An Introduction To The Philosophy Of Mathematics
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An Introduction To The Philosophy Of Mathematics
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Author : Mark Colyvan
language : en
Publisher: Cambridge University Press
Release Date : 2012-06-14
An Introduction To The Philosophy Of Mathematics written by Mark Colyvan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-14 with Mathematics categories.
A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.
Introduction To Mathematical Philosophy
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Author : Bertrand Russell
language : en
Publisher: Courier Corporation
Release Date : 1993-01-01
Introduction To Mathematical Philosophy written by Bertrand Russell and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Mathematics categories.
In the words of Bertrand Russell, "Because language is misleading, as well as because it is diffuse and inexact when applied to logic (for which it was never intended), logical symbolism is absolutely necessary to any exact or thorough treatment of mathematical philosophy." That assertion underlies this book, a seminal work in the field for more than 70 years. In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy. In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.
An Introduction To The Philosophy Of Mathematics
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Author : Mark Colyvan
language : en
Publisher:
Release Date : 2012
An Introduction To The Philosophy Of Mathematics written by Mark Colyvan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This introduction to the philosophy of mathematics focuses on contemporary debates in an important and central area of philosophy. The reader is taken on a fascinating and entertaining journey through some intriguing mathematical and philosophical territory, including such topics as the realism/anti-realism debate in mathematics, mathematical explanation, the limits of mathematics, the significance of mathematical notation, inconsistent mathematics and the applications of mathematics. Each chapter has a number of discussion questions and recommended further reading from both the contemporary literature and older sources. Very little mathematical background is assumed and all of the mathematics encountered is clearly introduced and explained using a wide variety of examples. The book is suitable for an undergraduate course in philosophy of mathematics and, more widely, for anyone interested in philosophy and mathematics.
Philosophy Of Mathematics
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Author : David Bostock
language : en
Publisher: John Wiley & Sons
Release Date : 2009-03-09
Philosophy Of Mathematics written by David Bostock and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-09 with Mathematics categories.
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
Philosophy Of Mathematics
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Author : David Bostock
language : en
Publisher: Wiley-Blackwell
Release Date : 2009-03-09
Philosophy Of Mathematics written by David Bostock and has been published by Wiley-Blackwell this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-09 with Mathematics categories.
Provides readers with a non-partisan discussion until the final chapter, which gives the author's personal opinion on where the truth lies.
Introduction To Mathematical Philosophy
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Author : Bertrand Russell
language : en
Publisher: Psychology Press
Release Date : 1993
Introduction To Mathematical Philosophy written by Bertrand Russell and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
Bertrand Russell is the most important philosopher of mathematics of the twentieth century. The author of The Principles of Mathematicsand, with Alfred Whitehead, the massive Principia Mathematica, Russell brought together his skills as a gifted communicator to provide a classic introduction to the philosophy of mathematics. Introduction to Mathematical Philosophysets out in a lucid and non-technical way the main ideas of Principia Mathematica. It is as inspiring and useful to the beginner now as it was when it was first published in 1919.
Mathematical Thought
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Author : E.W. Beth
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Mathematical Thought written by E.W. Beth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
In contributing a foreword to this book I am complying with a wish my husband expressed a few days before his death. He had completed the manuscript of this work, which may be considered a companion volume to his book Formal Methods. The task of seeing it through the press was undertaken by Mr. J. J. A. Mooij, acting director of the Institute for Research in Foundations and the Philosophy of Science (Instituut voor Grondslagenonderzoek en Filoso:fie der Exacte Wetenschappen) of the University of Amsterdam, with the help of Mrs. E. M. Barth, lecturer at the Institute. I wish to thank Mr. Mooij and Mrs. Barth most cordially for the care with which they have acquitted themselves of this delicate task and for the speed with which they have brought it to completion. I also wish to express my gratitude to Miss L. E. Minning, M. A. , for the helpful advice she has so kindly given to Mr. Mooij and Mrs. Barth during the proof reading. C. P. C. BETH-PASTOOR VII PREFACE A few years ago Mr. Horace S.
Philosophy Of Mathematics
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Author : Paul Benacerraf
language : en
Publisher: Cambridge University Press
Release Date : 1983
Philosophy Of Mathematics written by Paul Benacerraf and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.
Seminal articles in the philosophy of mathematics by Russell, Quine, Gödel and other major thinkers.
Philosophy Of Mathematics
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Author : James Robert Brown
language : en
Publisher: Routledge
Release Date : 2005-08-09
Philosophy Of Mathematics written by James Robert Brown and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-09 with Philosophy categories.
Philosophy of Mathematics is an excellent introductory text. This student friendly book discusses the great philosophers and the importance of mathematics to their thought. It includes the following topics: * the mathematical image * platonism * picture-proofs * applied mathematics * Hilbert and Godel * knots and nations * definitions * picture-proofs and Wittgenstein * computation, proof and conjecture. The book is ideal for courses on philosophy of mathematics and logic.
Philosophy Of Mathematics
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Author : Øystein Linnebo
language : en
Publisher: Princeton University Press
Release Date : 2020-03-24
Philosophy Of Mathematics written by Øystein Linnebo and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-24 with Mathematics categories.
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.