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Michal Walicki Introduction To Mathematical Logic (Extend (Hardback) (UK IMPORT)

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Book Title
Introduction To Mathematical Logic (Extended Edition)
Title
Introduction To Mathematical Logic (Extended Edition)
EAN
9789814719957
ISBN
9789814719957
Edition
Extended ed
Release Date
10/03/2016
Release Year
2016
Country/Region of Manufacture
SG
Genre
Science Nature & Math
Category

About this product

Product Identifiers

Publisher
World Industries Scientific Publishing Co Pte LTD
ISBN-10
9814719951
ISBN-13
9789814719957
eBay Product ID (ePID)
219308453

Product Key Features

Number of Pages
292 Pages
Publication Name
Introduction to Mathematical Logic
Language
English
Subject
History & Philosophy, Logic, Discrete Mathematics
Publication Year
2016
Type
Textbook
Author
Michal Walicki
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Weight
0 Oz

Additional Product Features

Intended Audience
Trade
LCCN
2016-015933
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
511.3
Synopsis
This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students. Starting with the basics of set theory, induction and computability, it covers propositional and first order logic -- their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts. Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules -- of a high, though often neglected, pedagogical value -- aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers. An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic. This revised edition contains also, besides many new exercises, a new chapter on semantic paradoxes. An equivalence of logical and graphical representations allows us to see vicious circularity as the odd cycles in the graphical representation and can be used as a simple tool for diagnosing paradoxes in natural discourse., This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.Starting with the basics of set theory, induction and computability, it covers propositional and first order logic -- their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts.Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules -- of a high, though often neglected, pedagogical value -- aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers.An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic.This revised edition contains also, besides many new exercises, a new chapter on semantic paradoxes. An equivalence of logical and graphical representations allows us to see vicious circularity as the odd cycles in the graphical representation and can be used as a simple tool for diagnosing paradoxes in natural discourse.
LC Classification Number
QA9.W334 2016

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