Hellman, Geoffrey (1989). Mathematics without Numbers. Towards a Modal-Structural Interpretation. The Clarendon Press, Oxford University Press, New York, 1989.[4]
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 (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
^Stewart Shapiro, "Mathematical Structuralism", Philosophia Mathematica, 4(2), May 1996, pp. 81–2.
Hellman, Geoffrey (1989). Mathematics without Numbers. Towards a Modal-Structural Interpretation. The Clarendon Press, Oxford University Press, New York, 1989.[4]
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 (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
^Stewart Shapiro, "Mathematical Structuralism", Philosophia Mathematica, 4(2), May 1996, pp. 81–2.