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George Tourlakis - Mathematical Logic - 9780470280744 - V9780470280744
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Mathematical Logic

€ 147.50
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Description for Mathematical Logic Hardcover. A comprehensive and user-friendly guide to the use of logic in mathematical reasoning Mathematical Logic presents a comprehensive introduction to formal methods of logic and their use as a reliable tool for deductive reasoning. Num Pages: 320 pages, Illustrations. BIC Classification: PBCD. Category: (UU) Undergraduate. Dimension: 239 x 164 x 20. Weight in Grams: 556.
A comprehensive and user-friendly guide to the use of logic in mathematical reasoning

Mathematical Logic presents a comprehensive introduction to formal methods of logic and their use as a reliable tool for deductive reasoning. With its user-friendly approach, this book successfully equips readers with the key concepts and methods for formulating valid mathematical arguments that can be used to uncover truths across diverse areas of study such as mathematics, computer science, and philosophy.

The book develops the logical tools for writing proofs by guiding readers through both the established "Hilbert" style of proof writing, as well as the "equational" ... Read more

  • Logic can certify truths and only truths.
  • Logic can certify all absolute truths (completeness theorems of Post and Gödel).
  • Logic cannot certify all "conditional" truths, such as those that are specific to the Peano arithmetic. Therefore, logic has some serious limitations, as shown through Gödel's incompleteness theorem.

Numerous examples and problem sets are provided throughout the text, further facilitating readers' understanding of the capabilities of logic to discover mathematical truths. In addition, an extensive appendix introduces Tarski semantics and proceeds with detailed proofs of completeness and first incompleteness theorems, while also providing a self-contained introduction to the theory of computability.

With its thorough scope of coverage and accessible style, Mathematical Logic is an ideal book for courses in mathematics, computer science, and philosophy at the upper-undergraduate and graduate levels. It is also a valuable reference for researchers and practitioners who wish to learn how to use logic in their everyday work.

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Product Details

Format
Hardback
Publication date
2008
Publisher
John Wiley and Sons Ltd United Kingdom
Number of pages
320
Condition
New
Number of Pages
312
Place of Publication
, United States
ISBN
9780470280744
SKU
V9780470280744
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-50

About George Tourlakis
GEORGE TOURLAKIS, PhD, is University Professor of Computer Science and Engineering at York University, Canada. Dr. Tourlakis has authored or coauthored numerous articles in his areas of research interest, which include calculational logic, modal logic, computability, complexity theory, and arithmetical forcing.

Reviews for Mathematical Logic
“Overall, he presents the material as if he were holding a dialogue with the reader. An advanced independent reader with a very strong background in mathematics would find the book helpful in learning this area of mathematics. Summing Up: Recommended.” (Choice, April 2009) "The book would be ideas as an introduction to classical logic for students of mathematics, computer ... Read more

Goodreads reviews for Mathematical Logic


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