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Logic: Teach Yourself
by Siu-Fan LeeUnderstand Logic is a comprehensive introduction to this fascinating though sometimes challenging subject. As well as looking at logic in theoretical terms the book considers its everyday uses and demonstrates how it has genuine practical applications. It will take you step by step through the most difficult concepts and is packed with exercises to help you consolidate your learning at every stage. Covering everything from syllogistic logic to logical paradoxes and even looking at logic in Alice in Wonderland, this is the only guide you will ever need.
Logic: Bullet Guides
by Joe MorrisonOpen this book and you will: - Learn what logic is - Use truth tables and truth trees - Make sense of complex arguments - Use logic every day
Logic: a Brief Course
by Daniele MundiciThis short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of Gödel's completeness theorem and its main consequences is given using Robinson's completeness theorem and Gödel's compactness theorem for propositional logic. The reader will familiarize himself with many basic ideas and artifacts of mathematical logic: a non-ambiguous syntax, logical equivalence and consequence relation, the Davis-Putnam procedure, Tarski semantics, Herbrand models, the axioms of identity, Skolem normal forms, nonstandard models and, interestingly enough, proofs and refutations viewed as graphic objects. The mathematical prerequisites are minimal: the book is accessible to anybody having some familiarity with proofs by induction. Many exercises on the relationship between natural language and formal proofs make the book also interesting to a wide range of students of philosophy and linguistics.
Logic
by Scott L. PrattAn enlightening introduction to the study of logic: its history, philosophical foundations, and formal structuresLogic: Inquiry, Argument, and Order is the first book of its kind to frame the study of introductory logic in terms of problems connected to wider issues of knowledge and judgment that arise in the context of racial, cultural, and religious diversity. With its accessible style and integration of philosophical inquiry and real-life concerns, this book offers a novel approach to the theory of logic and its relevance to questions of meaning and value that arise in the world around us.The book poses four problems for logic: Is logic separate from experience? Does logic require dualisms? Can logic reconcile opposed ways of understanding the world? And when things are divided, does the boundary have a logic? The author begins the exploration of these questions with a discussion of the process of analyzing and constructing arguments. Using the logical theories of C. S. Peirce, John Dewey, and Josiah Royce to frame the investigation, subsequent chapters outline the process of inquiry, the concept of communicative action, the nature of validity, categorical reasoning through the theory of the syllogism, and inductive reasoning and probability. The book concludes with a presentation of modal logic, propositional logic, and quantification.Logic is presented as emerging from the activities of inquiry and communication, allowing readers to understand even the most difficult aspects of formal logic as straightforward developments of the process of anticipating and taking action. Numerous practice problems use arguments related to issues of diversity and social theory, and the book introduces methods of proving validity that include Venn diagrams, natural deduction, and the method of tableaux.Logic: Inquiry, Argument, and Order is an ideal book for courses on philosophical methods and critical reasoning at the upper-undergraduate and graduate levels. It is also an insightful reference for anyone who would like to explore a cross-cultural approach to the topic of logic.
Logic: A Very Short Introduction
by Graham PriestThis book is an introduction to logic, as contemporary logicians now understand the subject. It does not attempt to be a textbook, however. The point of this one is to explore the roots of logic, which sink deep into philosophy. Some formal logic will be explained along the way. In each of the main chapters, I start by taking up some particular philosophical problem or logical puzzle. I then explain one approach to it.
Logic: An Introduction (Fundamentals of Philosophy)
by Greg RestallThe methods of logic are essential to an understanding of philosophy and are crucial in the study of mathematics, computing, linguistics and many other subjects. Introducing the major concepts and techniques involved in the study of logic, this authoritative book explores both formal and philosophical logic, and the ways in which we can achieve good reasoning. Individual chapters include: * Propositions and Arguments* Truth Tables* Trees* Conditionality* Natural Deduction* Predicates, Names and Quantifiers* Definite Descriptions. This exceptionally clear introduction to the subject is ideally suited to students taking introductory courses in logic.
