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Introduction to Symbolic Logic and Its Applications

Author : Rudolf Carnap
Publisher : Courier Corporation
Page : 280 pages
File Size : 21,67 MB
Release : 2012-07-12
Category : Mathematics
ISBN : 048614349X

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Clear, comprehensive, and rigorous treatment develops the subject from elementary concepts to the construction and analysis of relatively complex logical languages. Hundreds of problems, examples, and exercises. 1958 edition.

An Introduction to Symbolic Logic

Author : Langer
Publisher : Courier Corporation
Page : 390 pages
File Size : 23,84 MB
Release : 1967-01-01
Category : Mathematics
ISBN : 9780486601649

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Famous classic has introduced countless readers to symbolic logic with its thorough and precise exposition. Starts with simple symbols and conventions and concludes with the Boole-Schroeder and Russell-Whitehead systems. No special knowledge of mathematics necessary. "One of the clearest and simplest introductions to a subject which is very much alive." — Mathematics Gazette.

Symbolic Logic and Mechanical Theorem Proving

Author : Chin-Liang Chang
Publisher : Academic Press
Page : 349 pages
File Size : 39,10 MB
Release : 2014-06-28
Category : Mathematics
ISBN : 0080917283

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This book contains an introduction to symbolic logic and a thorough discussion of mechanical theorem proving and its applications. The book consists of three major parts. Chapters 2 and 3 constitute an introduction to symbolic logic. Chapters 4-9 introduce several techniques in mechanical theorem proving, and Chapters 10 an 11 show how theorem proving can be applied to various areas such as question answering, problem solving, program analysis, and program synthesis.

The Logic of Our Language

Author : Rodger L. Jackson
Publisher : Broadview Press
Page : 354 pages
File Size : 21,48 MB
Release : 2014-11-04
Category : Philosophy
ISBN : 1460402782

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The Logic of Our Language teaches the practical and everyday application of formal logic. Rather than overwhelming the reader with abstract theory, Jackson and McLeod show how the skills developed through the practice of logic can help us to better understand our own language and reasoning processes. The authors’ goal is to draw attention to the patterns and logical structures inherent in our spoken and written language by teaching the reader how to translate English sentences into formal symbols. Other logical tools, including truth tables, truth trees, and natural deduction, are then introduced as techniques for examining the properties of symbolized sentences and assessing the validity of arguments. A substantial number of practice questions are offered both within the book itself and as interactive activities on a companion website.

Logic with Trees

Author : Colin Howson
Publisher : Routledge
Page : 206 pages
File Size : 18,17 MB
Release : 2005-10-11
Category : Philosophy
ISBN : 1134785518

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Logic With Trees is a new and original introduction to modern formal logic. Unlike most texts, it also contains discussions on more philosophical issues such as truth, conditionals and modal logic. It presents the formal material with clarity, preferring informal explanations and arguments to intimidatingly rigorous development. Worked examples and excercises enable the readers to check their progress. Logic With Trees equips students with * a complete and clear account of the truth-tree system for first order logic * the importance of logic and its relevance to many different disciplines * the skills to grasp sophisticated formal reasoning techniques necessary to explore complex metalogic * the ability to contest claims that `ordinary' reasoning is well represented by formal first order logic The issues covered include a thorough discussion of truth-functional and full first order logic, using the truth-tree or semantic tableau approach. Completeness and Soundness proofs are given for both truth-functional and first order trees. Much use is made of induction, which is presented in a clear and consistent manner. There is also discussion of alternative deductive systems, an introduction to transfinite numbers and categoricity, the Lowenhein-Skolem theories and the celebrated findings of Godel and Church. The book concludes with an account of Kripke's attempted solution of the liar paradox and a discussion of the weakness of truth-functional account of conditionals. Particularly useful to those who favour critical accounts of formal reasoning, it will be of interest to students of philosophy at first level and beyond and also students of mathematics and computer science.

Logic and Its Applications

Author : Edmund Burke
Publisher :
Page : 336 pages
File Size : 42,83 MB
Release : 1996
Category : Computers
ISBN :

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This book is an introduction to mathematical logic and its application to the field of computer science. Starting with the first principles of logic, the theory is reinforced by detailed applications.