Hilary Putnam on Logic and Mathematics
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This book explores the research of Professor Hilary Putnam, a Harvard professor as well as a leading philosopher, mathematician and computer scientist. It features the work of distinguished scholars in the field as well as a selection of young academics who have studied topics closely connected to Putnam’s work. It includes 12 papers that analyze, develop, and constructively criticize this notable professor's research in mathematical logic, the philosophy of logic and the philosophy of mathematics. In addition, it features a short essay presenting reminiscences and anecdotes about Putnam from his friends and colleagues, and also includes an extensive bibliography of his work in mathematics and logic. The book offers readers a comprehensive review of outstanding contributions in logic and mathematics as well as an engaging dialogue between prominent scholars and researchers. It provides those interested in mathematical logic, the philosophy of logic, and the philosophy of mathematics unique insights into the work of Hilary Putnam. Front Matter ....Pages i-x Memories of Hilary Putnam (Roy T. Cook, Geoffrey Hellman)....Pages 1-7 Bibliography of Hilary Putnam’s Writings in Logic and Mathematics (Roy T. Cook)....Pages 9-14 Front Matter ....Pages 15-15 Logic, Counterexamples, and Translation (Roy T. Cook)....Pages 17-43 Putnam’s Theorem on the Complexity of Models (Warren Goldfarb)....Pages 45-50 Extendability and Paradox (Geoffrey Hellman, Roy T. Cook)....Pages 51-73 The Metaphysics of the Model-Theoretic Arguments (Kate Hodesdon)....Pages 75-91 Normativity and Mechanism (Timothy McCarthy)....Pages 93-113 Changing the Subject: Quine, Putnam and Waismann on Meaning-Change, Logic, and Analyticity (Stewart Shapiro)....Pages 115-126 Front Matter ....Pages 127-127 Putnam on Foundations: Models, Modals, Muddles (John P. Burgess)....Pages 129-143 Pragmatic Platonism (Martin Davis)....Pages 145-159 Abstraction, Axiomatization and Rigor: Pasch and Hilbert (Michael Detlefsen)....Pages 161-178 Concrete Mathematical Incompleteness: Basic Emulation Theory (Harvey M. Friedman)....Pages 179-234 Putnam’s Constructivization Argument (Akihiro Kanamori)....Pages 235-247 Putnam on Mathematics as Modal Logic (Øystein Linnebo)....Pages 249-267 Back Matter ....Pages 269-274
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