Three Views of Logic: Mathematics, Philosophy, and Computer Science

3,33 durchschnittliche Bewertung
( 3 Bewertungen bei GoodReads )
 
9780691160443: Three Views of Logic: Mathematics, Philosophy, and Computer Science
Rezension:

"Overall, this is a well-written text with challenging exercises, proofs of important theorems, and a modern integrated approach." --Choice

"The book can serve as material for a course that teaches the role of logic in several disciplines. It can also be used as a supplementary text for a logic course that emphasizes the more traditional topics of logic but wishes to include a few special topics. Moreover, it can be a valuable resource for researchers and academics." --Roman Murawski, Zentralblatt MATH

"It's always interesting to find a text that reimagines, and offers a novel approach to, a fairly standard subject. This book does that for logic. . . . There is a lot of interesting and well-presented material found here that cannot be easily found elsewhere in a book at this level." --Mark Hunacek, Mathematical Association of America blog

Vom Verlag:


Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity.


The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time.


Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings.



  • Gives an exceptionally broad view of logic

  • Treats traditional logic in a modern format

  • Presents relevance logic with applications

  • Provides an ideal text for a variety of one-semester upper-level undergraduate courses


„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Neu kaufen Angebot ansehen

Versand: EUR 29,50
Von Deutschland nach USA

Versandziele, Kosten & Dauer

In den Warenkorb

Beste Suchergebnisse beim ZVAB

1.

Loveland, Donald W.; Hodel, Richard E.; Sterrett, S. G.
Verlag: Princeton Univers. Press Mrz 2014 (2014)
ISBN 10: 0691160449 ISBN 13: 9780691160443
Neu Taschenbuch Anzahl: 1
Anbieter
AHA-BUCH GmbH
(Einbeck, Deutschland)
Bewertung
[?]

Buchbeschreibung Princeton Univers. Press Mrz 2014, 2014. Taschenbuch. Buchzustand: Neu. 255x179x30 mm. Neuware - Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this consice undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical theory. The book balances accessibility , breath, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. 322 pp. Englisch. Artikel-Nr. 9780691160443

Weitere Informationen zu diesem Verkäufer | Frage an den Anbieter

Neu kaufen
EUR 43,49
Währung umrechnen

In den Warenkorb

Versand: EUR 29,50
Von Deutschland nach USA
Versandziele, Kosten & Dauer