Geoffrey Hellman

Photo of Geoffrey Hellman

Contact Me

hellm001@umn.edu
612-625-8201

Philosophy
873 HellerH

271 19th Ave S

Educational Background & Specialties

Specialties

  • aesthetics
  • Bayesian confirmation
  • Bishop's constructivism
  • experimental metaphysics
  • intuitionism
  • philosophy of mathematics and logic
  • philosophy of natural science
  • predicativism
  • quantum measurement problem
  • scope and limits of nominalism
  • significance of the Bell results in the foundations of quantum mechanics
  • varieties of constructive mathematics
  • mathematical structuralism
Courses Taught
  • Philosophy of Mathematics
  • Philosophy of Physics
  • Philosophy of Science
  • Logic
  • Philosophy of Logic
  • Epistemology
  • Musical Aesthetics
Research & Professional Activities

Professional Activities

  • Reviews Editor: Bulletin of Symbolic Logic
  • Editorial Board: Philosophy of Science
  • Editorial Board: Philosophia Mathematica
Publications
  • Mathematics without Numbers: Towards a Modal-Structural Interpretation. Hellman, Geoffrey, Oxford University Press, 1989.
  • Predicative Foundations of Arithematic. Hellman, Geoffrey, Solomon Feferman, 1995.
  • Structuralism without Structures: Hellman, Geoffrey, Philosophical Mathematica, 4 , 1996.
  • Mathematical Constructivism in Spacetime: Hellman, Geoffrey, British Journal for the Philosophy of Science, 49 , 1998.
  • Does Category Theory Provide a Framework for Mathematical Structuralism?: Hellman, Geoffrey, Philosophia Mathematica, 11(2) 129-157, 2003.
  • Maximality vs Extendability: Reflections on Structuralism and Set Theory: Hellman, Geoffrey, D. Malament, Reading Natural Philosophy, 335-361, 2000.
  • Quantum Measurement: Beyond Paradox. Hellman, Geoffrey, Richard Healey, University of Minnesota Press, 1998.
  • Bell-Type Inequalities in the Nonideal Case: Proof of a Conjecture of Bell: Hellman, Geoffrey, Foundations of Physics, 22(6) 807-817, 1992.
Awards
  • Scholar of the College (College of Liberal Arts), 2003
  • National Science Foundation Scholars Award, "Pluralism in the Foundations of Mathematics", June 2004 - June 2005
  • American Academy of Arts and Sciences, 2007