Philosophy of Mathematics


"The Companion Guide to the Mathematical Experience"

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This guide is designed as a teaching tool, aimed at both teachers and student teachers. Its main purpose is to enhance the value of The Mathematical Experience as a textbook. It includes a sample syllabus, outlines for group work, sample exams and hints for grading essays. With 21 b&w illustrations. Study ed. Paperback, 128 pages. Size: 235 x 155 mm. Weight: 227g.
Author:  Davis, Philip J. Hersh, Reuben Marchisotto, Elena Anne
ISBN:  0817638490
Publisher:  Birkhauser Verlag Ag
Date:  1995  (Switzerland)
Readership:  Undergraduate Philosophy of Mathematics

"The Maths Gene"

Why Everyone Has It, But Most People Don't Use It

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The Maths Gene explains how the human mind came to - and continues to - perform mathematical reasoning. With 30 line drawing(s). New ed. Paperback, 320 pages. Size: 198 x 131 mm. Weight: 365g.
Author:  Devlin, Keith J.
ISBN:  075381126X
Publisher:  Orion Publishing Co
Date:  2001  (United Kingdom)
Readership:  General (Us: Trade) Philosophy of Mathematics

"Alfred Tarski"

Life and Logic

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A frank, vivid picture of a personally and professionally passionate man, interlaced with an account of his major scientific achievements. With 10 line diagrams 75 half-tones 1 map. Paperback, 432 pages. Size: 228 x 152 mm. Weight: 585g.
Author:  Feferman, Anita Burdman Feferman, Solomon
ISBN:  052171401X
Publisher:  Cambridge University Press
Date:  2008  (United States)
Readership:  General (Us: Trade) Philosophy of Mathematics

"The Limits of Abstraction"

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Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths. The Limits of Abstraction breaks new ground both technically and philosophically. Paperback, 214 pages. Size: 216 x 138 mm. Weight: 285g.
Author:  Fine, Kit
ISBN:  0199533636
Publisher:  Oxford University Press
Date:  2008  (United Kingdom)
Readership:  Postgraduate, Research & Scholarly Philosophy of Mathematics

"Introducing Philosophy of Mathematics"

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Introduces the central debates in the philosophy of mathematics and examines the standard theories of mathematics: platonism and realism, logicism, formalism, constructivism and structuralism. This book is aimed at upper-level undergraduates with a limited proficiency in mathematics, but who have completed a first-year formal logic course. With illustrations. Paperback, 240 pages. Size: 234 x 156 mm. Weight: 340g.
Author:  Friend, Michele
ISBN:  1844650618
Publisher:  Acumen Publishing Ltd
Date:  2007  (United Kingdom)
Readership:  Tertiary Education (Us: College) Philosophy of Mathematics

"Philosophies of Mathematics"

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During the 1920s and 30s philosophers and mathematicians attempted to clarify the nature of mathematics, their legacy consists of three programs. This text aims to provide an introduction to these programs by describing and investigating their philosophical and mathematical components. With 4. Paperback, 240 pages. Size: 229 x 152 mm. Weight: 357g.
Author:  George, Alexander Velleman, Daniel (Amherst College Usa)
ISBN:  0631195440
Publisher:  Blackwell Publishers
Date:  2001  (United Kingdom)
Readership:  Professional & Vocational Philosophy of Mathematics

"Philosophical Theories of Probability"

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"Philosophical Issues in Science" series; The use of probability and statistics has increased dramatically in all fields of research. This book presents an account of the resultant philosophical theories of probability and explains how they relate to one another. With 16 line figures. 1997. 3rd print. Paperback, 240 pages. Size: 234 x 156 mm. Weight: 431g.
Author:  Gillies, Donald
ISBN:  041518276X
Publisher:  Taylor & Francis Ltd
Date:  2000  (United Kingdom)
Readership:  Postgraduate, Research & Scholarly Philosophy of Mathematics

"The Non-Local Universe"

