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philosophy mathematics matches 267 work(s)

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The Philosophy of Mathematics Today

Product Description: This comprehensive volume gives a panorama of the best current work in this lively field, through twenty specially written essays by the leading figures in the field. All essays deal with foundational issues, from the nature of mathematical knowledge and mathematical existence to logical consequence, abstraction, and the notions of set and natural number...read more (view table of contents, read Amazon.com's description)

By Matthias Schirn (editor)

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Hardcover:

9780198236542 | Oxford Univ Pr on Demand, November 5, 1998, cover price $199.00 | About this edition: This comprehensive volume gives a panorama of the best current work in this lively field, through twenty specially written essays by the leading figures in the field.

Paperback:

9780199262625 | Oxford Univ Pr on Demand, July 31, 2003, cover price $65.00 | About this edition: This comprehensive volume gives a panorama of the best current work in this lively field, through twenty specially written essays by the leading figures in the field.

Beyond Two: Theory and Applications of Multiple-Valued Logic

Product Description: This volume represents the state of the art for much current research in many-valued logics. Primary researchers in the field are among the authors. Major methodological issues of many-valued logics are treated, as well as applications of many-valued logics to reasoning with fuzzy information...read more

By Melvin Fitting and Ewa Orlowska (editor)

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Hardcover:

9783790815412 | Physica Verlag, March 1, 2003, cover price $139.00 | About this edition: This volume represents the state of the art for much current research in many-valued logics.

Computability and Models: Perspectives East and West

Product Description: There are few notions as fundamental to contemporary science as those of computability and modelling. Computability and Models attempts to make some of the exciting and important new research developments in this area accessible to a wider readership...read more (view table of contents, read Amazon.com's description)

By S. Barry Cooper and Sergey S. Goncharov

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Hardcover:

9780306474002 | Plenum Pub Corp, February 1, 2003, cover price $179.00 | About this edition: There are few notions as fundamental to contemporary science as those of computability and modelling.

Geometry of State Spaces of Operator Algebras

Product Description: This monograph presents a complete and self-contained solution to the long-standing problem of giving a geometric description of state spaces of C*-algebras and von Neumann algebras, and of their Jordan algebraic analogs (JB-algebras and JBW-algebras)...read more (view table of contents, read Amazon.com's description)

By Erik M. Alfsen and Frederic W. Shultz

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Hardcover:

9780817643195 | Birkhauser, December 1, 2002, cover price $99.00 | About this edition: This monograph presents a complete and self-contained solution to the long-standing problem of giving a geometric description of state spaces of C*-algebras and von Neumann algebras, and of their Jordan algebraic analogs (JB-algebras and JBW-algebras).

Lakatos: An Introduction

Product Description: Lakatos: An Introduction is the first comprehensive analysis on the intellectual life and theories of the distinguished thinker Imre Lakatos. This book clearly presents Lakatos's development of a philosophy of mathematics and empirical science, Lakatos's thought as an important hybrid of Popperian philosophy and Hegelian-Marxist thought, the relationship between Lakatos's views on science and mathematics and his more general philosophical beliefs...read more (view table of contents, read Amazon.com's description)

By Brendan Larvor

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Hardcover:

9780415142755 | Routledge, May 1, 1998, cover price $115.00 | About this edition: Lakatos: An Introduction is the first comprehensive analysis on the intellectual life and theories of the distinguished thinker Imre Lakatos.

Paperback:

9780415142762 | Routledge, March 1, 1998, cover price $35.95 | About this edition: Lakatos: An Introduction is the first comprehensive book on the highly influential philosopher of science, Imre Lakatos.

Miscellaneous:

9780203004548 | Routledge, March 1, 1998, cover price $115.00

Modal Logic

Product Description: This modern, advanced textbook reviews modal logic, a field which caught the attention of computer scientists in the late 1970's. The development is mathematical; prior acquaintance with first-order logic and its semantics is assumed, and familiarity with the basic mathematical notions of set theory is required...read more (view table of contents, read Amazon.com's description)

By Patrick Blackburn, Maarten De Rijke and Yde Venema

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Hardcover:

9780521802000 | Cambridge Univ Pr, July 1, 2001, cover price $99.99 | About this edition: This modern, advanced textbook reviews modal logic, a field which caught the attention of computer scientists in the late 1970's.

Paperback:

9780521527149 | Cambridge Univ Pr, November 1, 2002, cover price $99.00 | About this edition: This modern, advanced textbook reviews modal logic, a field which caught the attention of computer scientists in the late 1970's.

