An Historical Introduction to the Philosophy of Mathematics: A Reader

An Historical Introduction to the Philosophy of Mathematics: A Reader
Author: Russell Marcus
Publisher: Bloomsbury Publishing
Total Pages: 849
Release: 2016-02-11
Genre: Philosophy
ISBN: 1472529480

A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.

Philosophy of Mathematics

Philosophy of Mathematics
Author: Paul Benacerraf
Publisher: Cambridge University Press
Total Pages: 604
Release: 1983
Genre: Mathematics
ISBN: 9780521296489

Seminal articles in the philosophy of mathematics by Russell, Quine, Gödel and other major thinkers.

The Philosophy of Philip Kitcher

The Philosophy of Philip Kitcher
Author: Mark Couch
Publisher: Oxford University Press
Total Pages: 329
Release: 2016-05-12
Genre: Science
ISBN: 0199381364

The Philosophy of Philip Kitcher contains eleven chapters on the work of noted philosopher Philip Kitcher, whose work is known for its broad range and insightfulness. Topics covered include philosophy of science, philosophy of biology, philosophy of mathematics, ethics, epistemology, and philosophy of religion. Each of the chapters is followed by a reply from Kitcher himself. This first significant edited volume devoted to examining Kitcher's work is an essential reference for anyone interested in understanding this important philosopher.

Platonism and Anti-Platonism in Mathematics

Platonism and Anti-Platonism in Mathematics
Author: Mark Balaguer
Publisher:
Total Pages: 234
Release: 2001
Genre: Mathematics
ISBN: 9780195143980

In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible. (Philosophy)

Connecting Humans to Equations

Connecting Humans to Equations
Author: Ole Ravn
Publisher: Springer
Total Pages: 197
Release: 2019-02-06
Genre: Education
ISBN: 3030013375

Connecting Humans to Equations: A Reinterpretation of the Philosophy of Mathematics presents some of the most important positions in the philosophy of mathematics, while adding new dimensions to this philosophy. Mathematics is an integral part of human and social life, meaning that a philosophy of mathematics must include several dimensions. This book describes these dimensions by the following four questions that structure the content of the book: Where is mathematics? How certain is mathematics? How social is mathematics? How good is mathematics? These four questions refer to the ontological, epistemological, social, and ethical dimension of a philosophy of mathematics. While the ontological and epistemological dimensions have been explored in all classic studies in the philosophy of mathematics, the exploration of the book is unique in its social and ethical dimensions. It argues that the foundation of mathematics is deeply connected to human and social actions and that mathematics includes not just descriptive but also performative features. This human-centered and accessible interpretation of mathematics is relevant for students in mathematics, mathematics education, and any technical discipline and for anybody working with mathematics.

Mathematical Pluralism

Mathematical Pluralism
Author: Graham Priest
Publisher: Cambridge University Press
Total Pages: 93
Release: 2024-04-30
Genre: Philosophy
ISBN: 1009089080

Mathematical pluralism is the view that there is an irreducible plurality of pure mathematical structures, each with their own internal logics; and that qua pure mathematical structures they are all equally legitimate. Mathematical pluralism is a relatively new position on the philosophical landscape. This Element provides an introduction to the position.

Mathematical Thought

Mathematical Thought
Author: E.W. Beth
Publisher: Springer Science & Business Media
Total Pages: 220
Release: 2013-06-29
Genre: Science
ISBN: 9401722072

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.