Geoffrey Hellman (born August 16, 1943) is an American professor and philosopher. He is Professor of Philosophy at the

University of Minnesota The University of Minnesota, formally the University of Minnesota, Twin Cities, (UMN Twin Cities, the U of M, or Minnesota) is a public university, public Land-grant university, land-grant research university in the Minneapolis–Saint Paul, Tw ...

in Minneapolis, Minnesota. He obtained his B.A. (1965) and Ph.D. (1972) degrees in philosophy from

Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of high ...

. He was elected to the

American Academy of Arts and Sciences The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, ...

in 2007.

Books

*Hellman, Geoffrey (1989). ''Mathematics without Numbers. Towards a Modal-Structural Interpretation''. The Clarendon Press, Oxford University Press, New York, 1989. *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

* “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

External links

Academic profile: University of Minnesota
{{DEFAULTSORT:Hellman, Geoffrey University of Minnesota faculty Philosophers of science Philosophers of mathematics Living people 20th-century American philosophers Harvard University alumni 1943 births