Internal Logic: Foundations of Mathematics from Kronecker to Hilbert

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By Yvon Gauthier

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Hardcover:

9781402006890 | Kluwer Academic Pub, September 1, 2002, cover price $159.00

The Book of Nothing: Vacuums, Voids, and the Latest Ideas About the Origins of the Universe

A leading mathematician and cosmologist explores the concept of nothingness, from the origins of zero in ancient India, through changing ideas about 'nothing' from ancient Greece to the present day, to attempts by modern mathematics, cosmology, theology, and physics to explain the role of 'nothing' in the structure of the universe. Reprint. 17,500 first printing.

By John D. Barrow

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Hardcover:

9780375420993 | Pantheon Books, April 1, 2001, cover price $27.50 | About this edition: Explores the concept of nothingness, from the origins of zero in ancient India to attempts by modern mathematics, cosmology, theology, and physics to explain the role of 'nothing' in the structure of the universe.

Paperback:

9780375726095 | Reprint edition (Vintage Books, August 1, 2002), cover price $15.95 | About this edition: A leading mathematician and cosmologist explores the concept of nothingness, from the origins of zero in ancient India, through changing ideas about 'nothing' from ancient Greece to the present day, to attempts by modern mathematics, cosmology, theology, and physics to explain the role of 'nothing' in the structure of the universe.

The Applicability of Mathematics As a Philosophical Problem

Product Description: This book analyzes the different ways mathematics is applicable in the physical sciences, and presents a startling thesis--the success of mathematical physics appears to assign the human mind a special place in the cosmos. Mark Steiner distinguishes among the semantic problems that arise from the use of mathematics in logical deduction; the metaphysical problems that arise from the alleged gap between mathematical objects and the physical world; the descriptive problems that arise from the use of mathematics to describe nature; and the epistemological problems that arise from the use of mathematics to discover those very descriptions...read more

By Mark Steiner

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Hardcover:

9780674040977 | Harvard Univ Pr, November 20, 1998, cover price $60.00 | About this edition: This book analyzes the different ways mathematics is applicable in the physical sciences, and presents a startling thesis--the success of mathematical physics appears to assign the human mind a special place in the cosmos.

Paperback:

9780674009707 | Reprint edition (Harvard Univ Pr, September 30, 2002), cover price $29.50 | About this edition: This book analyzes the different ways mathematics is applicable in the physical sciences, and presents a startling thesis--the success of mathematical physics appears to assign the human mind a special place in the cosmos.

Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap

Product Description: This is a critical examination of the astonishing progress made in the philosophical study of the properties of the natural numbers from the 1880s to the 1930s. Reassessing the brilliant innovations of Frege, Russell, Wittgenstein, and others, which transformed philosophy as well as our understanding of mathematics, Michael Potter places arithmetic at the interface between experience, language, thought, and the world...read more (view table of contents, read Amazon.com's description)

By Michael Potter

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Hardcover:

9780198250418 | Oxford Univ Pr on Demand, June 1, 2000, cover price $150.00 | About this edition: This is a critical examination of the astonishing progress made in the philosophical study of the properties of the natural numbers from the 1880s to the 1930s.

Paperback:

9780199252619 | Oxford Univ Pr on Demand, August 29, 2002, cover price $50.00 | About this edition: This is a critical examination of the astonishing progress made in the philosophical study of the properties of the natural numbers from the 1880s to the 1930s.

Mathematical Reasoning: Writing and Proof

Product Description: Focusing on the formal development of mathematics, this book demonstrates how to read and understand, write and construct mathematical proofs. It emphasizes active learning, and uses elementary number theory and congruence arithmetic throughout...read more (view table of contents, read Amazon.com's description)

By Theodore A. Sundstrom

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Hardcover:

9780130618153 | Prentice Hall, June 1, 2002, cover price $103.00 | About this edition: Focusing on the formal development of mathematics, this book demonstrates how to read and understand, write and construct mathematical proofs.

Proof and System-Reliability

Product Description: As society comes to rely increasingly on software for its welfare and prosperity there is an urgent need to create systems in which it can trust. Experience has shown that confidence can only come from a more profound understanding of the issues, which in turn can come only if it is based on logically sound foundations...read more (view table of contents, read Amazon.com's description)

By NATO Advanced Study Institute on Proof and System-Reliability (other contributor), Helmut Schwichtenberg (editor) and Ralf Steinbruggen (editor)

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Hardcover:

9781402006074 | Kluwer Academic Pub, June 1, 2002, cover price $209.00 | About this edition: As society comes to rely increasingly on software for its welfare and prosperity there is an urgent need to create systems in which it can trust.

