Naturalism in Mathematics / Edition 1

Paperback (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $25.00
Usually ships in 1-2 business days
(Save 50%)
Other sellers (Paperback)
  • All (12) from $25.00   
  • New (6) from $39.78   
  • Used (6) from $25.00   


Naturalism in Mathematics investigates how the most fundamental assumptions of mathematics can be justified. One prevalent philosophical approach to the problem—realism—is examined and rejected in favor of another approach—naturalism. Penelope Maddy defines this naturalism, explains the motivation for it, and shows how it can be successfully applied in set theory. Her clear, original treatment of this fundamental issue is informed by current work in both philosophy and mathematics, and will be accessible and enlightening to readers from both disciplines.

Read More Show Less

Editorial Reviews

From the Publisher
"Maddy's knowledge of early and contemporary set theory, and of philosophically significant parts of the history of mathematics generally, is impressively wide and deep, and her discussions of these matters are illuminating and rewarding. She writes in a clear, forthright and challenging style. Her book is eminently readable, instructive, and thought-provoking."—The Journal of Symbolic Logic
Read More Show Less

Product Details

  • ISBN-13: 9780198250753
  • Publisher: Oxford University Press
  • Publication date: 9/14/2000
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 264
  • Product dimensions: 8.20 (w) x 5.20 (h) x 0.60 (d)

Meet the Author

Penelope Maddy is Professor of Philosophy at the University of California, Irvine, having previously held positions at the University of Illinois, Chicago, and the University of Notre Dame, Indiana.

Read More Show Less

Table of Contents

Pt. I The Problem 1
1 The Origins of Set Theory 3
2 Set Theory as a Foundation 22
3 The Standard Axioms 36
4 Independent Questions 63
5 New Axioms Candidates 73
6 V = L 82
Pt. II Realism 87
1 Godelian Realism 89
2 Quinean Realism 95
3 Set Theoretic Realism 108
4 A Realist's Case against V = L 110
5 Hints of Trouble 130
6 Indispensability and Scientific Practice 133
7 Indispensability and Mathematical Practice 158
Pt. III Naturalism 161
1 Wittgensteinian Anti-Philosophy 162
2 A Second Godelian Theme 172
3 Quinean Naturalism 177
4 Mathematical Naturalism 183
5 The Problem Revisited 206
6 A Naturalist's Case against V = L 216
Conclusion 233
Bibliography 235
Index 249
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)