Introduction To Symbolic Logic And Its Applications
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Introduction to Symbolic Logic and Its Applications by Rudolf Carnap Pdf
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.
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 by Chin-Liang Chang,Richard Char-Tung Lee Pdf
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.
Logic and Its Applications by Edmund Burke,Eric Foxley Pdf
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.
A Concise Introduction to Mathematical Logic by Wolfgang Rautenberg Pdf
Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.
The Logic of Our Language by Rodger L. Jackson,Melanie L. McLeod Pdf
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.
Introduction to Logic and Its Philosophy by Peter K. Schotch Pdf
Introduction to Logic and Its Philosophy is an introductory level textbook which covers symbolic logic as well as many topics in the philosophy of logic. The book is suitable for either a one or two semester course at the introductory level but contains material of interest to a wider audience. The treatment of formal semantics is quite different from the standard account, as just one example. In addition, more attention is given to issues in the history of logic than one generally finds in an introductory textbook. This book represents the distillation of more than thirty years of the author's involvement with logic curriculum development and pedagogy.
An Introduction to Formal Logic by Peter Smith Pdf
Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.
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.
This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.
The Second Edition of this text continues to provide a comprehensive introduction to Logic, a subject that is increasingly becoming popular among students. What distinguishes the text is its graded step-by-step approach to the subject, with informal logic forming the basis and Symbolic logic and Inductive logic forming the more advanced steps. The book also uses a hands-on approach to teaching of logic to induce self-learning, as shown in sections such as on how to create a truth table or a truth tree, on providing strategic tips for formal derivations, and on how to approach symbolization in predicate logic. The Appendices, including those on Indian logic and the nature of inference in Indian logic, are designed to create greater awareness about the extent and depth of the field among students. WHAT’S NEW TO THIS EDITION A new Appendix on Basic Set Theory. It covers all the fundamental concepts, principles and operations in Basic Set Theory. Some sections in Chapter 3 on Fallacies have been modified. Corrections/Modifications done wherever required. KEY FEATURES In-depth and extensive coverage of Predicate logic. Covers both Informal and Formal logic. Each section has many worked-out examples and exercises. Worked-out examples given in a step-by-step manner for easy compre-hension. Keywords at the end of each chapter. Intended primarily as a text for students of Philosophy, the book would also be useful to students of Mathematics, Computer Science and Engineering where Logic is offered as part of their course. Read More
