Mathematical logic / Heinz-Dieter Ebbinghaus, Jörg Flum, Wolfgang Thomas.

"This textbook introduces first-order logic and its role in the foundations of mathematics by examining fundamental questions. What is a mathematical proof? How can mathematical proofs be justified? Are there limitations to provability? To what extent can machines carry out mathematical proofs?...

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Bibliographic Details
Main Authors: Ebbinghaus, Heinz-Dieter, 1939- (Author), Flum, Jörg (Author), Thomas, Wolfgang, 1947- (Author)
Format: Book
Language:English
German
Published: Cham, Switzerland : Springer, [2021]
Edition:Third edition.
Series:Graduate texts in mathematics ; 291.
Subjects:
Uniform Title:Einführung in die mathematische Logik.

MARC

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240 1 0 |a Einführung in die mathematische Logik.  |l English 
245 1 0 |a Mathematical logic /  |c Heinz-Dieter Ebbinghaus, Jörg Flum, Wolfgang Thomas. 
250 |a Third edition. 
264 1 |a Cham, Switzerland :  |b Springer,  |c [2021] 
300 |a ix, 304 pages :  |b illustrations ;  |c 25 cm. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Graduate texts in mathematics ;  |v 291 
504 |a Includes bibliographical references (pages 291-292) and index. 
520 |a "This textbook introduces first-order logic and its role in the foundations of mathematics by examining fundamental questions. What is a mathematical proof? How can mathematical proofs be justified? Are there limitations to provability? To what extent can machines carry out mathematical proofs? In answering these questions, this textbook explores the capabilities and limitations of algorithms and proof methods in mathematics and computer science."--Publisher's description. 
505 0 |a 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 Computability and Its Limitations -- XI Free Models and Logic Programming -- XII An Algebraic Characterization of Elementary Equivalence -- XIII Lindström's Theorems -- References -- List of Symbols -- Subject Index. 
650 0 |a Logic, Symbolic and mathematical. 
700 1 |a Flum, Jörg,  |e author. 
700 1 |a Thomas, Wolfgang,  |d 1947-  |e author. 
830 0 |a Graduate texts in mathematics ;  |v 291. 
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