Henri Poincare: Scientific Opportunism L'Opportunisme Scientifique : An Anthology

Product Description: During his lifetime, Henri Poincaré published three major philosophical books which achieved great success: "La science et l'hypothèse" (1902), "La valeur de la science" (1905) and "Science et méthode" (1908). After his death in 1913, a fourth volume of his philosophical works was published by his heirs as "Dernières pensées" (1913)...read more (view table of contents, read Amazon.com's description)

By Laurent Rollet (editor) and Louis Rougier (compiler)

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Hardcover:

9783764365394 | Birkhauser, April 1, 2002, cover price $90.00 | About this edition: During his lifetime, Henri Poincaré published three major philosophical books which achieved great success: "La science et l'hypothèse" (1902), "La valeur de la science" (1905) and "Science et méthode" (1908).

Appraising Lakatos: Mathematics, Methodology, and the Man

Product Description: Imre Lakatos (1922-1974) was one of the protagonists in shaping the "new philosophy of science". More than 25 years after his untimely death, it is time for a critical re-evaluation of his ideas. His main theme of locating rationality within the scientific process appears even more compelling today, after many historical case studies have revealed the cultural and societal elements within scientific practices...read more (view table of contents, read Amazon.com's description)

By George Kampis (editor), Ladislav Kvasz (editor) and Michael Stoltzner (editor)

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Hardcover:

9781402002267 | Kluwer Academic Pub, March 1, 2002, cover price $189.00 | About this edition: Imre Lakatos (1922-1974) was one of the protagonists in shaping the "new philosophy of science".

Mathematics and the Image of Reason

As science becomes more heavily mathematical and as computers continue to infiltrate life in affluent societies, the philosopher's concern with mathematics has, paradoxically, dwindled. It has come to be tacitly presumed that mathematics is nothing but logic.Concentrating on three key figures in the philosophy of mathematics--Frege, Russell, and Hilbert--Mary Tiles seeks to dispel the misconception that scientific rationality and the character of reason is merely pure logic--and therefore inherently at odds with imagination. Tiles argues against those who see mathematics as uncreative and irrelevant to our postmodern, post-structuralist age.

By Mary Tiles

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Hardcover:

9780415033183 | Routledge, July 1, 1991, cover price $130.00 | About this edition: As science becomes more heavily mathematical and as computers continue to infiltrate life in affluent societies, the philosopher's concern with mathematics has, paradoxically, dwindled.

Miscellaneous:

9780203028360 | Routledge, January 4, 2002, cover price $125.00

Wittgenstein's Philosophy of Mathematics

Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the `community view of internal relations'.

By Pasquale Frascolla

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Hardcover:

9780415024839 | Routledge, December 1, 1994, cover price $140.00 | About this edition: Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry.

Miscellaneous:

9780203022467 | Routledge, January 4, 2002, cover price $135.00

Proof Theory and Automated Deduction

Product Description: Proof Theory and Automated Deduction is written for final-year undergraduate and first-year post-graduate students. It should also serve as a valuable reference for researchers in logic and computer science. It covers basic notions in logic, with a particular stress on proof theory, as opposed to, for example, model theory or set theory; and shows how they are applied in computer science, and especially the particular field of automated deduction, i...read more

By Jean Goubault-Larrecq and Ian Mackie

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Hardcover:

9780792345930 | Kluwer Academic Pub, June 1, 1997, cover price $240.00 | About this edition: Proof Theory and Automated Deduction is written for final-year undergraduate and first-year post-graduate students.

Paperback:

9781402003684 | Kluwer Academic Print on Demand, January 1, 2002, cover price $109.00 | About this edition: Proof Theory and Automated Deduction is written for final-year undergraduate and first-year post-graduate students.

Mathematical Logic

Product Description: Alan Mathison Turing (1912-1954) made major contributions to several areas of science. Today his name is mentioned frequently in philosophical discussions about the nature of Artificial Intelligence. He was a pioneer researcher in computer architecture and software engineering - his work in pure mathematics and mathematical logic extended considerably further...read more (view table of contents, read Amazon.com's description)

By R. O. Gandy (editor), Alan Mathison Turing and C. E. M. Yates (editor)

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Hardcover:

9780444504234 | North-Holland, December 5, 2001, cover price $185.00 | About this edition: Alan Mathison Turing (1912-1954) made major contributions to several areas of science.

Miscellaneous:

9780080535920 | North-Holland, December 5, 2001, cover price $165.00

The Classical Decision Problem

Product Description: This book offers a comprehensive treatment of the classical decision problem of mathematical logic and of the role of the classical decision problem in modern computer science. The text presents a revealing analysis of the natural order of decidable and undecidable cases and includes a number of simple proofs and exercises...read more (view table of contents, read Amazon.com's description)

By Egon Borger

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Hardcover:

9783540570738 | Springer Verlag, June 1, 1997, cover price $138.00 | About this edition: This is the most comprehensive treatment available in book form of the classical decision problem of mathematical logic and of the role of the classical decision problem in modern computer science.

