Logic and Structure.

Dirk, van Dalen:

ISBN 10: 3540098933 / ISBN 13: 9783540098935

Published by Berlin, Springer, 1980

About this Item

174 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. 3540098933 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2340988

Bibliographic Details

• Title: Logic and Structure.
• Publisher: Berlin, Springer
• Publication Date: 1980
• Language: English
• ISBN 10: 3540098933
• ISBN 13: 9783540098935
• Binding: Softcover
• Condition: Gut
• Weight: 550 grams
• Seller catalogs:
  • TA Allgemeine Naturwissenschaften

About this title

Synopsis

Paperback in acceptable condition. Ex-library. Laminated covers are lightly marked and scored. Sticker residue on front cover and spine. Leading corners, edges and spine ends are lightly bumped and worn. Page block is marked. Library labels and stamp on rear inside cover. Stains and minor creases throughout pages. Text remains clear throughout. Binding is sound. HCW

From the Back Cover

A book which efficiently presents the basics of propositional and predicate logic, van Dalen’s popular textbook contains a complete treatment of elementary classical logic, using Gentzen’s Natural Deduction. Propositional and predicate logic are treated in separate chapters in a leisured but precise way. Chapter Three presents the basic facts of model theory, e.g. compactness, Skolem-Löwenheim, elementary equivalence, non-standard models, quantifier elimination, and Skolem functions. The discussion of classical logic is rounded off with a concise exposition of second-order logic. In view of the growing recognition of constructive methods and principles, one chapter is devoted to intuitionistic logic. Completeness is established for Kripke semantics. A number of specific constructive features, such as apartness and equality, the Gödel translation, the disjunction and existence property have been incorporated. The power and elegance of natural deduction is demonstrated best in the part of proof theory called `cut-elimination' or `normalization'. Chapter 6 is devoted to this topic; it contains the basic facts on the structure of derivations, both classically and intuitionistically. Finally, this edition contains a new chapter on Gödel's first incompleteness theorem. The chapter is self-contained, it provides a systematic exposition of primitive recursion and partial recursive functions, recursive by enumerable sets, and recursive separability. The arithmetization of Peano's arithmetic is based on the natural deduction system.