Download or read book Logic with Trees written by Colin Howson and published by Routledge. This book was released on 2005-10-11 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Sequents and Trees written by Andrzej Indrzejczak and published by Springer Nature. This book was released on 2020-12-16 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a detailed introduction to the methodology and applications of sequent calculi in propositional logic. Unlike other texts concerned with proof theory, emphasis is placed on illustrating how to use sequent calculi to prove a wide range of metatheoretical results. The presentation is elementary and self-contained, with all technical details both formally stated and also informally explained. Numerous proofs are worked through to demonstrate methods of proving important results, such as the cut-elimination theorem, completeness, decidability, and interpolation. Other proofs are presented with portions left as exercises for readers, allowing them to practice techniques of sequent calculus. After a brief introduction to classical propositional logic, the text explores three variants of sequent calculus and their features and applications. The remaining chapters then show how sequent calculi can be extended, modified, and applied to non-classical logics, including modal, intuitionistic, substructural, and many-valued logics. Sequents and Trees is suitable for graduate and advanced undergraduate students in logic taking courses on proof theory and its application to non-classical logics. It will also be of interest to researchers in computer science and philosophers.
Download or read book Logic with Trees written by Colin Howson and published by Routledge. This book was released on 2005-10-11 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Symbolic Logic written by David W. Agler and published by Rowman & Littlefield. This book was released on 2013 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Symbolic Logic: Syntax, Semantics, and Proof introduces students to the fundamental concepts, techniques, and topics involved in deductive reasoning. Agler guides students through the basics of symbolic logic by explaining the essentials of two classical systems, propositional and predicate logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs. This text makes this often confounding topic much more accessible with step-by-step example proofs, chapter glossaries of key terms, hundreds of homework problems and solutions for practice, and suggested further readings.
Download or read book Logic written by Nicholas J.J. Smith and published by Princeton University Press. This book was released on 2012-04 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an essential introduction to classical logic.
Download or read book An Introduction to Formal Logic written by Peter Smith and published by Cambridge University Press. This book was released on 2003-11-06 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Modal Logic for Philosophers written by James W. Garson and published by Cambridge University Press. This book was released on 2006-08-14 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2006 book provides an accessible, yet technically sound treatment of modal logic and its philosophical applications.
Download or read book Bulletproof Problem Solving written by Charles Conn and published by John Wiley & Sons. This book was released on 2019-03-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex problem solving is the core skill for 21st Century Teams Complex problem solving is at the very top of the list of essential skills for career progression in the modern world. But how problem solving is taught in our schools, universities, businesses and organizations comes up short. In Bulletproof Problem Solving: The One Skill That Changes Everything you’ll learn the seven-step systematic approach to creative problem solving developed in top consulting firms that will work in any field or industry, turning you into a highly sought-after bulletproof problem solver who can tackle challenges that others balk at. The problem-solving technique outlined in this book is based on a highly visual, logic-tree method that can be applied to everything from everyday decisions to strategic issues in business to global social challenges. The authors, with decades of experience at McKinsey and Company, provide 30 detailed, real-world examples, so you can see exactly how the technique works in action. With this bulletproof approach to defining, unpacking, understanding, and ultimately solving problems, you’ll have a personal superpower for developing compelling solutions in your workplace. Discover the time-tested 7-step technique to problem solving that top consulting professionals employ Learn how a simple visual system can help you break down and understand the component parts of even the most complex problems Build team brainstorming techniques that fight cognitive bias, streamline workplanning, and speed solutions Know when and how to employ modern analytic tools and techniques from machine learning to game theory Learn how to structure and communicate your findings to convince audiences and compel action The secrets revealed in Bulletproof Problem Solving will transform the way you approach problems and take you to the next level of business and personal success.
Download or read book Mathematical Logic written by Ian Chiswell and published by OUP Oxford. This book was released on 2007-05-18 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed with clean formal mathematics. Alongside the practical examples, readers learn what can and can't be calculated; for example the correctness of a derivation proving a given sequent can be tested mechanically, but there is no general mechanical test for the existence of a derivation proving the given sequent. The undecidability results are proved rigorously in an optional final chapter, assuming Matiyasevich's theorem characterising the computably enumerable relations. Rigorous proofs of the adequacy and completeness proofs of the relevant logics are provided, with careful attention to the languages involved. Optional sections discuss the classification of mathematical structures by first-order theories; the required theory of cardinality is developed from scratch. Throughout the book there are notes on historical aspects of the material, and connections with linguistics and computer science, and the discussion of syntax and semantics is influenced by modern linguistic approaches. Two basic themes in recent cognitive science studies of actual human reasoning are also introduced. Including extensive exercises and selected solutions, this text is ideal for students in Logic, Mathematics, Philosophy, and Computer Science.
