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Mathematics: A Concise History and Philosophy

Mathematics: A Concise History and Philosophy
Author: W.S. Anglin
Publisher: Springer Science & Business Media
Total Pages: 282
Release: 1994
Genre: Mathematics
ISBN: 0387942807

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This concise introduction explores the key mathematical and philosophical aspects of the history of mathematics. Detailed explanations of mathematical procedures used by famous mathematicians give readers a greater opportunity to learn the history and philosophy through problem solving. 23 illustrations.


A Concise History of Mathematics for Philosophers .

A Concise History of Mathematics for Philosophers .
Author: John Stillwell
Publisher: Cambridge University Press
Total Pages: 77
Release: 2019-06-06
Genre: Science
ISBN: 1108456235

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This Element aims to present an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy. It ranges from the discovery of irrational numbers in ancient Greece to the nineteenth- and twentieth-century discoveries on the nature of infinity and proof. Recurring themes are intuition and logic, meaning and existence, and the discrete and the continuous. These themes have evolved under the influence of new mathematical discoveries and the story of their evolution is, to a large extent, the story of philosophy of mathematics.


A Concise History of Mathematics

A Concise History of Mathematics
Author: Dirk Jan Struik
Publisher: Courier Corporation
Total Pages: 260
Release: 1967
Genre: Mathematics
ISBN: 9780486602554

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This compact, well-written history covers major mathematical ideas and techniques from the ancient Near East to 20th-century computer theory, surveying the works of Archimedes, Pascal, Gauss, Hilbert, and many others. "The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature.


Philosophy of Mathematics

Philosophy of Mathematics
Author: Øystein Linnebo
Publisher: Princeton University Press
Total Pages: 214
Release: 2020-03-24
Genre: Mathematics
ISBN: 069120229X

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A sophisticated, original introduction to the philosophy of mathematics from one of its leading thinkers Mathematics is a model of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic, accessible introduction to the field that is trying to answer that question: the philosophy of mathematics. Øystein Linnebo, one of the world's leading scholars on the subject, introduces all of the classical approaches to the field as well as more specialized issues, including mathematical intuition, potential infinity, and the search for new mathematical axioms. Sophisticated but clear and approachable, this is an essential book for all students and teachers of philosophy and of mathematics.


Philosophy of Mathematics

Philosophy of Mathematics
Author: David Bostock
Publisher: John Wiley & Sons
Total Pages: 345
Release: 2009-03-09
Genre: Mathematics
ISBN: 1405189924

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Philosophy of Mathematics: An Introduction provides a critical analysis of the major philosophical issues and viewpoints in the concepts and methods of mathematics - from antiquity to the modern era. Offers beginning readers a critical appraisal of philosophical viewpoints throughout history Gives a separate chapter to predicativism, which is often (but wrongly) treated as if it were a part of logicism Provides readers with a non-partisan discussion until the final chapter, which gives the author's personal opinion on where the truth lies Designed to be accessible to both undergraduates and graduate students, and at the same time to be of interest to professionals


An Introduction to the Philosophy of Mathematics

An Introduction to the Philosophy of Mathematics
Author: Mark Colyvan
Publisher: Cambridge University Press
Total Pages: 199
Release: 2012-06-14
Genre: Mathematics
ISBN: 0521826020

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A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.


Thinking about Mathematics

Thinking about Mathematics
Author: Stewart Shapiro
Publisher: OUP Oxford
Total Pages: 323
Release: 2000-07-13
Genre: Philosophy
ISBN: 0192893068

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Thinking about Mathematics covers the range of philosophical issues and positions concerning mathematics. The text describes the questions about mathematics that motivated philosophers throughout history and covers historical figures such as Plato, Aristotle, Kant, and Mill. It also presents the major positions and arguments concerning mathematics throughout the twentieth century, bringing the reader up to the present positions and battle lines.


A Brief History of Analytic Philosophy

A Brief History of Analytic Philosophy
Author: Stephen P. Schwartz
Publisher: John Wiley & Sons
Total Pages: 367
Release: 2012-03-28
Genre: Philosophy
ISBN: 1118271726

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A Brief History of Analytic Philosophy: From Russell to Rawls presents a comprehensive overview of the historical development of all major aspects of analytic philosophy, the dominant Anglo-American philosophical tradition in the twentieth century. Features coverage of all the major subject areas and figures in analytic philosophy - including Wittgenstein, Bertrand Russell, G.E. Moore, Gottlob Frege, Carnap, Quine, Davidson, Kripke, Putnam, and many others Contains explanatory background material to help make clear technical philosophical concepts Includes listings of suggested further readings Written in a clear, direct style that presupposes little previous knowledge of philosophy


An Introduction to Mathematics

An Introduction to Mathematics
Author: Alfred North Whitehead
Publisher: Courier Dover Publications
Total Pages: 177
Release: 2017-05-04
Genre: Mathematics
ISBN: 0486821382

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Concise volume for general students by prominent philosopher and mathematician explains what math is and does, and how mathematicians do it. "Lucid and cogent ... should delight you." — The New York Times. 1911 edition.


Converging Realities

Converging Realities
Author: Roland Omnès
Publisher: Princeton University Press
Total Pages: 300
Release: 2005
Genre: Mathematics
ISBN: 9780691115306

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