Geoffrey Hellman
Geoffrey Hellman is an American professor and philosopher. He is Professor of Philosophy at the University of Minnesota in Minneapolis, Minnesota. He obtained his B.A. and Ph.D. degrees in philosophy from Harvard University. He was elected to the American Academy of Arts and Sciences in 2007.
Books
- Hellman, Geoffrey. Mathematics without Numbers. Towards a Modal-Structural Interpretation. The Clarendon Press, Oxford University Press, New York, 1989.
- Mathematics and Its Logics: Philosophical Essays.
- Mathematical Structuralism, with Stewart Shapiro.
- Varieties of Continua: From Regions to Points and Back, with Stewart Shapiro.
- Hilary Putnam on Mathematics and Logic, coedited with Roy Cook.
- Quantum Measurement: Beyond Paradox, Minnesota Studies in Philosophy of Science co-edited with Richard Healey.
Selected works
- “Extending the Iterative Conception of Set: a Height-Potentialist Perspective”, in Mathematics and Its Logics: Philosophical Essays.
- “On the Gödel-Friedman Program”, in Mathematics and Its Logics: Philosophical Essays .
- “If ‘If-Then’ Then What?”, in Mathematics and Its Logics: Philosophical Essays.
- ”Extendability and Paradox”, in Putnam on Mathematics and Logic, eds. Roy Cook and Geoffrey Hellman.
- Predicativity and Regions-based Continua, in a volume of essays honoring Solomon Feferman, Feferman on Logic and Foundations eds. Wilfried Sieg and Gerhard Jaeger.
- “Reflections on Reflection in a Multiverse” in a Festschrift in honor of W.W. Tait, Erich Reck ed. .
- ”Carnap* Replies” Monist 101 : 388-393.
- Hellman, Geoffrey Constructive Mathematics and Quantum Mechanics: Unbounded Operators and the Spectral Theorem, Journal of Philosophical Logic 12, 221-248.
- Feferman, Solomon; Hellman, Geoffrey Predicative foundations of arithmetic. J. Philos. Logic 24, no. 1, 1--17.
- Hellman, Geoffrey Bayes and beyond. Philos. Sci. 64, no. 2, 191–221.
- Hellman, Geoffrey Mathematical constructivism in spacetime. British J. Philos. Sci. 49, no. 3, 425–450.
- Feferman, Solomon; Hellman, Geoffrey "Challenges to predicative foundations of arithmetic" in G. Sher and R. Tieszen, eds.Between logic and Intuition, 317–338, Cambridge Univ. Press, Cambridge.