COVID-19 Response at

Read what we're doing...

An Historical Introduction to the Philosophy of Mathematics


Product Description
Product Details

Table of Contents

How to use this book Introduction: Terminology and Axioms Part I: Ancients and Medievals Introductory overview I.1. Pythagoreans I.2. Parmenides and Zeno's Paradoxes I.3. Plato I.4. Aristotle Part II: Moderns Introductory overview II.1. The Rationalists II.2. The Empiricists II.3. Kant Part III: 19th and Early 20th Centuries Introductory overview III.1. Mill III.2. Cantor III.3. Logicism III.4. Formalism III.5. Intuitionism III.6. Conventionalism III.7. Wittgenstein III.8. Goedel's Theorem III.9. Goedel's Platonism Part IV: Contemporary Views Introductory overview IV.1. The Problem IV.2. The Indispensability Argument IV.3. Benacerraf's Number Puzzle and Structuralism IV.4. Modalism IV.5. Fictionalism. IV.6. Apriorism IV.7. Naturalism. IV.8. Plenitudinous Platonism V.9. Challenges to Mathematical Apriorism Bibliography Index

Promotional Information

An introduction to the philosophy of mathematics, using a collection of historical sources with an informed eye to contemporary debates.

About the Author

Russell Marcus is Assistant Professor in the Department of Philosophy at Hamilton College, New York, USA. Mark McEvoy is Associate Professor of Philosophy at Hofstra University, USA.


This is a reader-friendly, broad collection of original works on the philosophy of mathematics, ranging from Pythagoras to other contemporary authors. The subjects are organized chronologically, rather than thematically. Each chapter starts with a valuable introductory overview; this puts the original works of the chapter into context, suggests aspects of information to explore, and offers recommendations for further reading. Part 1 ("Ancients"-Pythagoras, Plato and Aristotle) and part 2 ("Moderns"-Descartes, Leibniz, Locke, Kant, etc.) are primarily meant for undergraduate and beginning graduate students. The later parts of the work will be of interest to advanced graduate students and researchers. These include part 3 ("Nineteenth and Early Twentieth Centuries") and part 4 ("Contemporary Views"), which comprise more than two-thirds of the volume. Particularly refreshing is the fact that the book explores classic authors like Cantor and Goedel. However, the book also surveys the contemporary school of "experimental mathematics" and the ideas of its proponents-Doron Zeilberger (Rutgers Univ.) and Jonathan Borwein (The Univ. of Newcastle, Australia). This branch of mathematics did not exist as recently as 25 years ago. As a result, it is a milestone for experimental mathematics to be discussed in this volume. * CHOICE *
[This book] brings together an impressive collection of primary sources from ancient and modern philosophy of mathematics ... It is aimed primarily at undergraduates and early graduate students, however it can serve as an invaluable sourcebook for working researchers as well. * Zentralblatt MATH *
This rich historical collection is an invaluable resource. The greats are represented from Pythagorus to Putnam. Classic issues and even current ones, such as fictionalism and naturalism, are included. Plato famously insisted that no one gets into his academy who is ignorant of geometry. Today we should insist that no one gets out of the academy who is ignorant of the philosophy of mathematics. This book will greatly help in that regard. -- James Robert Brown, Professor of Philosophy, University of Toronto, Canada and author of 'Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures'
A highly-accessible introduction to the philosophy of mathematics. This well-curated reader includes engaging introductory essays for each chapter that will help students tackle some challenging material. It is a welcome addition to the pedagogical literature. -- Lisa Warenski * Dr. Lisa Warenski, The City College of New York, USA *
This is a unique anthology of texts in the philosophy of mathematics, thematically grouped, with informative introductory overviews. * Mathematical Reviews *

Ask a Question About this Product More...
Write your question below:
Look for similar items by category
Home » Books » Science » Mathematics » General
Home » Books » Nonfiction » Philosophy » Logic
People also searched for
How Fishpond Works
Fishpond works with suppliers all over the world to bring you a huge selection of products, really great prices, and delivery included on over 25 million products that we sell. We do our best every day to make Fishpond an awesome place for customers to shop and get what they want — all at the best prices online.
Webmasters, Bloggers & Website Owners
You can earn a 8% commission by selling An Historical Introduction to the Philosophy of Mathematics: A Reader on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep! You should start right now!
Authors / Publishers
Are you the Author or Publisher of a book? Or the manufacturer of one of the millions of products that we sell. You can improve sales and grow your revenue by submitting additional information on this title. The better the information we have about a product, the more we will sell!
Item ships from and is sold by Fishpond World Ltd.
Back to top