9780387570730 | Springer Verlag, January 1, 1997, cover price $138.00 | About this edition: This is the most complete and comprehensive treatment available in book form of the classical decision problem of mathematical logic and its role in modern computer science.

Paperback:

9783540423249 | Springer Verlag, December 1, 2001, cover price $119.00 | About this edition: This book offers a comprehensive treatment of the classical decision problem of mathematical logic and of the role of the classical decision problem in modern computer science.

Philosophy of Mathematics: An Anthology

Product Description: This distinctive anthology explores the central problems and exposes intriguing new directions in the philosophy of mathematics. (view table of contents, read Amazon.com's description)

By Dale Jacquette (editor)

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Hardcover:

9780631218692 | Blackwell Pub, December 5, 2001, cover price $159.95 | About this edition: This distinctive anthology explores the central problems and exposes intriguing new directions in the philosophy of mathematics.

Paperback:

9780631218708 | Blackwell Pub, December 5, 2001, cover price $64.95 | About this edition: This distinctive anthology explores the central problems and exposes intriguing new directions in the philosophy of mathematics.

Platonism and Anti-Platonism in Mathematics

Product Description: In this highly absorbing work, Balaguer demonstrates that no good arguments exist either for or against mathematical platonism-for example, the view that abstract mathematical objects do exist and that mathematical theories are descriptions of such objects...read more (view table of contents, read Amazon.com's description)

By Mark Balaguer

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Hardcover:

9780195122305 | Oxford Univ Pr on Demand, August 20, 1998, cover price $135.00 | About this edition: In this deft and vigorous book, Mark Balaguer demonstrates that there are no good arguments for or against mathematical platonism (ie.

Paperback:

9780195143980 | Reprint edition (Oxford Univ Pr on Demand, July 19, 2001), cover price $45.00 | About this edition: In this highly absorbing work, Balaguer demonstrates that no good arguments exist either for or against mathematical platonism-for example, the view that abstract mathematical objects do exist and that mathematical theories are descriptions of such objects.

Categorical Logic and Type Theory

Product Description: This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. Its intended audience consists of logicians, type theorists, category theorists and (theoretical) computer scientists...read more (view table of contents, read Amazon.com's description)

By Bart Jacobs

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Hardcover:

9780444501707 | Elsevier Science Ltd, December 1, 1998, cover price $178.50 | About this edition: This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category.

Paperback:

9780444508539 | Reprint edition (Elsevier Science Ltd, May 10, 2001), cover price $120.00 | About this edition: This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category.

Mathematics and the Roots of Postmodern Thought

Product Description: This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares developments in mathematics to what took place in the arts and humanities, discussing issues as diverse as literary theory, arts, and artificial intelligence...read more (view table of contents, read Amazon.com's description)

By Vladimir Tasic

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Hardcover:

9780195139679 | Oxford Univ Pr on Demand, August 30, 2001, cover price $29.99 | About this edition: This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy.

Math Gene: How Mathematical Thinking Evolved and Why Numbers Are Like Gossip

The author of The Language of Mathematics: Making the Invisible Visible introduces a new theory of language development to explain why some people learn to do math while others do not. Reprint. 30,000 first printing. (view table of contents)

By Keith Devlin

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Hardcover:

9780465016181, titled "The Math Gene: How Mathematical Thinking Evolved and Why Numbers Are Like Gossip" | 1 edition (Basic Books, July 1, 2000), cover price $25.00 | About this edition: Explores the evolution of a mathematical language as a system of communication, and discusses how each individual possesses mathematical reasoning.

9780756765927 | Diane Pub Co, March 1, 2000, cover price $25.00 | About this edition: The Maths Gene explains how the human mind came to - and continues to - perform mathematical reasoning.

Paperback:

9780465016198, titled "The Math Gene: How Mathematical Thinking Evolved & Why Numbers Are Like Gossip" | Reprint edition (Basic Books, May 16, 2001), cover price $17.00 | About this edition: The author of The Language of Mathematics: Making the Invisible Visible introduces a new theory of language development to explain why some people learn to do math while others do not.

Structural Proof Theory

Product Description: Structural proof theory is a branch of logic that studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to the central results and methods of structural proof theory, and a work of research that will be of interest to specialists...read more (view table of contents, read Amazon.com's description)

By Sara Negri and Jan Von Plato

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Hardcover:

9780521793070 | Cambridge Univ Pr, June 1, 2001, cover price $122.00 | About this edition: Structural proof theory is a branch of logic that studies the general structure and properties of logical and mathematical proofs.

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