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Author: Donald W. Loveland Publisher: Princeton University Press ISBN: 140084875X Category : Mathematics Languages : en Pages : 344
Book Description
Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses
Author: Donald W. Loveland Publisher: Princeton University Press ISBN: 140084875X Category : Mathematics Languages : en Pages : 344
Book Description
Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses
Author: Wolfgang Hofkirchner Publisher: World Scientific ISBN: 9811261032 Category : Mathematics Languages : en Pages : 315
Book Description
This book is a scientific basis for understanding the urgent need for a Great Transformation to a third step in social evolution. Already being a community of common destiny, humanity can form an actual unity through diversity to avoid extinction. Social actors can recognise informational imperatives for cognition, communication and co-operation to achieve such a unity. By doing so, they apply a logic that underlies the structuration of any agency, which is a real logic of self-organising systems from the physical to the social. This logic is the Logic of the Third — the Third is a meta-structure that emerges in a leap. The agents interact and when they co-act they are likely to form a real meta-structure of organisational relations. Informational agents anticipate this by generating requisite information in their attempt to cope with complex challenges. Such an information is a meta-structure too. The Third helps achieve synergy effects.This book discusses considerations from philosophy, systems theory, the study of information, social systems, social information, ecology and technology. It addresses ethical issues connected with the long-forgotten arms race in an atomic age, the global warming not yet under control, the pandemic misunderstood, the social question still unanswered.
Author: Eliot Freidson Publisher: John Wiley & Sons ISBN: 0745666299 Category : Social Science Languages : en Pages : 423
Book Description
Eliot Freidson has written the first systematic account of professionalism as a method of organizing work. In ideal-typical professionalism, specialized workers control their own work, while in the free market consumers are in command, and in bureaucracy managers dominate. Freidson shows how each method has its own logic requiring different kinds of knowledge, organization, career, education and ideology. He also discusses how historic and national variations in state policy, professional organization, and forms of practice influence the strength of professionalism. In appraising the embattled position of professions today, Freidson concludes that ideologically inspired attacks pose less danger to professionals' institutional privileges than to their ethical independence to resist use of their specialized knowledge to maximize profit and efficiency without also providing its benefits to all in need. This timely and original analysis will be of great interest to those in sociology, political science, history, business studies and the various professions.
Author: Colin Allen Publisher: MIT Press ISBN: 0262543648 Category : Philosophy Languages : en Pages : 175
Book Description
The new edition of a comprehensive and rigorous but concise introduction to symbolic logic. Logic Primer offers a comprehensive and rigorous introduction to symbolic logic, providing concise definitions of key concepts, illustrative examples, and exercises. After presenting the definitions of validity and soundness, the book goes on to introduce a formal language, proof theory, and formal semantics for sentential logic (chapters 1–3) and for first-order predicate logic (chapters 4–6) with identity (chapter 7). For this third edition, the material has been reorganized from four chapters into seven, increasing the modularity of the text and enabling teachers to choose alternative paths through the book. New exercises have been added, and all exercises are now arranged to support students moving from easier to harder problems. Its spare and elegant treatment makes Logic Primer unique among textbooks. It presents the material with minimal chattiness, allowing students to proceed more directly from topic to topic and leaving instructors free to cover the subject matter in the way that best suits their students. The book includes more than thirty exercise sets, with answers to many of them provided in an appendix. The book’s website allows students to enter and check proofs, truth tables, and other exercises interactively.
Author: Christopher C. Leary Publisher: Lulu.com ISBN: 1942341075 Category : Education Languages : en Pages : 382
Book Description
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.
Author: Langer Publisher: Courier Corporation ISBN: 9780486601649 Category : Mathematics Languages : en Pages : 390
Book Description
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.
Author: Mordechai Ben-Ari Publisher: Springer Science & Business Media ISBN: 1447103351 Category : Computers Languages : en Pages : 311
Book Description
This is a mathematics textbook with theorems and proofs. The choice of topics has been guided by the needs of computer science students. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. In order to provide a balanced treatment of logic, tableaux are related to deductive proof systems. The book presents various logical systems and contains exercises. Still further, Prolog source code is available on an accompanying Web site. The author is an Associate Professor at the Department of Science Teaching, Weizmann Institute of Science.
Author: David Simchi-Levi Publisher: Springer Science & Business Media ISBN: 0387226192 Category : Mathematics Languages : en Pages : 355
Book Description
Fierce competition in today's global market provides a powerful motivation for developing ever more sophisticated logistics systems. This book, written for the logistics manager and researcher, presents a survey of the modern theory and application of logistics. The goal of the book is to present the state-of-the-art in the science of logistics management. As a result, the authors have written a timely and authoritative survey of this field that many practitioners and researchers will find makes an invaluable companion to their work.
Author: Donald W. Loveland
Author: Donald W. Loveland
Author: Wolfgang Hofkirchner
Author: Eliot Freidson
Author: Colin Allen
Author: Christopher C. Leary
Author: Stan Baronett
Author: Langer
Author: Georg Gottlob
Author: Mordechai Ben-Ari
Author: David Simchi-Levi