Geoffrey Hellman
Geoffrey Hellman | |
|---|---|
| Born | August 16, 1943 |
| Alma mater | Harvard University |
| Era | Contemporary philosophy |
| Region | Western philosophy |
| School | Analytic philosophy |
Main interests | Philosophy of mathematics |
Notable ideas | Mathematical structuralism (modal variety)[1] |
Geoffrey Hellman (born August 16, 1943[2]) is an American professor and philosopher. He is Professor of Philosophy at the University of Minnesota in Minneapolis, Minnesota.[3] He obtained his B.A. (1965) and Ph.D. (1972) degrees in philosophy from Harvard University. He was elected to the American Academy of Arts and Sciences in 2007.
Books
[edit]- Hellman, Geoffrey (1989). Mathematics without Numbers. Towards a Modal-Structural Interpretation. The Clarendon Press, Oxford University Press, New York, 1989.[4]
- Mathematics and Its Logics: Philosophical Essays (Cambridge University Press, 2021).
- Mathematical Structuralism, with Stewart Shapiro (Cambridge University Press, 2019).
- Varieties of Continua: From Regions to Points and Back, with Stewart Shapiro (Oxford University Press, 2018).
- Hilary Putnam on Mathematics and Logic, coedited with Roy Cook (Springer Verlag, 2018).
- Quantum Measurement: Beyond Paradox, Minnesota Studies in Philosophy of Science (University of Minnesota Press, 1998) co-edited with Richard Healey.
Selected works
[edit]- “Extending the Iterative Conception of Set: a Height-Potentialist Perspective”, in Mathematics and Its Logics: Philosophical Essays (op. cit).
- “On the Gödel-Friedman Program”, in Mathematics and Its Logics: Philosophical Essays (op. cit).
- “If ‘If-Then’ Then What?”, in Mathematics and Its Logics: Philosophical Essays (op. cit).
- ”Extendability and Paradox” (with Roy Cook), in Putnam on Mathematics and Logic, eds. Roy Cook and Geoffrey Hellman (Springer Verlag, 2018).
- Predicativity and Regions-based Continua (with Stewart Shapiro), in a volume of essays honoring Solomon Feferman, Feferman on Logic and Foundations eds. Wilfried Sieg and Gerhard Jaeger (Springer Verlag, 2018).
- “Reflections on Reflection in a Multiverse” in a Festschrift in honor of W.W. Tait, Erich Reck ed. (College Publications, London, 2018).
- ”Carnap* Replies” Monist 101 (2018): 388-393.
- Hellman, Geoffrey (1993) Constructive Mathematics and Quantum Mechanics: Unbounded Operators and the Spectral Theorem, Journal of Philosophical Logic 12, 221-248.
- Feferman, Solomon; Hellman, Geoffrey (1995) Predicative foundations of arithmetic. J. Philos. Logic 24, no. 1, 1--17.
- Hellman, Geoffrey (1997) Bayes and beyond. Philos. Sci. 64, no. 2, 191–221.
- Hellman, Geoffrey (1998) Mathematical constructivism in spacetime. British J. Philos. Sci. 49, no. 3, 425–450.
- Feferman, Solomon; Hellman, Geoffrey (2000) "Challenges to predicative foundations of arithmetic" in G. Sher and R. Tieszen, eds.Between logic and Intuition, 317–338, Cambridge Univ. Press, Cambridge.
Notes
[edit]- ^ Stewart Shapiro, "Mathematical Structuralism", Philosophia Mathematica, 4(2), May 1996, pp. 81–2.
- ^ "Curriculum Vitae, Geoffrey Hellman" (PDF). University of Minnesota. Archived from the original (PDF) on 29 October 2018. Retrieved 29 October 2018.
- ^ University of Minnesota department page
- ^ Hellman, Geoffrey (1989). Mathematics without Numbers: Towards a Modal-Structural Interpretation. Clarendon Press. ISBN 978-0-19-824034-1. Retrieved September 6, 2011.