Download or read book What Truth is written by Mark Jago and published by Oxford University Press. This book was released on 2018 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mark Jago offers a new metaphysical account of truth. He argues that to be true is to be made true by the existence of a suitable worldly entity. Truth arises as a relation between a proposition - the content of our sayings, thoughts, beliefs, and so on - and an entity (or entities) in the world.--
Download or read book Logical Options written by John L. Bell and published by Broadview Press. This book was released on 2001-03-30 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logical Options introduces the extensions and alternatives to classical logic which are most discussed in the philosophical literature: many-sorted logic, second-order logic, modal logics, intuitionistic logic, three-valued logic, fuzzy logic, and free logic. Each logic is introduced with a brief description of some aspect of its philosophical significance, and wherever possible semantic and proof methods are employed to facilitate comparison of the various systems. The book is designed to be useful for philosophy students and professional philosophers who have learned some classical first-order logic and would like to learn about other logics important to their philosophical work.
Download or read book Formal Logic written by Paul A. Gregory and published by Broadview Press. This book was released on 2017-04-30 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Logic is an undergraduate text suitable for introductory, intermediate, and advanced courses in symbolic logic. The book’s nine chapters offer thorough coverage of truth-functional and quantificational logic, as well as the basics of more advanced topics such as set theory and modal logic. Complex ideas are explained in plain language that doesn’t presuppose any background in logic or mathematics, and derivation strategies are illustrated with numerous examples. Translations, tables, trees, natural deduction, and simple meta-proofs are taught through over 400 exercises. A companion website offers supplemental practice software and tutorial videos.
Download or read book How Logic Works written by Hans Halvorson and published by Princeton University Press. This book was released on 2024-08-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to logic that teaches you not only how reasoning works, but why it works How Logic Works is an introductory logic textbook that is different by design. Rather than teaching elementary symbolic logic as an abstract or rote mathematical exercise divorced from ordinary thinking, Hans Halvorson presents it as the skill of clear and rigorous reasoning, which is essential in all fields and walks of life, from the sciences to the humanities—anywhere that making good arguments, and spotting bad ones, is critical to success. Instead of teaching how to apply algorithms using “truth trees,” as in the vast majority of logic textbooks, How Logic Works builds on and reinforces the innate human skills of making and evaluating arguments. It does this by introducing the methods of natural deduction, an approach that teaches students not only how to carry out a proof and solve a problem but also what the principles of valid reasoning are and how they can be applied to any subject. The book also allows students to transition smoothly to more advanced topics in logic by teaching them general techniques that apply to more complicated scenarios, such as how to formulate theories about specific subject matter. How Logic Works shows that formal logic—far from being only for mathematicians or a diversion from the really deep questions of philosophy and human life—is the best account we have of what it means to be rational. By teaching logic in a way that makes students aware of how they already use it, the book will help them to become even better thinkers. Offers a concise, readable, and user-friendly introduction to elementary symbolic logic that primarily uses natural deduction rather than algorithmic “truth trees” Draws on more than two decades’ experience teaching introductory logic to undergraduates Provides a stepping stone to more advanced topics
Download or read book The Logic Book written by Merrie Bergmann and published by McGraw-Hill Humanities/Social Sciences/Languages. This book was released on 2008-07-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This leading text for symbolic or formal logic courses presents all techniques and concepts with clear, comprehensive explanations, and includes a wealth of carefully constructed examples. Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.
Download or read book Symbolic Logic 4e written by Dr. Daniel Kern and published by Lulu.com. This book was released on 2016-05-31 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a first, college-level course in Symbolic Logic, in class or online. Covers Sentential Logic, Natural Deduction, Truth Trees, Predicate Logic and Quantifier Logic.
Download or read book Principles and Practices of Organizational Performance Excellence written by Thomas J. Cartin and published by Quality Press. This book was released on 1999-06-30 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many organizations have realized bona fide reward payoffs using a systematic continuous approach to quality and quality improvement. Divided into two sections, this book begins with an easy overview of quality fundamentals and productivity followed by a more detailed explanation of the key quality improvement tools and techniques. Chapter topics include the evolution of quality, management by commitment and leadership, customer satisfaction, organization planning, partnerships and strategic alliances, need for a systems approach in process improvement, quality costs, current engineering, and much more. Includes many examples and study questions to make it useful as a business reference or text. Principles and Practices of Organizational Performance is the evolution of the author's best-selling book, Principles and Practices of TQM, certain portions of which have been included in this book. Selected as an Outstanding Academic Title by Choice Magazine, 1999.Benefits: Discusses international quality standards(ISO). Provides an overview of the essentials in quality improvement awards - both national and international.liIncludes a glossary of terms that aid in communicating the language of improvement. Contents: Productivity Fundamentals, Management and Organization Change, Customer Satisfaction and Focus, Employee Empowerment, Quality Planning and Deployment, Quality Systems and Improvement, The New Quality Assurance, Supplier Quality Management, Quality Costs-Old and New, Tools for Continuous Improvement, Quality Standards and Awards, Quality Function Deployment, Design of Experiments
Download or read book Elementary Symbolic Logic written by William Gustason and published by Waveland Press. This book was released on 1989-01-01 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a serious study of the fundamentals of symbolic logic that will neither frustrate nor bore the reader. The emphasis is on developing the students grasp of standard techniques and concepts rather than on achieving a high degree of sophistication. Coverage embraces all of the standard topics in sentential and quantificational logic, including multiple quantification, relations, and identity. Semantic and deductive topics are carefully distinguished, and appendices include an optional discussion of metatheory for sentential logic and truth trees.
