Geoffrey Hellman

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.

Geoffrey Hellman
Born (1943-08-16) August 16, 1943
Alma materHarvard University
EraContemporary philosophy
RegionWestern philosophy
SchoolAnalytic philosophy
Main interests
Philosophy of mathematics
Notable ideas
Mathematical structuralism (modal variety)[1]

Books

  • Hellman, Geoffrey (1989). Mathematics without Numbers. Towards a Modal-Structural Interpretation. The Clarendon Press, Oxford University Press, New York, 1989.[4]

Selected works

  • 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. Between logic and intuition, 317–338, Cambridge Univ. Press, Cambridge.

See also

  • Criticism of non-standard analysis

Notes

  1. Stewart Shapiro, "Mathematical Structuralism", Philosophia Mathematica, 4(2), May 1996, pp. 81–2.
  2. "Curriculum Vitae, Geoffrey Hellman" (PDF). University of Minnesota. Retrieved 29 October 2018.
  3. University of Minnesota department page
  4. Hellman, Geoffrey (1989). Mathematics without Numbers: Towards a Modal-Structural Interpretation. Clarendon Press. ISBN 978-0-19-824034-1. Retrieved September 6, 2011.
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