Logic: The Laws of Truth
by Nicholas J.J. SmithLogic is essential to correct reasoning and also has important theoretical applications in philosophy, computer science, linguistics, and mathematics. This book provides an exceptionally clear introduction to classical logic, with a unique approach that emphasizes both the hows and whys of logic. Here Nicholas Smith thoroughly covers the formal tools and techniques of logic while also imparting a deeper understanding of their underlying rationales and broader philosophical significance. In addition, this is the only introduction to logic available today that presents all the major forms of proof--trees, natural deduction in all its major variants, axiomatic proofs, and sequent calculus. The book also features numerous exercises, with solutions available on an accompanying website.Logic is the ideal textbook for undergraduates and graduate students seeking a comprehensive and accessible introduction to the subject.Provides an essential introduction to classical logicEmphasizes the how and why of logicCovers both formal and philosophical issuesPresents all the major forms of proof--from trees to sequent calculusFeatures numerous exercises, with solutions available at http://njjsmith.com/philosophy/lawsoftruth/The ideal textbook for undergraduates and graduate students
Logic
by Paul TomassiBringing elementary logic out of the academic darkness into the light of day, Paul Tomassi makes logic fully accessible for anyone attempting to come to grips with the complexities of this challenging subject. Including student-friendly exercises, illustrations, summaries and a glossary of terms, Logic introduces and explains: * The Theory of Validity* The Language of Propositional Logic* Proof-Theory for Propositional Logic* Formal Semantics for Propositional Logic including the Truth-Tree Method* The Language of Quantificational Logic including the Theory of Descriptions. Logic is an ideal textbook for any logic student: perfect for revision, staying on top of coursework or for anyone wanting to learn about the subject. Related downloadable software for Macs and PCs is available for this title at www.logic.routledge.com.
Logic: The Right Use of Reason in the Inquiry After Truth
by Isaac WattsAs a child of Puritan parents, it is not surprising that Isaac Watts was greatly concerned about people s ability to think clearly. Whether a man was studying for the ministry or any other of the sciences, the ability to reason rightly was of utmost importance. Watts s work on logic and reason became a standard textbook for nearly 200 years, being used in such schools as Oxford, Cambridge, Harvard, and Yale. In Logic, Watts address proper thinking under the four basic functions of the human mind: perception, judgment, reasoning, and disposition. In part one, Watts addresses human perception, the cultivation of ideas, and how we associate them with words. In part two, Watts treats human judgment and its ability to construct various kinds of propositions, while giving guidance for avoiding the formation of bad judgments. Part three covers our ability to reason, giving instruction on the use of syllogisms for constructing a good argument. Part four discusses the mind s disposition as a method of arranging our thoughts for better understanding and memory. This book will help discipline the mind and train the reader to discern proper thinking and argumentation in seeking truth.
Logic: An Introductory Course
by W.H. Newton-SmithFirst published in 1985. Routledge is an imprint of Taylor & Francis, an informa company.
Logic and Algebraic Structures in Quantum Computing
by Jennifer Chubb Ali Eskandarian Valentina HarizanovArising from a special session held at the 2010 North American Annual Meeting of the Association for Symbolic Logic, this volume is an international cross-disciplinary collaboration with contributions from leading experts exploring connections across their respective fields. <P><P>Themes range from philosophical examination of the foundations of physics and quantum logic, to exploitations of the methods and structures of operator theory, category theory, and knot theory in an effort to gain insight into the fundamental questions in quantum theory and logic. The book will appeal to researchers and students working in related fields, including logicians, mathematicians, computer scientists, and physicists. A brief introduction provides essential background on quantum mechanics and category theory, which, together with a thematic selection of articles, may also serve as the basic material for a graduate course or seminar.
Logic And Contemporary Rhetoric: The Use Of Reason In Everyday Life (Mindtap Course List Ser.)
by Frank Boardman Nancy M. Cavender Howard KahaneLOGIC AND CONTEMPORARY RHETORIC: THE USE OF REASON IN EVERYDAY LIFE, 13th Edition, introduces you to sound reasoning using current, relevant, and stimulating examples in a witty and invigorating writing style. Combining examples from television, newspapers, magazines, advertisements, and our nation's political dialogue, this classic text brings the concepts to life and puts critical-thinking skills into a context that you will retain and use throughout your life.
Logic and Criticism (Routledge Revivals)
by William RighterFirst Published in 1963, Logic and Criticism makes one of the rare attempts since that of I.A. Richard’s Principles of Literary Criticism to examine the problems of criticism in the light of recent philosophical developments. The character of critical language and argument, the problem of judgement, the relevance or irrelevance of moral criteria, are considered in detail through examples drawn from the most important modern critics. Above all the work is concerned with the question of how logical or illogical an activity criticism is, and the conclusions drawn have great relevance to current critical discussion. This is a must read for scholars and researchers of philosophy and literature.
Logic And Declarative Language
by M. DownwardLogic has acquired a reputation for difficulty, perhaps because many of the approaches adopted have been more suitable for mathematicians than computer scientists. This book shows that the subject is not inherently difficult and that the connections between logic and declarative language are straightforward. Many exercises have been included in the hope that these will lead to a much greater confidence in manual proofs, therefore leading to a greater confidence in automated proofs.
