Geoffrey Hellman. Mathematics and Its Logics: Philosophical Essays

Philosophia Mathematica (forthcoming)
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10.1093/philmat/nkac001

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Mathematics and its Logics: Philosophical Essays.Geoffrey Hellman - 2020 - New York, NY: Cambridge University Press.
Review: Geoffrey Hellman, Constructive Mathematics and Quantum Mechanics: Unbounded Operators and the Spectral Theorem; Douglas S. Bridges, Constructive Mathematics and Unbounded Operators -- A Reply to Hellman; Geoffrey Hellman, Quantum Mechanical Unbounded Operators and Constructive Mathematics -- A Rejoinder to Bridges. [REVIEW]Boris A. Kushner - 1999 - Journal of Symbolic Logic 64 (1):397-398.
Mathematics Without Numbers: Towards a Modal-Structural Interpretation.Geoffrey Hellman - 1989 - Oxford, England: Oxford University Press.
What is categorical structuralism?Geoffrey Hellman - 2006 - In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser (eds.), The Age of Alternative Logics. Springer. pp. 151--161.
Constructive mathematics and quantum mechanics: Unbounded operators and the spectral theorem. [REVIEW]Geoffrey Hellman - 1993 - Journal of Philosophical Logic 22 (3):221 - 248.
Maoist mathematics?Geoffrey Hellman - 1998 - Philosophia Mathematica 6 (3):334-345.
Beyond definitionism—but not too far beyond.Geoffrey Hellman - 1998 - In Matthias Schirn (ed.), The Philosophy of Mathematics Today: Papers From a Conference Held in Munich From June 28 to July 4,1993. Oxford, England: Clarendon Press.
Quantum mechanical unbounded operators and constructive mathematics – a rejoinder to bridges.Geoffrey Hellman - 1997 - Journal of Philosophical Logic 26 (2):121-127.
From Constructive to Predicative Mathematics.Geoffrey Hellman - 1997 - In John Earman & John Norton (eds.), The Cosmos of Science. University of Pittsburgh Press. pp. 6--153.
Mathematics without Numbers: Towards a Modal-Structural Interpretation.Bob Hale & Geoffrey Hellman - 1992 - Philosophical Review 101 (4):919.
Extendability and Paradox.Roy Cook & Geoffrey Hellman - 2018 - In Roy Cook & Geoffrey Hellman (eds.), Hilary Putnam on Logic and Mathematics. Springer Verlag.
Mathematics without Numbers. Towards a Modal-Structural Interpretation.Geoffrey Hellman - 1991 - Tijdschrift Voor Filosofie 53 (4):726-727.
Constructive mathematics and unbounded operators — a reply to Hellman.Douglas S. Bridges - 1995 - Journal of Philosophical Logic 24 (5):549 - 561.
Logic, Philosophy of Mathematics, and their History: Essays in Honor W.W. Tait.Reck Erich (ed.) - 2018 - London, UK: College Publications.
Geoffrey Hellman. Constructive mathematics and quantum mechanics: unbounded operators and the spectral theorem. Journal of philosophical logic, vol. 22 , pp. 221–248. [REVIEW]Boris A. Kushner - 1999 - Journal of Symbolic Logic 64 (1):397-398.

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The iterative conception of set.George Boolos - 1971 - Journal of Philosophy 68 (8):215-231.
Large cardinals beyond choice.Joan Bagaria, Peter Koellner & W. Hugh Woodin - 2019 - Bulletin of Symbolic Logic 25 (3):283-318.

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