Philosophy of Mathematics.” in Handbook of Mereology, edited by Hans Burkhardt, Johanna Seibt, Guido Imaguire, and Stamatios Gerogiorgakis, pp. 412–424. Analytica: Investigations in Logic, Ontology, and the Philosophy of Language. München: Philosophia Verlag, doi:10.2307/j.ctv2nrzj8n.
Hellman, Geoffrey. 2021. Mathematics and Its Logics: Philosophical Essays. Cambridge: Cambridge University Press, doi:10.1017/9781108657419.
Hellman, Geoffrey and Bell, John L. 2006. “Pluralism and the Foundations of Mathematics.” in Minnesota Studies in the Philosophy of Science, Volume XIX: Scientific Pluralism, edited by Stephen H. Kellert, Helen E. Longino, and Kenneth C. Waters, pp. 64–79. Minneapolis, Minnesota: University of Minnesota Press.
Hellman, Geoffrey and Cook, Roy T., eds. 2018a. Hilary Putnam on Logic and Mathematics. Outstanding Contributions to Logic n. 9. Cham: Springer, doi:10.1007/978-3-319-96274-0.
Hellman, Geoffrey and Cook, Roy T. 2018b. “Extendability and Paradox.” in Hilary Putnam on Logic and Mathematics, edited by Geoffrey Hellman and Roy T. Cook, pp. 51–74. Outstanding Contributions to Logic n. 9. Cham: Springer, doi:10.1007/978-3-319-96274-0.
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.
Hellman, Geoffrey and Thompson, F. W. 1975. “Physicalism: Ontology, Determination, and Reduction.” The Journal of Philosophy 72: 551–564.
Linnebo, Øystein, Shapiro, Stewart and Hellman, Geoffrey. 2016. “Aristotelian Continua.” Philosophia Mathematica 24(2): 214–246.
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.
Further References
Bridges, Douglas S. 1995. “Constructive Mathematics and Unbounded Operators – A Reply to Hellman (1993c).” The Journal of Philosophical Logic 24(5): 549–561.
Chihara, Charles S. 1990. Constructibility and Mathematical Existence. Oxford: Oxford University Press, doi:10.1093/0198239750.001.0001.