Read Logic and Structure

Logic and Structure

Dirk van Dalen

4.9/5 (10859 ratings)

Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Logic and Structure. To get started finding Logic and Structure, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: —

Release: 2004

ISBN: 3540208798

Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Logic and Structure. To get started finding Logic and Structure, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

Logic and Structure

Logic and Structure

More Books

L.E.J. Brouwer – Topologist, Intuitionist, Philosopher: How Mathematics Is Rooted in Life

L.E.J. Brouwer – Topologist, Intuitionist, Philosopher: How Mathematics Is Rooted in Life

Logic And Structure (Universitext) by Dirk van Dalen (2008-09-01)

Logic And Structure (Universitext) by Dirk van Dalen (2008-09-01)

Logic and Structure (Universitext) by Dirk van Dalen (2012-11-13)

Logic and Structure (Universitext) by Dirk van Dalen (2012-11-13)

Hans Freudenthal: Selecta (Heritage of European Mathematics) by Tonny A. Springer and Dirk van Dalen (2009-10-15)

Hans Freudenthal: Selecta (Heritage of European Mathematics) by Tonny A. Springer and Dirk van Dalen (2009-10-15)

[(The Selected Correspondence of L. E. J. Brouwer )] [Author: Dirk Van Dalen] [Aug-2011]

[(The Selected Correspondence of L. E. J. Brouwer )] [Author: Dirk Van Dalen] [Aug-2011]

L.E.J. Brouwer - Topologist, Intuitionist, Philosopher: How Mathematics Is Rooted in Life by Dirk van Dalen (2012-12-05)

L.E.J. Brouwer - Topologist, Intuitionist, Philosopher: How Mathematics Is Rooted in Life by Dirk van Dalen (2012-12-05)

Dirk van Dalen Festschrift (Quaestiones Infinitae)

Dirk van Dalen Festschrift (Quaestiones Infinitae)

G-d's Final Connection by Dirk J. Van Dalen (2003-09-17)

G-d's Final Connection by Dirk J. Van Dalen (2003-09-17)