The New Physics and Matters of the Mind

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In 'The Non-Local Universe', Nadeau and Kafatos offer a revolutionary look at the breathtaking implications of non-locality. They argue that since every particle in the universe has been entangled with other particles, physical reality on the most basic level is an undivided wholeness. With 21 figures. New ed. Paperback, 256 pages. Size: 202 x 135 mm. Weight: 221g.
Author:  Nadeau, Robert L. Kafatos, Menas
ISBN:  0195144082
Publisher:  Oxford University Press
Date:  2001  (United States)
Readership:  General (Us: Trade) Philosophy of Mathematics

"The Archimedes Codex"

Revealing the Secrets of the World's Greatest Palimpsest

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The story of the amazing discovery of Archimedes' lost works. With 16 colour photo\illu(s),54 diagram(s),1 map(s). Hardback, 336 pages. Size: 242 x 166 mm. Weight: 682g.
Author:  Netz, Reviel Noel, William
ISBN:  0297645471
Publisher:  Orion Publishing Co
Date:  2007  (United Kingdom)
Readership:  General (Us: Trade) Philosophy of Mathematics

"Converging Realities"

Toward a Common Philosophy of Physics and Mathematics

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Focuses on the philosophical relationship between mathematics and the natural sciences. This title shows that the axioms needed for the mathematics used in physics can also generate practically various fields of contemporary pure mathematics. It also provides a foundation for investigations in string theory and other areas of physics. With 10 line illus.. Hardback, 264 pages. Size: 229 x 152 mm. Weight: 554g.
Author:  Omnes, R.
ISBN:  0691115303
Publisher:  University Presses of California, Columbia and Princeton
Date:  2004  (United States)
Readership:  Professional & Vocational Philosophy of Mathematics

"Mathematics and Plausible Reasoning Induction and Analogy in Mathematics"

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With genealogical tables. Paperback, 296 pages. Size: 235 x 152 mm. Weight: 419g.
Author:  Polya, George
ISBN:  0691025096
Publisher:  University Presses of California, Columbia and Princeton
Date:  1990  (United States)
Readership:  Professional & Vocational Philosophy of Mathematics (V. 1)

"Mathematics and Plausible Reasoning Patterns of Plausible Inference"

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Explains how to become a good guesser. This two-volume work explores techniques of guessing, inductive reasoning, and reasoning by analogy, and the role they play in the most rigorous of deductive disciplines. With genealogical tables. New ed. Paperback, 200 pages. Size: 235 x 152 mm. Weight: 339g.
Author:  Polya, George
ISBN:  069102510X
Publisher:  University Presses of California, Columbia and Princeton
Date:  1990  (United States)
Readership:  Professional & Vocational Philosophy of Mathematics (V. 2)

"Set Theory and Its Philosophy"

A Critical Introduction

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Offering a philosophical introduction to set theory, this book interweaves a presentation of the technical material with a philosophical critique. At every stage, it discusses the reasons that can be offered for believing it to be true. It is designed as a key text for philosophy, mathematical logic, and computer science. With illustrations. Paperback, 360 pages. Size: 234 x 156 mm. Weight: 515g.
Author:  Potter, Michael
ISBN:  0199270414
Publisher:  Oxford University Press
Date:  2004  (United Kingdom)
Readership:  Professional & Vocational Philosophy of Mathematics

"The Mathematician's Brain"

A Personal Tour Through the Essentials of Mathematics and Some of the Great Minds Behind Them

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British mathematician Alan Turing, credited with cracking the German Enigma code during World War II, he died in 1954 after eating a cyanide-laced apple - his death was ruled a suicide. This book reveals the author's personal reflections on Turing and other fellow mathematicians. With 18 line illus.. Hardback, 172 pages. Size: 229 x 152 mm. Weight: 417g.
Author:  Ruelle, David
ISBN:  0691129827
Publisher:  University Presses of California, Columbia and Princeton
Date:  2007  (United States)
Readership:  General (Us: Trade) Philosophy of Mathematics

"Principles of Mathematics"

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Published in 1903, this book was the first treatise on the logical foundations of mathematics to be written in English. It sets forth the arguments in favour of the view that mathematics and logic are identical. New ed. Paperback, 576 pages. Size: 234 x 156 mm. Weight: 860g.
Author:  Russell, Bertrand
ISBN:  0415082994
Publisher:  Taylor & Francis Ltd
Date:  1992  (United Kingdom)
Readership:  Postgraduate, Research & Scholarly Philosophy of Mathematics

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