Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Introduction To Mathematical Philosophy full books in PDF, epub, and Kindle. Read online Introduction To Mathematical Philosophy ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Bertrand Russell
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.3/5 (91 download)
Download or read book Introduction to Mathematical Philosophy written by Bertrand Russell and published by . This book was released on 1920 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : BERTRAND. RUSSELL
Publisher :
ISBN 13 : 9781033092989
Total Pages : 0 pages
Book Rating : 4.0/5 (929 download)
Download or read book INTRODUCTION TO MATHEMATICAL PHILOSOPHY written by BERTRAND. RUSSELL and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mark Colyvan
Publisher : Cambridge University Press
ISBN 13 : 0521826020
Total Pages : 199 pages
Book Rating : 4.5/5 (218 download)
Download or read book An Introduction to the Philosophy of Mathematics written by Mark Colyvan and published by Cambridge University Press. This book was released on 2012-06-14 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.
Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.L/5 ( download)
Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Øystein Linnebo
Publisher : Princeton University Press
ISBN 13 : 069120229X
Total Pages : 214 pages
Book Rating : 4.6/5 (912 download)
Download or read book Philosophy of Mathematics written by Øystein Linnebo and published by Princeton University Press. This book was released on 2020-03-24 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Charles Hayes
Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.:/5 (9 download)
Download or read book A Treatise of Fluxions written by Charles Hayes and published by . This book was released on 1704 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stewart Shapiro
Publisher : OUP Oxford
ISBN 13 : 0192893068
Total Pages : 323 pages
Book Rating : 4.1/5 (928 download)
Download or read book Thinking about Mathematics written by Stewart Shapiro and published by OUP Oxford. This book was released on 2000-07-13 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Paul Benacerraf
Publisher : Cambridge University Press
ISBN 13 : 1107268133
Total Pages : pages
Book Rating : 4.1/5 (72 download)
Download or read book Philosophy of Mathematics written by Paul Benacerraf and published by Cambridge University Press. This book was released on 1984-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Joel David Hamkins
Publisher : MIT Press
ISBN 13 : 0262542234
Total Pages : 350 pages
Book Rating : 4.2/5 (625 download)
Download or read book Lectures on the Philosophy of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-03-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Alfred North Whitehead
Publisher : Courier Dover Publications
ISBN 13 : 0486821382
Total Pages : 176 pages
Book Rating : 4.4/5 (868 download)
Download or read book An Introduction to Mathematics written by Alfred North Whitehead and published by Courier Dover Publications. This book was released on 2017-05-04 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Richard E. Hodel
Publisher : Courier Corporation
ISBN 13 : 0486497852
Total Pages : 514 pages
Book Rating : 4.4/5 (864 download)
Download or read book An Introduction to Mathematical Logic written by Richard E. Hodel and published by Courier Corporation. This book was released on 2013-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.
Author : Paolo Mancosu
Publisher : OUP Oxford
ISBN 13 : 0191559091
Total Pages : 460 pages
Book Rating : 4.1/5 (915 download)
Download or read book The Philosophy of Mathematical Practice written by Paolo Mancosu and published by OUP Oxford. This book was released on 2008-06-19 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary philosophy of mathematics offers us an embarrassment of riches. Among the major areas of work one could list developments of the classical foundational programs, analytic approaches to epistemology and ontology of mathematics, and developments at the intersection of history and philosophy of mathematics. But anyone familiar with contemporary philosophy of mathematics will be aware of the need for new approaches that pay closer attention to mathematical practice. This book is the first attempt to give a coherent and unified presentation of this new wave of work in philosophy of mathematics. The new approach is innovative at least in two ways. First, it holds that there are important novel characteristics of contemporary mathematics that are just as worthy of philosophical attention as the distinction between constructive and non-constructive mathematics at the time of the foundational debates. Secondly, it holds that many topics which escape purely formal logical treatment - such as visualization, explanation, and understanding - can nonetheless be subjected to philosophical analysis. The Philosophy of Mathematical Practice comprises an introduction by the editor and eight chapters written by some of the leading scholars in the field. Each chapter consists of short introduction to the general topic of the chapter followed by a longer research article in the area. The eight topics selected represent a broad spectrum of contemporary philosophical reflection on different aspects of mathematical practice: diagrammatic reasoning and representation systems; visualization; mathematical explanation; purity of methods; mathematical concepts; the philosophical relevance of category theory; philosophical aspects of computer science in mathematics; the philosophical impact of recent developments in mathematical physics.
