Hilary Putnam on Logic and Mathematics

Geoffrey Hellman is Professor of Philosophy at the University of Minnesota - Twin Cities and Resident Fellow of the Minnesota Center for Philosophy of Science. He is the author of Mathematics Without Numbers: Towards a Modal-Structural Interpretation (Oxford 1989) and co-editor (with Richard Healey) of Quantum Measurement: Beyond Paradox (Minnesota Studies in Philosophy of Science 17, University of Minnesota Press, 1998). A member of the American Academy of Arts and Sciences, he has published widely on the philosophy of mathematics, the philosophy of logic, the foundations of quantum mechanics, and general topics in philosophy of science.

Roy T. Cook is Professor of Philosophy at the University of Minnesota - Twin Cities, and Resident Fellow of the Minnesota Center for Philosophy of Science. He is the author of The Yablo Paradox: An Essay on Circularity (Oxford 2014), Key Concepts in Philosophy: Paradoxes (Polity 2013), and The Dictionaryof Philosophical Logic (Edinburgh UP: 2009), and is the editor or co-editor of The Routledge Companion to Comics and Graphic Novels (with Aaron Meskin and Frank Bramlett, Routledge: forthcoming), The Art of Comics: A Philosophical Approach (with Aaron Meskin, Blackwell: 2012), and The Arché Papers on the Mathematics of Abstraction (Springer: 2007). He has published extensively on topics, including the philosophy of logic, the philosophy of mathematics and the aesthetics of popular art.