Hilary Putnam on Logic and Mathematics
Hilary Putnam on Logic and Mathematics

Author: Geoffrey Hellman

Publisher: Springer

Published: 2018-12-06

Total Pages: 274

ISBN-13: 3319962744

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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.

Philosophy of Logic (Routledge Revivals)
Philosophy of Logic (Routledge Revivals)

Author: Hilary Putnam

Publisher: Routledge

Published: 2014-04-04

Total Pages: 86

ISBN-13: 1317832582

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First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not reference to these abstract entities is really indispensible in logic and whether it is necessary in physical science in general.

Philosophy in an Age of Science
Philosophy in an Age of Science

Author: Hilary Putnam

Publisher: Harvard University Press

Published: 2012-04-17

Total Pages: 672

ISBN-13: 0674050134

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Hilary Putnam's unceasing self-criticism has led to the frequent changes of mind he is famous for, but his thinking is also marked by considerable continuity. A simultaneous interest in science and ethicsÑunusual in the current climate of contentionÑhas long characterized his thought. In Philosophy in an Age of Science, Putnam collects his papers for publicationÑhis first volume in almost two decades. Mario De Caro and David Macarthur's introduction identifies central themes to help the reader negotiate between Putnam past and Putnam present: his critique of logical positivism; his enduring aspiration to be realist about rational normativity; his anti-essentialism about a range of central philosophical notions; his reconciliation of the scientific worldview and the humanistic tradition; and his movement from reductive scientific naturalism to liberal naturalism. Putnam returns here to some of his first enthusiasms in philosophy, such as logic, mathematics, and quantum mechanics. The reader is given a glimpse, too, of ideas currently in development on the subject of perception. Putnam's work, contributing to a broad range of philosophical inquiry, has been said to represent a Òhistory of recent philosophy in outline.Ó Here it also delineates a possible future.

Philosophy of Mathematics
Philosophy of Mathematics

Author: Paul Benacerraf

Publisher: Cambridge University Press

Published: 1984-01-27

Total Pages: 604

ISBN-13: 1107268133

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The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

The Philosophy of Hilary Putnam
The Philosophy of Hilary Putnam

Author: Randall E. Auxier

Publisher: Open Court

Published: 2015-05-18

Total Pages: 975

ISBN-13: 0812698983

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Hilary Putnam, who turned 88 in 2014, is one of the world’s greatest living philosophers. He currently holds the position of Cogan University Professor Emeritus of Harvard. He has been called “one of the 20th century’s true philosophic giants” (by Malcolm Thorndike Nicholson in Prospect magazine in 2013). He has been very influential in several different areas of philosophy: philosophy of mathematics, philosophy of language, philosophy of mind, and philosophy of science. This volume in the prestigious Library of Living Philosophers series contains 26 chapters original to this work, each written by a well-known philosopher, including the late Richard Rorty and the late Michael Dummett. The volume also includes Putnam’s reply to each of the 26 critical and descriptive essays, which cover the broad range of Putnam’s thought. They are organized thematically into the following parts: Philosophy and Mathematics, Logic and Language, Knowing and Being, Philosophy of Practice, and Elements of Pragmatism. Readers will also appreciate the extensive Intellectual Autobiography.

Kurt Gödel and the Foundations of Mathematics
Kurt Gödel and the Foundations of Mathematics

Author: Matthias Baaz

Publisher: Cambridge University Press

Published: 2011-06-06

Total Pages: 541

ISBN-13: 1139498436

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This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.

Representation and Reality
Representation and Reality

Author: Hilary Putnam

Publisher: MIT Press

Published: 1988

Total Pages: 166

ISBN-13: 9780262660747

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The author, one of the first philosophers to advance the notion that the computer is an apt model for the mind, takes a radical view of his own theory of functionalism in this book.

Reason, Truth and History
Reason, Truth and History

Author: Hilary Putnam

Publisher: Cambridge University Press

Published: 1981-12-31

Total Pages: 244

ISBN-13: 1139935666

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Hilary Putnam deals in this book with some of the most fundamental persistent problems in philosophy: the nature of truth, knowledge and rationality. His aim is to break down the fixed categories of thought which have always appeared to define and constrain the permissible solutions to these problems.

Words and Life
Words and Life

Author: Hilary Putnam

Publisher: Harvard University Press

Published: 1994

Total Pages: 614

ISBN-13: 9780674956070

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Putnam offers a sweeping account of the sources of several central problems of philosophy. A unifying theme of the volume is that reductionism, scientism, and old-style disenchanted naturalism tend to be obstacles to philosophical progress.

Hilary Putnam
Hilary Putnam

Author: Maximilian De Gaynesford

Publisher: Routledge

Published: 2014-12-18

Total Pages: 244

ISBN-13: 1317494091

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Putnam is one of the most influential philosophers of recent times, and his authority stretches far beyond the confines of the discipline. However, there is a considerable challenge in presenting his work both accurately and accessibly. This is due to the width and diversity of his published writings and to his frequent spells of radical re-thinking. But if we are to understand how and why philosophy is developing as it is, we need to attend to Putnam's whole career. He has had a dramatic influence on theories of meaning, semantic content, and the nature of mental phenomena, on interpretations of quantum mechanics, theory-change, logic and mathematics, and on what shape we should desire for future philosophy. By presenting the whole of his career within its historical context, de Gaynesford discovers a basic unity in his work, achieved through repeated engagements with a small set of hard problems. By foregrounding this integrity, the book offers an account of his philosophy that is both true to Putnam and helpful to readers of his work.