A Friendly Introduction to Mathematical Logic - Softcover

Leary, Christopher C.; Kristiansen, Lars

Softcover

ISBN 10: 1942341075 ISBN 13: 9781942341079

Publisher: Milne Library, 2015

Synopsis

At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.

About this title

From the Back Cover

This user-friendly introduction to the key concepts of mathematical logic focuses on concepts that are used by mathematicians in every branch of the subject. Using an assessible, conversational style, it approaches the subject mathematically (with precise statements of theorems and correct proofs), exposing readers to the strength and power of mathematics, as well as its limitations, as they work through challenging and technical results. Structures and Languages. Deductions. Comnpleteness and Compactness. Incompleteness--Groundwork. The Incompleteness Theorems. Set Theory. : For readers in mathematics or related fields who want to learn about the key concepts and main results of mathematical logic that are central to the understanding of mathematics as a whole.

Edition details

• Publisher: Milne Library
• Publication date: 2015
• Language: English
• ISBN 10: 1942341075
• ISBN 13: 9781942341079
• Binding: Paperback
• Edition number: 2
• Number of pages: 380