Author : Francisco Rodríguez-Consuegra
Publisher : Birkhäuser
ISBN 13 : 3034875339
Total Pages : 249 pages
Book Rating : 4.0/5 (348 download)
Download or read book The Mathematical Philosophy of Bertrand Russell: Origins and Development written by Francisco Rodríguez-Consuegra and published by Birkhäuser. This book was released on 2012-12-06 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: by Ivor Grattan-Guinness Until twenty years ago the outline history of logicism was well known. Frege had had the important ideas, until he was eclipsed by Wittgenstein. Russell was important in publicising the former and tutoring the latter, and also for working with Moore in the conversion of British philosophy from neo-Hegelianism to the new analytic tradition in the 1900s, but his own work on logic and especially logicism was very muddled. Around that time Russell, who was still alive, sold his manuscripts to McMaster University in Canada, and interest in his achievements in logic began to develop, especially after his death in 1970. Scholars found thousands of folios of unpublished holograph awaiting their attention, and also hundreds of pertinent letters (both in the Russell Archives and elsewhere in certain recipients' collections). Various facets of his work came to light for the first time, and others -which could have been gleaned from carefully reading of the published sources- gained new publicity from the evidence revealed in manuscripts. Even the technical passage work, which constitutes the unread majority of the Principia mathematica (1910-13) of Russell and Whitehead, began to receive a little respectful scrutiny. It turned out that Russell had done several pioneering things. While indeed often incoherent in reference and content, they comprised major forays into the new mathematical logic, of which he turned out to be a major founder: some are even of interest to modem studies.
Author : Michael Potter
Publisher : Clarendon Press
ISBN 13 : 0191556432
Total Pages : 362 pages
Book Rating : 4.1/5 (915 download)
Download or read book Set Theory and its Philosophy written by Michael Potter and published by Clarendon Press. This book was released on 2004-01-15 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.
Author : Bertrand Russell
Publisher :
ISBN 13 : 0415487412
Total Pages : 552 pages
Book Rating : 4.4/5 (154 download)
Download or read book Principles of Mathematics written by Bertrand Russell and published by . This book was released on 2009-08 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics.
Author : Bertrand Russell
Publisher : Taylor & Francis
ISBN 13 : 1000686973
Total Pages : 227 pages
Book Rating : 4.0/5 (6 download)
Download or read book Introduction to Mathematical Philosophy written by Bertrand Russell and published by Taylor & Francis. This book was released on 2022-09-15 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge, as to which comparative certainty is not yet attained. But separation of such questions is hardly likely to be fruitful unless the more scientific parts of mathematics are known. A book dealing with those parts may, therefore, claim to be an introduction to mathematical philosophy..." - Bertrand Russell, from the Preface First published in 1919, Introduction to Mathematical Philosophy shows Russell drawing on his formidable knowledge of philosophy and mathematics to write a brilliant introduction to the subject. Russell explains that mathematics can be approached in two distinct directions: one that is driven by a mechanical kind of simplicity and builds towards complexity, from integers to fractions and real numbers to complex ones; and one that searches for abstractness and logical simplicity by asking what general principles underlie mathematics. From here Russell introduces and explains, in his customary pellucid prose, the definition of numbers, finitude, correlation and relation, mathematical limits, infinity, propositional descriptions and classes. Russell concludes with a fascinating summary of the relationship between mathematics and logic, of which he states "logic is the youth of mathematics." This Routledge Classics edition includes a new Foreword by Michael Potter.
Author : Bertrand Russell
Publisher : Longman Publishing Group
ISBN 13 : 9780321273611
Total Pages : 200 pages
Book Rating : 4.2/5 (736 download)
Download or read book Russell's Introduction to Mathematical Philosophy written by Bertrand Russell and published by Longman Publishing Group. This book was released on 2007-12 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the Longman Library of Primary Sources in Philosophy," this edition of Russell's Introduction to Mathematical Philosophy is framed by a pedagogical structure designed to make this important work of philosophy more accessible and meaningful for readers. A General Introduction includes the work's historical context, a discussion of historical influences, and biographical information on Bertrand Russell. Annotations and notes from the editor clarify difficult passages for greater understanding, and a bibliography gives the reader additional resources for further study.
