Logic as a Tool

Logic as a Tool PDF

Author: Valentin Goranko

Publisher: John Wiley & Sons

Published: 2016-09-02

Total Pages: 384

ISBN-13: 1118880048

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Written in a clear, precise and user-friendly style, Logic as a Tool: A Guide to Formal Logical Reasoning is intended for undergraduates in both mathematics and computer science, and will guide them to learn, understand and master the use of classical logic as a tool for doing correct reasoning. It offers a systematic and precise exposition of classical logic with many examples and exercises, and only the necessary minimum of theory. The book explains the grammar, semantics and use of classical logical languages and teaches the reader how grasp the meaning and translate them to and from natural language. It illustrates with extensive examples the use of the most popular deductive systems -- axiomatic systems, semantic tableaux, natural deduction, and resolution -- for formalising and automating logical reasoning both on propositional and on first-order level, and provides the reader with technical skills needed for practical derivations in them. Systematic guidelines are offered on how to perform logically correct and well-structured reasoning using these deductive systems and the reasoning techniques that they employ. •Concise and systematic exposition, with semi-formal but rigorous treatment of the minimum necessary theory, amply illustrated with examples •Emphasis both on conceptual understanding and on developing practical skills •Solid and balanced coverage of syntactic, semantic, and deductive aspects of logic •Includes extensive sets of exercises, many of them provided with solutions or answers •Supplemented by a website including detailed slides, additional exercises and solutions For more information browse the book's website at: https://logicasatool.wordpress.com

Logic as a Tool

Logic as a Tool PDF

Author: Valentin Goranko

Publisher: John Wiley & Sons

Published: 2016-10-17

Total Pages: 386

ISBN-13: 1118880005

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Written in a clear, precise and user-friendly style, Logic as a Tool: A Guide to Formal Logical Reasoning is intended for undergraduates in both mathematics and computer science, and will guide them to learn, understand and master the use of classical logic as a tool for doing correct reasoning. It offers a systematic and precise exposition of classical logic with many examples and exercises, and only the necessary minimum of theory. The book explains the grammar, semantics and use of classical logical languages and teaches the reader how grasp the meaning and translate them to and from natural language. It illustrates with extensive examples the use of the most popular deductive systems -- axiomatic systems, semantic tableaux, natural deduction, and resolution -- for formalising and automating logical reasoning both on propositional and on first-order level, and provides the reader with technical skills needed for practical derivations in them. Systematic guidelines are offered on how to perform logically correct and well-structured reasoning using these deductive systems and the reasoning techniques that they employ. •Concise and systematic exposition, with semi-formal but rigorous treatment of the minimum necessary theory, amply illustrated with examples •Emphasis both on conceptual understanding and on developing practical skills •Solid and balanced coverage of syntactic, semantic, and deductive aspects of logic •Includes extensive sets of exercises, many of them provided with solutions or answers •Supplemented by a website including detailed slides, additional exercises and solutions For more information browse the book's website at: https://logicasatool.wordpress.com

Force of Logic

Force of Logic PDF

Author: Stephen M. Rice

Publisher: Aspen Publishing

Published: 2017-05-03

Total Pages: 429

ISBN-13: 1601566107

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Have you ever read a legal opinion and come across an odd term like the fallacy of denying the antecedent, the fallacy of the undistributed middle, or the fallacy of the illicit process and wondered how you missed that in law school? You’re not alone: every day, lawyers make arguments that fatally trespass the rules of formal logic—without realizing it—because traditional legal education often overlooks imparting the practical wisdom of ancient philosophy as it teaches students how to “think like a lawyer.” In his book, The Force of Logic: Using Formal Logic as a Tool in the Craft of Legal Argument, lawyer and law professor Stephen M. Rice guides you to develop your powers of legal reasoning in a new way, through effective tips and tactics that will forever change the way you argue your cases. Rice contends that formal logic provides tools that help lawyers distinguish good arguments from bad ones and, moreover, that they are simple to learn and use. When you know how to recognize logical fallacies, you will not only strengthen your own arguments, but you will also be able to punch holes in your opponent’s—and that can make the difference between winning and losing. In this book, Rice builds on the theoretical foundation of formal logic by demonstrating logical fallacies through the use of anecdotes, examples, graphical illustrations, and exercises for you to try that are derived from common case documents. It is a hands-on primer that presents a practical approach for understanding and mastering the place of formal logic in the art of legal reasoning. Whether you are a lawyer, a judge, a scholar, or a student, The Force of Logic will inspire you to love legal argument, and appreciate its beauty and complexity in a brand new way.

Tools for Teaching Logic

Tools for Teaching Logic PDF

Author: Patrick Blackburn

Publisher: Springer Science & Business Media

Published: 2011-05-23

Total Pages: 266

ISBN-13: 3642213499

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This book constitutes the proceedings of the Third International Congress on Tools for Teaching Logic, TICTTL 2011, held in Salamanca, Spain, in June 2011. The 30 papers presented were carefully reviewed and selected from 62 submissions. The congress focusses on a variety of topics including: logic teaching software, teaching formal methods, logic in the humanities, dissemination of logic courseware and logic textbooks, methods for teaching logic at different levels of instruction, presentation of postgraduate programs in logic, e-learning, logic games, teaching argumentation theory and informal logic, and pedagogy of logic.

