An Introduction To Mathematical Philosophy

Author : Bertrand Russell
Publisher : Courier Corporation
Page : 230 pages
File Size : 52,9 Mb
Release : 1993-01-01
Category : Mathematics
ISBN : 0486277240

Get Book

Introduction to Mathematical Philosophy by Bertrand Russell Pdf

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.

Author : Mark Colyvan
Publisher : Cambridge University Press
Page : 199 pages
File Size : 44,7 Mb
Release : 2012-06-14
Category : Mathematics
ISBN : 9780521826020

Get Book

An Introduction to the Philosophy of Mathematics by Mark Colyvan Pdf

A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.

Author : BERTRAND. RUSSELL
Publisher : Unknown
Page : 0 pages
File Size : 49,8 Mb
Release : 2018
Category : Electronic
ISBN : 1033092983

Get Book

INTRODUCTION TO MATHEMATICAL PHILOSOPHY by BERTRAND. RUSSELL Pdf

Author : Stewart Shapiro
Publisher : OUP Oxford
Page : 323 pages
File Size : 45,5 Mb
Release : 2000-07-13
Category : Philosophy
ISBN : 9780192893062

Get Book

Thinking about Mathematics by Stewart Shapiro Pdf

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 : Bertrand Russell
Publisher : Cosimo, Inc.
Page : 254 pages
File Size : 47,9 Mb
Release : 2007-12-01
Category : Philosophy
ISBN : 9781605200217

Get Book

Justice in War-time by Bertrand Russell Pdf

Justice in War-time, first published in 1916, is a collection of Bertrand Russell's essays on war. He claims that humans have an instinct toward war, but that this instinct needs to be sufficiently roused in order to spark conflict. He analyzes British foreign policy during the ten years before the First World War in an effort to discover how England may have contributed to the problem. The essays included in this volume are: . "An Appeal to the Intellectuals of Europe" . "The Ethics of War" . "War and Non-Resistance" . "Why Nations Love War" . "The Future of Anglo-German Rivalry" . "Is Permanent Peace Possible?" . "The Danger to Civilization" . "The Entente Policy, 1904-1915. A Reply to Professor Gilbert Murray" British philosopher and mathematician BERTRAND ARTHUR WILLIAM RUSSELL (1872-1970) won the Nobel Prize for Literature in 1950. Among his many works are Why I Am Not a Christian (1927), Power: A New Social Analysis (1938), and My Philosophical Development (1959).

Author : Øystein Linnebo
Publisher : Princeton University Press
Page : 214 pages
File Size : 46,5 Mb
Release : 2020-03-24
Category : Mathematics
ISBN : 9780691202297

Get Book

Philosophy of Mathematics by Øystein Linnebo Pdf

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 : Bertrand Russell
Publisher : Psychology Press
Page : 228 pages
File Size : 40,9 Mb
Release : 1993
Category : Mathematics
ISBN : 0415096049

Get Book

Introduction to Mathematical Philosophy by Bertrand Russell Pdf

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.

Author : Richard E. Hodel
Publisher : Courier Corporation
Page : 514 pages
File Size : 44,6 Mb
Release : 2013-01-01
Category : Mathematics
ISBN : 9780486497853

Get Book

An Introduction to Mathematical Logic by Richard E. Hodel Pdf

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 : Alfred North Whitehead,Bertrand Russell
Publisher : Cambridge University Press
Page : 524 pages
File Size : 52,9 Mb
Release : 1927
Category : Mathematics
ISBN : 052106791X

Get Book

Principia Mathematica by Alfred North Whitehead,Bertrand Russell Pdf

The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.

Author : Alfred North Whitehead
Publisher : Courier Dover Publications
Page : 176 pages
File Size : 51,8 Mb
Release : 2017-05-04
Category : Mathematics
ISBN : 9780486821382

Get Book

An Introduction to Mathematics by Alfred North Whitehead Pdf

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 : Francisco Rodríguez-Consuegra
Publisher : Birkhäuser
Page : 249 pages
File Size : 54,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034875332

Get Book

The Mathematical Philosophy of Bertrand Russell: Origins and Development by Francisco Rodríguez-Consuegra Pdf

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 : E.W. Beth
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 44,5 Mb
Release : 2013-06-29
Category : Science
ISBN : 9789401722070

Get Book

Mathematical Thought by E.W. Beth Pdf

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.

Author : Howard W. Eves,Carroll Vincent Newsom,G. C. Evans
Publisher : Unknown
Page : 382 pages
File Size : 51,6 Mb
Release : 2012-05-01
Category : Electronic
ISBN : 1258329034

Get Book

An Introduction to the Foundations and Fundamental Concepts of Mathematics by Howard W. Eves,Carroll Vincent Newsom,G. C. Evans Pdf

Author : Joel David Hamkins
Publisher : MIT Press
Page : 350 pages
File Size : 48,8 Mb
Release : 2021-03-09
Category : Mathematics
ISBN : 9780262542234

Get Book

Lectures on the Philosophy of Mathematics by Joel David Hamkins Pdf

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 : Wolfgang Rautenberg
Publisher : Springer
Page : 337 pages
File Size : 42,5 Mb
Release : 2010-07-01
Category : Mathematics
ISBN : 9781441912213

Get Book

A Concise Introduction to Mathematical Logic by Wolfgang Rautenberg Pdf

Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.