Skip to content

Your Cart


You have 0 items in your cart.

Register Sign in Wishlist
The Foundations of Mathematics in the Theory of Sets

The Foundations of Mathematics in the Theory of Sets

$221.00 (C)

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: April 2001
  • availability: Available
  • format: Hardback
  • isbn: 9780521770347

$ 221.00 (C)

Add to cart Add to wishlist

Other available formats:
Paperback, eBook

Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • This unified approach to the foundations of mathematics in the theory of sets covers both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of "natural number" and "set". The book contains an investigation of the logic of quantification over the universe of sets and a discussion of its role in second order logic, and the analysis of proof by induction and definition by recursion. The book should appeal to both philosophers and mathematicians with an interest in the foundations of mathematics.

    • Written by a leading researcher in the field
    • Of interest to philosophers as well as mathematicians
    • At the time of publication, there were no other books that deal with the foundations of mathematics in such detail
    Read more

    Reviews & endorsements

    " invigorating call to foundational arms..." Notre Dame Journal of Formal Logic

    "...this book is thought provoking...a distinctive approach to the twin issues of mathematical ontology and mathematical foundations..." Australasian Journal of Philosophy

    "...I also think that it is one of the more philosophically significant books to have been written on this topic in some time. It provides much food for thought... this should certainly be acknowledged as an important piece of conceptual analysis, one which suggests interesting avenues for further exploration." Mary Tiles, Philosophia Mathematica

    "...a very lively book, filled with striking theses..." The Bulletin of Symbolic Logic

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: April 2001
    • format: Hardback
    • isbn: 9780521770347
    • length: 446 pages
    • dimensions: 237 x 163 x 27 mm
    • weight: 0.8kg
    • availability: Available
  • Table of Contents

    Part I. Preliminaries:
    1. The idea of foundations of mathematics
    2. Simple arithmetic
    Part II. Basic Set Theory:
    3. Semantics, ontology and logic
    4. The principal axioms and definitions of set theory
    Part III. Cantorian Set Theory:
    5. Cantorian finitism
    6. The axiomatic method
    7. Axiomatic set theory
    Part IV. Euclidean Set Theory:
    8. Euclidian finitism
    9. The Euclidean theory of cardinality
    10. The theory of simply infinite systems
    11. Euclidean set theory from the Cantorian standpoint
    12. Envoi

  • Author

    John P. Mayberry

Sign In

Please sign in to access your account


Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.