Logic and General Theory of Science (Husserliana: Edmund Husserl – Collected Works #15)
by Edmund HusserlThe stated subject of these lecture courses given by Husserlbetween 1910 and 1918is ‘reason, the word for the mental activities and accomplishments that govern knowledge, give it form and supply it with norms.’They show their author still pursuing the course set out in the Logical Investigations up to the end of the second decade of the century and displaying utter consistency with stands that he began taking on meaning, analyticity, Platonism, manifolds, mathematics, psychologism, etc. in the 1890s. Thus, they undermine many idées reçues about the development of his thought. The centerpiece of this work is an exploration of the realm of meaning.Moreover, they add new dimensions to standard discussions by taking readers back to the place where phenomenology and analytic philosophy diverged. They show that Husserl tangled long and hard with the very ideas that went into the making of the latter and offer a wealth of interesting insights into sense and meaning, theory of judgment, complete and incomplete meanings, states of affairs, extensional logic, the relationship between logic and mathematics, functions and arguments, propositional functions, quantification, existential generalization, the word ‘all,’ number theory, sets, modality, deductive theory, ideas that are still under discussion today.Prepared for oral delivery in the classroom, they are refreshingly lively and spontaneous. They are clearer, more explicit, and readable than the books Husserl published during his lifetime.
Logic and How it Gets That Way (Acumen Research Editions Ser.)
by Dale JacquetteIn this challenging and provocative analysis, Dale Jacquette argues that contemporary philosophy labours under a number of historically inherited delusions about the nature of logic and the philosophical significance of certain formal properties of specific types of logical constructions. Exposing some of the key misconceptions about formal symbolic logic and its relation to thought, language and the world, Jacquette clears the ground of some very well-entrenched philosophical doctrines about the nature of logic, including some of the most fundamental seldom-questioned parts of elementary propositional and predicate-quantificational logic. Having presented difficulties for conventional ways of thinking about truth functionality, the metaphysics of reference and predication, the role of a concept of truth in a theory of meaning, among others, Jacquette proceeds to reshape the network of ideas about traditional logic that philosophy has acquired along with modern logic itself. In so doing Jacquette is able to offer a new perspective on a number of existing problems in logic and philosophy of logic.
Logic and Information (Elements in Philosophy and Logic)
by Edwin MaresThis Element looks at two projects that relate logic and information: the project of using logic to integrate, manipulate and interpret information and the proect of using the notion of information to provide interpretations of logical systems. The Element defines 'information' in a manner that includes misinformation and disinformation and uses this general concept of information to provide an interpretation of various paraconsistent and relevant logics. It also integrates these logics into contemporary theories of informational updating, probability theory and (rather informally) some ideas from the theory of the complexity of proofs. The Element assumes some prior knowledge of modal logic and its possible world semantics, but all the other necessary background is provided.
Logic and Its Applications
by Sujata Ghosh Sanjiva PrasadThis book collects the refereed proceedings of the 7th Indian Conference on Logic and Its Applications, ICLA 2017, held in Mumbai, India, in January 2017. The volume contains 13 full revised papers along with 4 invited talks presented at the conference. The aim of this conference series is to bring together researchers from a wide variety of fields in which formal logic plays a significant role. Areas of interest include mathematical and philosophical logic, computer science logic, foundations and philosophy of mathematics and the sciences, use of formal logic in areas of theoretical computer science and artificial intelligence, logic and linguistics, and the relationship between logic and other branches of knowledge. Of special interest are studies in systems of logic in the Indian tradition, and historical research on logic.
Logic and Its Applications: 8th Indian Conference, ICLA 2019, Delhi, India, March 1-5, 2019, Proceedings (Lecture Notes in Computer Science #11600)
by Md. Aquil Khan Amaldev ManuelThis book collects the refereed proceedings of the 8th Indian Conference on Logic and Its Applications, ICLA 2019, held in Delhi, India, in March 2019. The volume contains 13 full revised papers along with 6 invited talks presented at the conference. The aim of this conference series is to bring together researchers from a wide variety of fields in which formal logic plays a significant role. Areas of interest include mathematical and philosophical logic, computer science logic, foundations and philosophy of mathematics and the sciences, use of formal logic in areas of theoretical computer science and artificial intelligence, logic and linguistics, and the relationship between logic and other branches of knowledge. Of special interest are studies in systems of logic in the Indian tradition, and historical research on logic.
