The Principles of Mathematics Revisited
- Author: Jaakko Hintikka, Boston University
- Date Published: October 1998
- availability: Available
- format: Paperback
- isbn: 9780521624985
Paperback
Other available formats:
eBook
Looking for an inspection copy?
Please email [email protected] to enquire about an inspection copy of this book
-
This book, written by one of philosophy's pre-eminent logicians, argues that many of the basic assumptions common to logic, philosophy of mathematics and metaphysics are in need of change. It is therefore a book of critical importance to logical theory. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations of mathematics. This new logic enables logicians to express on the first-order level such concepts as equicardinality, infinity, and truth in the same language. The famous impossibility results by Gödel and Tarski that have dominated the field for the last sixty years turn out to be much less significant than has been thought. All of ordinary mathematics can in principle be done on this first-order level, thus dispensing with the existence of sets and other higher-order entities.
Read more- Hintikka is an internationally renowned logician - well-known in Europe especially
- Important development in logical theory - the success of Boolos' The Logic of Provability indicates that books in this field by big names can do well
Reviews & endorsements
'Hintikka's new logic is highly original and will prove appealing to logicians, philosophers of mathematics, and mathematicians concerned with the foundations of the discipline.' Studia Logica
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: October 1998
- format: Paperback
- isbn: 9780521624985
- length: 304 pages
- dimensions: 215 x 140 x 22 mm
- weight: 0.362kg
- availability: Available
Table of Contents
1. The functions of logic and the problem of truth definition
2. The game of logic
3. Frege's fallacy foiled: Independence-friendly logic
4. The joys of independence: Some uses of IF logic
5. The complexities of completeness
6. Who's afraid of Alfred Tarski? Truth-definitions for IF first-order languages
7. The liar belied: negation in IF logic
8. Axiomatic set theory: Frankenstein's monster?
9. IF logic as a framework for mathematical theorizing
10. Constructivism reconstructed
11. The epistemology of mathematical objects.
related journals
also by this author
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×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.
×