skip to content
Mathematical Logic Preview this item
ClosePreview this item
Checking...

Mathematical Logic

Author: H -D Ebbinghaus; J Flum; W Thomas
Publisher: New York, NY : Springer New York, 1994.
Series: Undergraduate texts in mathematics.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Summary:
This junior/senior level text is devoted to a study of first-order logic and its role in the foundations of mathematics: What is a proof? How can a proof be justified? To what extent can a proof be made a purely mechanical procedure? How much faith can we have in a proof that is so complex that no one can follow it through in a lifetime? The first substantial answers to these questions have only been obtained in  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: H -D Ebbinghaus; J Flum; W Thomas
ISBN: 9781475723557 1475723555
OCLC Number: 851760204
Language Note: English.
Description: 1 online resource (x, 290 pages)
Contents: A --
I Introduction --
II Syntax of First-Order Languages --
III Semantics of First-Order Languages --
IV A Sequent Calculus --
V The Completeness Theorem --
VI The Löwenheim-Skolem and the Compactness Theorem --
VII The Scope of First-Order Logic --
VIII Syntactic Interpretations and Normal Forms --
B --
IX Extensions of First-Order Logic --
X Limitations of the Formal Method --
XI Free Models and Logic Programming --
XII An Algebraic Characterization of Elementary Equivalence --
XIII Lindström's Theorems --
References --
Symbol Index.
Series Title: Undergraduate texts in mathematics.
Responsibility: by H.-D. Ebbinghaus, J. Flum, W. Thomas.

Abstract:

This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and  Read more...

Reviews

Editorial reviews

Publisher Synopsis

"...the book remains my text of choice for this type of material, and I highly recommend it to anyone teaching a first logic course at this level." - Journal of Symbolic Logic

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.