Logic and Its Applications: 11th Indian Conference, ICLA 2025, Kolkata, India, February 3–5, 2025, Proceedings (Lecture Notes in Computer Science #15402)
by Shashi Mohan Srivastava C. Aiswarya Prabal Kumar SenThis book constitutes the refereed proceedings of the 11th Indian Conference on Logic and Its Applications, ICLA 2025, held in Kolkata, India, during February 3–5, 2025. Four out the five invited talks are included in this book. Out of the 26 submissions, the program committee carefully selected 14 papers to be included in the proceedings. The topics included are Mathematics, Computer Science, Philosophy, Linguistics and Cognitive Science. A special feature of ICLA is the inclusion of studies in systems of logic in the Indian tradition, as well as historical research on logic.
Logic and Knowledge (Routledge Classics)
by Bertrand RussellBertrand Russell's writings on logic, metaphysics, philosophy of language and epistemology are among the most influential of the twentieth century. Logic and Knowledge presents Russell's very best and most important work on these topics in a single volume, which by placing philosophical logic at its core was of monumental importance in shaping the path of analytical philosophy. It includes classics such as 'On Denoting', one of the founding pieces of philosophy of the twentieth century as well as chapters on logical atomism, a term coined by Russell himself to describe his view that the world consists in a plurality of independent entities, which by coming together form facts.Along with other essays on fundamental philosophical problems including the logic of relations, universals and particulars, and propositions, Logic and Knowledge shows why Russell remains one of the most important philosophers of the last century.This Routledge Classics edition includes a new Foreword by Graham Stevens.
Logic and Language: Indian Philosophy (Problems Of Philosophy Ser. #Vol. 2)
by Roy PerrettFirst published in 2001. Routledge is an imprint of Taylor & Francis, an informa company.
Logic and Language in Wittgenstein's Tractatus (Dissertations In Philosophy Ser.)
by Ian ProopsThis historical study investigates Ludwig Wittgenstein's early philosophy of logic and language, as it is presented in his Tractatus Logico-Philosophicus. The study makes a case for the Tractatus as an insightful critique of the philosophies of Bertrand Russell and Gottlob Frege-the Founding Fathers of analytic philosophy.
Logic and Philosophy: A Modern Introduction
by Alan Hausman Frank Boardman Howard KahaneA comprehensive introduction to formal logic, this is a rigorous yet accessible text, appropriate for students encountering the subject for the first time. Great, carefully crafted exercise sets accompanied by a straightforward, engaging exposition built to an exploration of sentential logic, first-order predicate logic, the theory of descriptions, identity, relations, set theory, modal logic, and Aristotelian logic. And as its title suggests, Logic and Philosophy are devoted not only to logic but also to the philosophical debates that led to the development of the field. <p><p>Much new material has been added for the 13th edition. An introduction to set theory and its relationship to logic and mathematics, including philosophical issues, is now part of Chapter 13. Chapter 15 is an introduction to modal logic and Kripke semantics, concluding with a discussion of philosophical problems with any logical accommodation of modalities. Instructors who do not wish to present proof methods will find chapters on truth trees for both sentential and first-order logic and a presentation of trees for modal logic. <p><p>Special features of this text include presentations of the history of logic, alternatives to traditional methods of conditional and indirect proof, and a discussion of semantic problems with universal and existential instantiations. Throughout, the authors are sensitive to philosophical issues that arise from the relationship between ordinary language, symbolic logic, and justifications for the syntax and semantics of the various symbolic languages. Discussions range from the justification of the truth table for the sentential rendering of if . . . then statements to semantic and syntactic paradoxes, including some troubling contradictions that arise in ordinary language (e.g., the so-called hangman or surprise quiz paradox). <p><p>Logic and Philosophy includes ample material for a one-semester or two-semester course and provides a thorough preparation for more advanced logic courses.
Logic and Philosophy of Mathematics in the Early Husserl
by Stefania CentroneLogic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl's work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from reading Husserl's early work as a more or less immature sketch of claims consolidated only in his later phenomenology, and unlike the majority of historians of logic she emphasizes the systematic strength and the originality of Husserl's logico-mathematical work. The book attempts to reconstruct the discussion between Husserl and those philosophers and mathematicians who contributed to new developments in logic, such as Leibniz, Bolzano, the logical algebraists (especially Boole and Schröder), Frege, and Hilbert and his school. It presents both a comprehensive critical examination of some of the major works produced by Husserl and his antagonists in the last decade of the 19th century and a formal reconstruction of many texts from Husserl's Nachlaß that have not yet been the object of systematical scrutiny. This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to analytical philosophers and phenomenologists with a background in standard logic.