Hilary Putnam on Logic and Mathematics

Hilary Putnam on Logic and Mathematics PDF Author: Geoffrey Hellman
Publisher: Springer
ISBN: 3319962744
Category : Mathematics
Languages : en
Pages : 274

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Book Description
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.

Hilary Putnam on Logic and Mathematics

Hilary Putnam on Logic and Mathematics PDF Author: Geoffrey Hellman
Publisher: Springer
ISBN: 3319962744
Category : Mathematics
Languages : en
Pages : 274

Get Book Here

Book Description
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) PDF Author: Hilary Putnam
Publisher: Routledge
ISBN: 1317832582
Category : Philosophy
Languages : en
Pages : 86

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Book Description
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 PDF Author: Hilary Putnam
Publisher: Harvard University Press
ISBN: 0674050134
Category : Philosophy
Languages : en
Pages : 672

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Book Description
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 PDF Author: Paul Benacerraf
Publisher: Cambridge University Press
ISBN: 1107268133
Category : Science
Languages : en
Pages : 604

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Book Description
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.

Kurt Gödel and the Foundations of Mathematics

Kurt Gödel and the Foundations of Mathematics PDF Author: Matthias Baaz
Publisher: Cambridge University Press
ISBN: 1139498436
Category : Mathematics
Languages : en
Pages : 541

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Book Description
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.

The Philosophy of Hilary Putnam

The Philosophy of Hilary Putnam PDF Author: Randall E. Auxier
Publisher: Open Court
ISBN: 0812698983
Category : Philosophy
Languages : en
Pages : 975

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Book Description
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.

Reason, Truth and History

Reason, Truth and History PDF Author: Hilary Putnam
Publisher: Cambridge University Press
ISBN: 9780521297769
Category : Philosophy
Languages : en
Pages : 244

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Book Description
'This is a timely book, with penetrating discussion of issues very much in the forefront of the contemporary philosophy. Despite the prominence of negative arguments it contains much to contribute positively to our understanding of what is needed for a conception of rationality and objectivity that covers ethics and value theory generally as well as physics.'

Representation and Reality

Representation and Reality PDF Author: Hilary Putnam
Publisher: MIT Press
ISBN: 9780262660747
Category : Philosophy
Languages : en
Pages : 166

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Book Description
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.

Words and Life

Words and Life PDF Author: Hilary Putnam
Publisher: Harvard University Press
ISBN: 9780674956070
Category : Philosophy
Languages : en
Pages : 614

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Book Description
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.

Logic and Algebraic Structures in Quantum Computing

Logic and Algebraic Structures in Quantum Computing PDF Author: Jennifer Chubb
Publisher: Cambridge University Press
ISBN: 110703339X
Category : Computers
Languages : en
Pages : 355

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Book Description
Experts in the field explore the connections across physics, quantum logic, and quantum computing.