Heinz-Dieter Ebbinghaus

(Author)

Mathematical Logic (2021)Paperback - 2021, 30 May 2022

Mathematical Logic (2021)
Qty
1
Turbo
Ships in 2 - 3 days
In Stock
Free Delivery
Cash on Delivery
15 Days
Free Returns
Secure Checkout
Buy More, Save More
Part of Series
Graduate Texts in Mathematics
Print Length
304 pages
Language
English
Publisher
Springer
Date Published
30 May 2022
ISBN-10
3030738418
ISBN-13
9783030738419

Description

What is a mathematical proof? How can proofs be justified? Are there limitations to provability? To what extent can machines carry out mathe- matical proofs? Only in this century has there been success in obtaining substantial and satisfactory answers. The present book contains a systematic discussion of these results. The investigations are centered around first-order logic. Our first goal is Godel's completeness theorem, which shows that the con- sequence relation coincides with formal provability: By means of a calcu- lus consisting of simple formal inference rules, one can obtain all conse- quences of a given axiom system (and in particular, imitate all mathemat- ical proofs). A short digression into model theory will help us to analyze the expres- sive power of the first-order language, and it will turn out that there are certain deficiencies. For example, the first-order language does not allow the formulation of an adequate axiom system for arithmetic or analysis. On the other hand, this difficulty can be overcome--even in the framework of first-order logic-by developing mathematics in set-theoretic terms. We explain the prerequisites from set theory necessary for this purpose and then treat the subtle relation between logic and set theory in a thorough manner.

Product Details

Authors:
Heinz-Dieter EbbinghausJörg FlumWolfgang Thomas
Book Edition:
2021
Book Format:
Paperback
Country of Origin:
NL
Date Published:
30 May 2022
Dimensions:
23.39 x 15.6 x 1.68 cm
ISBN-10:
3030738418
ISBN-13:
9783030738419
Language:
English
Location:
Cham
Pages:
304
Publisher:
Weight:
444.52 gm

Related Categories


Need Help?
+971 6 731 0280
support@gzb.ae

About UsContact UsPayment MethodsFAQsShipping PolicyRefund and ReturnTerms of UsePrivacy PolicyCookie Notice

VisaMastercardCash on Delivery

© 2024 White Lion General Trading LLC. All rights reserved.