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© 2018

Hilary Putnam on Logic and Mathematics

  • Geoffrey Hellman
  • Roy T. Cook

Benefits

  • Presents a unique collection of papers on the important and extensive contribution of Professor Hilary Putnam, a Harvard professor and a leading philosopher, mathematician and computer scientist

  • Includes responses to the essays by Putnam himself as well as two new pieces by Putnam on mathematics and modality

  • Features the work of distinguished scholars as well as a selection of young academics who have worked on topics closely connected to Putnam’s work

Book

Part of the Outstanding Contributions to Logic book series (OCTR, volume 9)

Table of contents

  1. Front Matter
    Pages i-x
  2. Roy T. Cook, Geoffrey Hellman
    Pages 1-7
  3. Logic and the Philosophy of Logic

    1. Front Matter
      Pages 15-15
    2. Roy T. Cook
      Pages 17-43
    3. Geoffrey Hellman, Roy T. Cook
      Pages 51-73
    4. Timothy McCarthy
      Pages 93-113
  4. Mathematics, Foundations, and Philosophy of Mathematics

    1. Front Matter
      Pages 127-127
    2. John P. Burgess
      Pages 129-143
    3. Martin Davis
      Pages 145-159
    4. Akihiro Kanamori
      Pages 235-247
    5. Øystein Linnebo
      Pages 249-267
  5. Back Matter
    Pages 269-274

About this book

Introduction

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.

Keywords

Diophantine Equations Mathematical Logic Quantum Logic Decidability Number Theory Modal Logic Model Theory Structuralism Foundations of Mathematics Hilary Putnam

Editors and affiliations

  • Geoffrey Hellman
    • 1
  • Roy T. Cook
    • 2
  1. 1.Department of PhilosophyUniversity of Minnesota Twin CitiesMinneapolisUSA
  2. 2.Department of PhilosophyUniversity of Minnesota Twin CitiesMinneapolisUSA

About the editors

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 Dictionary of 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.

Bibliographic information

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