Language in Action

Language in Action PDF

Author: Johan van Benthem

Publisher: MIT Press

Published: 1995

Total Pages: 390

ISBN-13: 9780262720243

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Language in Action demonstrates the viability of mathematical research into the foundations of categorial grammar, a topic at the border between logic and linguistics. Since its initial publication it has become the classic work in the foundations of categorial grammar. A new introduction to this paperback edition updates the open research problems and records relevant results through pointers to the literature. Van Benthem presents the categorial processing of syntax and semantics as a central component in a more general dynamic logic of information flow, in tune with computational developments in artificial intelligence and cognitive science. Using the paradigm of categorial grammar, he describes the substructural logics driving the dynamics of natural language syntax and semantics. This is a general type-theoretic approach that lends itself easily to proof-theoretic and semantic studies in tandem with standard logic. The emphasis is on a broad landscape of substructural categorial logics and their proof-theoretical and semantic peculiarities. This provides a systematic theory for natural language understanding, admitting of significant mathematical results. Moreover, the theory makes possible dynamic interpretations that view natural languages as programming formalisms for various cognitive activities.

Tools for Teaching Logic

Tools for Teaching Logic PDF

Author: Patrick Blackburn

Publisher: Springer

Published: 2011-06-11

Total Pages: 266

ISBN-13: 3642213502

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This book constitutes the proceedings of the Third International Congress on Tools for Teaching Logic, TICTTL 2011, held in Salamanca, Spain, in June 2011. The 30 papers presented were carefully reviewed and selected from 62 submissions. The congress focusses on a variety of topics including: logic teaching software, teaching formal methods, logic in the humanities, dissemination of logic courseware and logic textbooks, methods for teaching logic at different levels of instruction, presentation of postgraduate programs in logic, e-learning, logic games, teaching argumentation theory and informal logic, and pedagogy of logic.

Logic Pro X For Dummies

Logic Pro X For Dummies PDF

Author: Graham English

Publisher: John Wiley & Sons

Published: 2018-08-02

Total Pages: 515

ISBN-13: 1119506190

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Spend less time learning and more time recording Logic Pro X offers Mac users the tools and power they need to create recordings ready to share with the world. This book provides the know-how for navigating the interface, tweaking the settings, picking the sounds, and all the other tech tasks that get in the way of capturing the perfect take. Written by a Logic Pro X trainer who’s used the software to further his own music career, Logic Pro X For Dummies cuts back on the time needed to learn the software and allows for more time making amazing recordings. Record live sound sources or built-in virtual instruments Arrange your tracks to edit, mix, and master Discover tips to speed the process and record on an iPad Make sense of the latest software updates A favorite among Logic Pro X beginners, this book is updated to reflect the ongoing changes added to enhance Logic Pro X’s recording power.

The Fundamentally Simple Logic of Language

The Fundamentally Simple Logic of Language PDF

Author: Luis H. González

Publisher: Routledge

Published: 2021-02-07

Total Pages: 86

ISBN-13: 1000356515

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The Fundamentally Simple Logic of Language: Learning a Second Language with the Tools of the Native Speaker presents a data-driven approach to understanding how native speakers do not use subject and direct object to process language. Native speakers know who does what in a sentence by applying intuitively two simple inferences that are argued to be part of universal grammar. The book explains and exemplifies these two inferences throughout. These two inferences explain the native speaker’s ease of acquisition and use, and answer difficult questions for linguistics (transitivity, case, semantic roles) in such a way that undergraduate students and second language learners can understand these concepts and apply them to their own language acquisition. While Spanish is used as the primary example, the theory can be applied to many other languages. This book will appeal to teachers and learners of any second language, as well as linguists interested in second language acquisition, in second language teaching, and in argument structure.

Logic For Dummies

Logic For Dummies PDF

Author: Mark Zegarelli

Publisher: John Wiley & Sons

Published: 2006-11-29

Total Pages: 384

ISBN-13: 0471799416

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A straightforward guide to logic concepts Logic concepts are more mainstream than you may realize. There’s logic every place you look and in almost everything you do, from deciding which shirt to buy to asking your boss for a raise, and even to watching television, where themes of such shows as CSI and Numbers incorporate a variety of logistical studies. Logic For Dummies explains a vast array of logical concepts and processes in easy-to-understand language that make everything clear to you, whether you’re a college student of a student of life. You’ll find out about: Formal Logic Syllogisms Constructing proofs and refutations Propositional and predicate logic Modal and fuzzy logic Symbolic logic Deductive and inductive reasoning Logic For Dummies tracks an introductory logic course at the college level. Concrete, real-world examples help you understand each concept you encounter, while fully worked out proofs and fun logic problems encourage you students to apply what you’ve learned.