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Hilary Putnam on logic and mathematics

edited byGeoffrey Hellman Roy T. Cook(University of Minnesota)

Abstract

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.

Details | Table of Contents

Memories of Hilary Putnam Roy T. Cook(University of Minnesota)Geoffrey Hellman

pp.1-7

https://doi.org/10.1007/978-3-319-96274-0_1

Bibliography of Hilary Putnam's writings in logic and mathematics Roy T. Cook(University of Minnesota)

pp.9-14

https://doi.org/10.1007/978-3-319-96274-0_2

Logic, counterexamples, and translation Roy T. Cook(University of Minnesota)

pp.17-43

https://doi.org/10.1007/978-3-319-96274-0_3

Putnam's theorem on the complexity of models Warren Goldfarb

pp.45-50

https://doi.org/10.1007/978-3-319-96274-0_4

Extendability and paradox Geoffrey Hellman Roy T. Cook(University of Minnesota)

pp.51-73

https://doi.org/10.1007/978-3-319-96274-0_5

The metaphysics of the model-theoretic arguments Kate Hodesdon

pp.75-91

https://doi.org/10.1007/978-3-319-96274-0_6

Normativity and mechanism Timothy McCarthy

pp.93-113

https://doi.org/10.1007/978-3-319-96274-0_7

Changing the subject

Quine, Putnam and Waismann on meaning-change, logic, and analyticity

Stewart Shapiro

pp.115-126

https://doi.org/10.1007/978-3-319-96274-0_8

Putnam on foundations

models, modals, muddles

John P. Burgess

pp.129-143

https://doi.org/10.1007/978-3-319-96274-0_9

Pragmatic platonism Martin Davis

pp.145-159

https://doi.org/10.1007/978-3-319-96274-0_10

Abstraction, axiomatization and rigor

Pasch and Hilbert

Michael Detlefsen

pp.161-178

https://doi.org/10.1007/978-3-319-96274-0_11

Concrete mathematical incompleteness

basic emulation theory

Harvey M. Friedman

pp.179-234

https://doi.org/10.1007/978-3-319-96274-0_12

Putnam's constructivization argument Akihiro Kanamori

pp.235-247

https://doi.org/10.1007/978-3-319-96274-0_13

Putnam on mathematics as modal logic Øystein Linnebo

pp.249-267

https://doi.org/10.1007/978-3-319-96274-0_14

Publication details

Publisher: Springer

Place: Dordrecht

Year: 2018

Pages: 274

Series: Outstanding Contributions to Logic

Series volume: 9

ISBN (hardback): 978-3-319-96273-3

ISBN (digital): 978-3-319-96274-0

Full citation:

Hellman Geoffrey, Cook Roy T. (2018) Hilary Putnam on logic and mathematics. Dordrecht, Springer.