Mathematics And Philosophy
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Author |
: Øystein Linnebo |
Publisher |
: Princeton University Press |
Total Pages |
: 214 |
Release |
: 2020-03-24 |
ISBN-10 |
: 9780691202297 |
ISBN-13 |
: 069120229X |
Rating |
: 4/5 (97 Downloads) |
Synopsis Philosophy of Mathematics by : Øystein Linnebo
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 |
: David Bostock |
Publisher |
: John Wiley & Sons |
Total Pages |
: 345 |
Release |
: 2009-03-09 |
ISBN-10 |
: 9781405189927 |
ISBN-13 |
: 1405189924 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Philosophy of Mathematics by : David Bostock
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 |
: Charles D. Parsons |
Publisher |
: Cornell University Press |
Total Pages |
: 367 |
Release |
: 2018-08-06 |
ISBN-10 |
: 9781501729324 |
ISBN-13 |
: 1501729322 |
Rating |
: 4/5 (24 Downloads) |
Synopsis Mathematics in Philosophy by : Charles D. Parsons
This important book by a major American philosopher brings together eleven essays treating problems in logic and the philosophy of mathematics. A common point of view, that mathematical thought is central to our thought in general, underlies the essays. In his introduction, Parsons articulates that point of view and relates it to past and recent discussions of the foundations of mathematics. Mathematics in Philosophy is divided into three parts. Ontology—the question of the nature and extent of existence assumptions in mathematics—is the subject of Part One and recurs elsewhere. Part Two consists of essays on two important historical figures, Kant and Frege, and one contemporary, W. V. Quine. Part Three contains essays on the three interrelated notions of set, class, and truth.
Author |
: Bertrand Russell |
Publisher |
: |
Total Pages |
: 224 |
Release |
: 1920 |
ISBN-10 |
: UOM:39015075979883 |
ISBN-13 |
: |
Rating |
: 4/5 (83 Downloads) |
Synopsis Introduction to Mathematical Philosophy by : Bertrand Russell
Author |
: Ahmet Cevik |
Publisher |
: CRC Press |
Total Pages |
: 352 |
Release |
: 2021-11-09 |
ISBN-10 |
: 9781000468809 |
ISBN-13 |
: 1000468801 |
Rating |
: 4/5 (09 Downloads) |
Synopsis Philosophy of Mathematics by : Ahmet Cevik
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
Author |
: Mark Colyvan |
Publisher |
: Cambridge University Press |
Total Pages |
: 199 |
Release |
: 2012-06-14 |
ISBN-10 |
: 9780521826020 |
ISBN-13 |
: 0521826020 |
Rating |
: 4/5 (20 Downloads) |
Synopsis An Introduction to the Philosophy of Mathematics by : Mark Colyvan
A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.
Author |
: Joel David Hamkins |
Publisher |
: MIT Press |
Total Pages |
: 350 |
Release |
: 2021-03-09 |
ISBN-10 |
: 9780262542234 |
ISBN-13 |
: 0262542234 |
Rating |
: 4/5 (34 Downloads) |
Synopsis Lectures on the Philosophy of Mathematics by : Joel David Hamkins
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 |
: Paolo Mancosu |
Publisher |
: Oxford University Press on Demand |
Total Pages |
: 460 |
Release |
: 2008-06-19 |
ISBN-10 |
: 9780199296453 |
ISBN-13 |
: 0199296456 |
Rating |
: 4/5 (53 Downloads) |
Synopsis The Philosophy of Mathematical Practice by : Paolo Mancosu
There is an urgent need in philosophy of mathematics for new approaches which pay closer attention to mathematical practice. This book will blaze the trail: it offers philosophical analyses of important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.
Author |
: Alexander George |
Publisher |
: Oxford University Press, USA |
Total Pages |
: 218 |
Release |
: 1994 |
ISBN-10 |
: 9780195079296 |
ISBN-13 |
: 0195079299 |
Rating |
: 4/5 (96 Downloads) |
Synopsis Mathematics and Mind by : Alexander George
The essays in this volume investigate the conceptual foundations of mathematics illuminating the powers of the mind. Contributors include Alexander George, Michael Dummett, George Boolos, W.W. Tait, Wilfried Sieg, Daniel Isaacson, Charles Parsons, and Michael Hallett.
Author |
: Thomas Tymoczko |
Publisher |
: Princeton University Press |
Total Pages |
: 458 |
Release |
: 1998-02 |
ISBN-10 |
: 0691034982 |
ISBN-13 |
: 9780691034980 |
Rating |
: 4/5 (82 Downloads) |
Synopsis New Directions in the Philosophy of Mathematics by : Thomas Tymoczko
The traditional debate among philosophers of mathematics is whether there is an external mathematical reality, something out there to be discovered, or whether mathematics is the product of the human mind. This provocative book, now available in a revised and expanded paperback edition, goes beyond foundationalist questions to offer what has been called a "postmodern" assessment of the philosophy of mathematics--one that addresses issues of theoretical importance in terms of mathematical experience. By bringing together essays of leading philosophers, mathematicians, logicians, and computer scientists, Thomas Tymoczko reveals an evolving effort to account for the nature of mathematics in relation to other human activities. These accounts include such topics as the history of mathematics as a field of study, predictions about how computers will influence the future organization of mathematics, and what processes a proof undergoes before it reaches publishable form. This expanded edition now contains essays by Penelope Maddy, Michael D. Resnik, and William P. Thurston that address the nature of mathematical proofs. The editor has provided a new afterword and a supplemental bibliography of recent work.