Mathematics In Philosophy
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Philosophy Of Mathematics
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Author : Paul Benacerraf
language : en
Publisher: Cambridge University Press
Release Date : 1984-01-27
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 1984-01-27 with Science categories.
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.
Lectures On The Philosophy Of Mathematics
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Author : Joel David Hamkins
language : en
Publisher: MIT Press
Release Date : 2021-03-09
Lectures On The Philosophy Of Mathematics written by Joel David Hamkins and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-09 with Mathematics categories.
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.
New Waves In Philosophy Of Mathematics
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Author : O. Bueno
language : en
Publisher: Springer
Release Date : 2009-09-29
New Waves In Philosophy Of Mathematics written by O. Bueno and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-29 with Philosophy categories.
Thirteen promising young researchers write on what they take to be the right philosophical account of mathematics and discuss where the philosophy of mathematics ought to be going. New trends are revealed, such as an increasing attention to mathematical practice, a reassessment of the canon, and inspiration from philosophical logic.
Philosophy Of Mathematics
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Author : James Robert Brown
language : en
Publisher: Psychology Press
Release Date : 1999
Philosophy Of Mathematics written by James Robert Brown and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Philosophy of Mathematicsis clear and engaging, and student friendly The book discusses the great philosophers and the importance of mathematics to their thought. Among topics discussed in the book are the mathematical image, platonism, picture-proofs, applied mathematics, Hilbert and Godel, knots and notation definitions, picture-proofs and Wittgenstein, computation, proof and conjecture.
Philosophy Of Mathematics
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Author : John Francis
language : en
Publisher: Global Vision Pub House
Release Date : 2008-08
Philosophy Of Mathematics written by John Francis and has been published by Global Vision Pub House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08 with Mathematics categories.
This Book Provides Introductory Knowledge Of The Philosophical Analysis And Historical Development Of All Important Aspects Of Mathematical Philosophy. The Book Is Intended For Laymen, But None Of The Essence Of The Philosophy Of Mathematics Has Been Omitted; It Is Not A Simple Book, But It Is Rewarding.
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.
Philosophy Of Mathematics
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Author : Vincent F. Hendricks
language : en
Publisher: Automatic Press Vip
Release Date : 2008
Philosophy Of Mathematics written by Vincent F. Hendricks and has been published by Automatic Press Vip this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Interviews of more than two dozen scholars about the philosophy of mathematics, their interests in the field, and their ideas about future developments.
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.
From Mathematics To Philosophy Routledge Revivals
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Author : Hao Wang
language : en
Publisher: Routledge
Release Date : 2016-06-10
From Mathematics To Philosophy Routledge Revivals written by Hao Wang and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-10 with Philosophy categories.
First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.
Philosophy Of Mathematics
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Author : Ahmet Cevik
language : en
Publisher: CRC Press
Release Date : 2021-11-09
Philosophy Of Mathematics written by Ahmet Cevik and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-09 with Mathematics categories.
The philosophy of mathematics is an exciting subject. Philosophy of Mathematics: Classic and Contemporary Studies explores the foundations of mathematical thought. The aim of this book is to encourage young mathematicians to think about the philosophical issues behind fundamental concepts and about different views on mathematical objects and mathematical knowledge. With this new approach, the author rekindles an interest in philosophical subjects surrounding the foundations of mathematics. He offers the mathematical motivations behind the topics under debate. He introduces various philosophical positions ranging from the classic views to more contemporary ones, including subjects which are more engaged with mathematical logic. Most books on philosophy of mathematics have little to no focus on the effects of philosophical views on mathematical practice, and no concern on giving crucial mathematical results and their philosophical relevance, consequences, reasons, etc. This book fills this gap. The book can be used as a textbook for a one-semester or even one-year course on philosophy of mathematics. "Other textbooks on the philosophy of mathematics are aimed at philosophers. This book is aimed at mathematicians. Since the author is a mathematician, it is a valuable addition to the literature." - Mark Balaguer, California State University, Los Angeles "There are not many such texts available for mathematics students. I applaud efforts to foster the dialogue between mathematics and philosophy." - Michele Friend, George Washington University and CNRS, Lille, France