Geoffrey Hellman

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

Publications

• Mathematics without Numbers: Towards a Modal-Structural Interpretation. Oxford University Press, Hellman, Geoffrey, 1989.
• 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: D. Malament, Hellman, Geoffrey, Reading Natural Philosophy, 335-361, 2000.
• Quantum Measurement: Beyond Paradox. Richard Healey, University of Minnesota Press, Hellman, Geoffrey, 1998.
• Bell-Type Inequalities in the Nonideal Case: Proof of a Conjecture of Bell: Hellman, Geoffrey, Foundations of Physics, 22(6), 807-817, 1992.

Activities

Awards

• Scholar of the College (College of Liberal Arts), 2003 - none
• National Science Foundation Scholars Award, "Pluralism in the Foundations of Mathematics", June 2004 - June 2005
• American Academy of Arts and Sciences, 2007 - none

Courses

• Philosophy of Mathematics
• Philosophy of Physics
• Philosophy of Science
• Logic
• Philosophy of Logic
• Epistemology
• Musical Aesthetics