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Author | : Russell Marcus |
Publisher | : Bloomsbury Publishing |
Total Pages | : 896 |
Release | : 2016-02-11 |
Genre | : Philosophy |
ISBN | : 1472529480 |
Download An Historical Introduction to the Philosophy of Mathematics: A Reader Book in PDF, ePub and Kindle
A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.
Author | : Russell Marcus |
Publisher | : Bloomsbury Publishing |
Total Pages | : 849 |
Release | : 2016-02-11 |
Genre | : Philosophy |
ISBN | : 1472525345 |
Download An Historical Introduction to the Philosophy of Mathematics: A Reader Book in PDF, ePub and Kindle
As the first comprehensive collection of historical readings in the philosophy of mathematics, this much-needed introduction reveals the rich history of the subject. Focusing on the philosophy of mathematics before the 20th-century, An Historical Introduction to the Philosophy of Mathematics: A Readerbrings together an impressive collection of primary sources from ancient, medieval and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with modern thinkers. While a selection of recent texts offering insights the current state of the discipline, clearly illustrate the development of the subject. Presenting historical background essential to understanding contemporary trends, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates studying the philosophy of mathematics.
Author | : Mark Colyvan |
Publisher | : Cambridge University Press |
Total Pages | : 199 |
Release | : 2012-06-14 |
Genre | : Mathematics |
ISBN | : 0521826020 |
Download An Introduction to the Philosophy of Mathematics Book in PDF, ePub and Kindle
A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.
Author | : Russell Marcus |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 318 |
Release | : 2017-07-22 |
Genre | : |
ISBN | : 9781973776376 |
Download An Historical Introduction to the Philosophy of Mathematics Book in PDF, ePub and Kindle
An Historical Introduction to the Philosophy of Mathematics By Russell Marcus
Author | : Russell Marcus |
Publisher | : Bloomsbury Publishing |
Total Pages | : 896 |
Release | : 2016-02-11 |
Genre | : Philosophy |
ISBN | : 1472532910 |
Download An Historical Introduction to the Philosophy of Mathematics: A Reader Book in PDF, ePub and Kindle
A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.
Author | : David Bostock |
Publisher | : John Wiley & Sons |
Total Pages | : 345 |
Release | : 2009-03-09 |
Genre | : Mathematics |
ISBN | : 1405189924 |
Download Philosophy of Mathematics Book in PDF, ePub and Kindle
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
Author | : Øystein Linnebo |
Publisher | : Princeton University Press |
Total Pages | : 214 |
Release | : 2020-03-24 |
Genre | : Mathematics |
ISBN | : 069120229X |
Download Philosophy of Mathematics Book in PDF, ePub and Kindle
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.
Author | : Joel David Hamkins |
Publisher | : MIT Press |
Total Pages | : 350 |
Release | : 2021-03-09 |
Genre | : Mathematics |
ISBN | : 0262542234 |
Download Lectures on the Philosophy of Mathematics Book in PDF, ePub and Kindle
An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Author | : W.S. Anglin |
Publisher | : Springer Science & Business Media |
Total Pages | : 253 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461208750 |
Download Mathematics: A Concise History and Philosophy Book in PDF, ePub and Kindle
This is a concise introductory textbook for a one-semester (40-class) course in the history and philosophy of mathematics. It is written for mathemat ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac quire a philosophical and cultural understanding of their subject by means of doing actual mathematical problems from different eras. On the other hand, it is designed to help philosophy, history, and education students come to a deeper understanding of the mathematical side of culture by means of writing short essays. The way I myself teach the material, stu dents are given a choice between mathematical assignments, and more his torical or philosophical assignments. (Some sample assignments and tests are found in an appendix to this book. ) This book differs from standard textbooks in several ways. First, it is shorter, and thus more accessible to students who have trouble coping with vast amounts of reading. Second, there are many detailed explanations of the important mathematical procedures actually used by famous mathe maticians, giving more mathematically talented students a greater oppor tunity to learn the history and philosophy by way of problem solving.
Author | : Paul Benacerraf |
Publisher | : Cambridge University Press |
Total Pages | : 604 |
Release | : 1984-01-27 |
Genre | : Science |
ISBN | : 1107268133 |
Download Philosophy of Mathematics Book in PDF, ePub and Kindle
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.