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An Introduction to Non-Classical Logic

An Introduction to Non-Classical Logic

From If to Is

  • Author: Graham Priest
  • Publisher: Cambridge University Press
  • ISBN: 9781139469678
  • Category: Science
  • Page: N.A
  • View: 7433
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This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.

An Introduction to Decision Theory

An Introduction to Decision Theory

  • Author: Martin Peterson
  • Publisher: Cambridge University Press
  • ISBN: 1107151597
  • Category: Business & Economics
  • Page: 348
  • View: 8924
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Now revised and updated, this introduction to decision theory is both accessible and comprehensive, covering topics including decision making under ignorance and risk, the foundations of utility theory, the debate over subjective and objective probability, Bayesianism, causal decision theory, game theory, and social choice theory. No mathematical skills are assumed, with all concepts and results explained in non-technical and intuitive as well as more formal ways. There are now over 140 exercises with solutions, along with a glossary of key terms and concepts. This second edition includes a new chapter on risk aversion as well as updated discussions of numerous central ideas, including Newcomb's problem, prisoner's dilemmas, and Arrow's impossibility theorem. The book will appeal particularly to philosophy students but also to readers in a range of disciplines, from computer science and psychology to economics and political science.

An Introduction to Indian Philosophy

An Introduction to Indian Philosophy

  • Author: Roy W. Perrett
  • Publisher: Cambridge University Press
  • ISBN: 131648971X
  • Category: Philosophy
  • Page: N.A
  • View: 8085
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This wide-ranging introduction to classical Indian philosophy is philosophically rigorous without being too technical for beginners. Through detailed explorations of the full range of Indian philosophical concerns, including some metaphilosophical issues, it provides readers with non-Western perspectives on central areas of philosophy, including epistemology, logic, metaphysics, ethics, philosophy of language, and philosophy of religion. Chapters are structured thematically, with each including suggestions for further reading. This provides readers with an informed overview whilst enabling them to focus on particular topics if needed. Translated Sanskrit texts are accompanied by authorial explanations and contextualisations, giving the reader an understanding of the argumentative context and philosophical style of Indian texts. A detailed glossary and a guide to Sanskrit pronunciation equip readers with the tools needed for reading and understanding Sanskrit terms and names. The book will be an essential resource for both beginners and advanced students of philosophy and Asian studies.

Philosophy of Logics

Philosophy of Logics

  • Author: Susan Haack
  • Publisher: Cambridge University Press
  • ISBN: 9780521293297
  • Category: Philosophy
  • Page: 276
  • View: 1918
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Haack's book has established an international reputation for its clarity, thorough scholarship and careful analyses.

Logic for Philosophy

Logic for Philosophy

  • Author: Theodore Sider
  • Publisher: Oxford University Press, USA
  • ISBN: N.A
  • Category: Philosophy
  • Page: 289
  • View: 9941
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Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii)extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness,undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to dophilosophy.

First-Order Modal Logic

First-Order Modal Logic

  • Author: M. Fitting,Richard L. Mendelsohn
  • Publisher: Springer Science & Business Media
  • ISBN: 9401152926
  • Category: Philosophy
  • Page: 292
  • View: 2608
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This is a thorough treatment of first-order modal logic. The book covers such issues as quantification, equality (including a treatment of Frege's morning star/evening star puzzle), the notion of existence, non-rigid constants and function symbols, predicate abstraction, the distinction between nonexistence and nondesignation, and definite descriptions, borrowing from both Fregean and Russellian paradigms.

Logic: A Very Short Introduction

Logic: A Very Short Introduction

  • Author: Graham Priest
  • Publisher: Oxford University Press
  • ISBN: 0192539701
  • Category: Philosophy
  • Page: 152
  • View: 7836
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Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-technical terms, showing that logic is a powerful and exciting part of modern philosophy. In this new edition Graham Priest expands his discussion to cover the subjects of algorithms and axioms, and proofs in mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Thinking about Logic

Thinking about Logic

Classic Essays

  • Author: Steven M. Cahn
  • Publisher: Routledge
  • ISBN: 0429964234
  • Category: Philosophy
  • Page: 224
  • View: 7778
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Thinking about Logic is an accessible and thought-provoking collection of classic articles in the philosophy of logic. An ideal companion to any formal logic course or textbook, this volume illuminates how logic relates to perennial philosophical issues about knowledge, meaning, rationality, and reality. The editors have selected each essay for its brevity, clarity, and impact and have included insightful introductions and discussion questions. The puzzles raised will help readers acquire a more thorough understanding of fundamental logic concepts and a firmer command of the connections between formal logic and other areas of philosophical study: epistemology, philosophy of language, philosophy of science, and metaphysics.

Thinking about Logic

Thinking about Logic

An Introduction to the Philosophy of Logic

  • Author: Stephen Read
  • Publisher: Oxford University Press on Demand
  • ISBN: 9780192892386
  • Category: History
  • Page: 262
  • View: 3092
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In this book, Stephen Read sets out to rescue logic from its undeserved reputation as an inflexible, dogmatic discipline by demonstrating that its technicalities and processes are founded on assumptions which are themselves amenable to philosophical investigation. He examines the fundamental principles of consequence, logical truth and correct inference within the context of logic, and shows that the principles by which we delineate consequences are themselves not guaranteed free from error. Central to the notion of truth is the beguiling issue of paradox. Its philosophical value, Read shows, lies in exposing the invalid assumption on which the paradox is built. Thinking About Logic also discusses logical puzzles which introduce questions relating to language, the world, and their relationship.

An Introduction to the Philosophy of Mind

An Introduction to the Philosophy of Mind

  • Author: E. J. Lowe
  • Publisher: Cambridge University Press
  • ISBN: 9780521654289
  • Category: Philosophy
  • Page: 318
  • View: 7789
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A lucid and wide-ranging 2000 introduction suitable for readers with a basic grounding in philosophy.

An Introduction to Formal Logic

An Introduction to Formal Logic

  • Author: Peter Smith
  • Publisher: Cambridge University Press
  • ISBN: 9780521008044
  • Category: Mathematics
  • Page: 357
  • View: 6452
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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.

Possibilities and Paradox

Possibilities and Paradox

An Introduction to Modal and Many-valued Logic

  • Author: J. C. Beall,Bas C. Van Fraassen
  • Publisher: Oxford University Press, USA
  • ISBN: 9780199259878
  • Category: Philosophy
  • Page: 233
  • View: 4275
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"The book opens up topics to debate, suitable for an intermediate course in logic. Each chapter contains innovative features that guide us through the subject: exercises to give students hands-on experience, examples to demonstrate the application of concepts, and lists of further reading."--Jacket.

Deviant Logic, Fuzzy Logic

Deviant Logic, Fuzzy Logic

Beyond the Formalism

  • Author: Susan Haack
  • Publisher: University of Chicago Press
  • ISBN: 9780226311340
  • Category: Philosophy
  • Page: 291
  • View: 3563
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Initially proposed as rivals of classical logic, alternative logics have become increasingly important in areas such as computer science and artificial intelligence. Fuzzy logic, in particular, has motivated major technological developments in recent years. Susan Haack's Deviant Logic provided the first extended examination of the philosophical consequences of alternative logics. In this new volume, Haack includes the complete text of Deviant Logic, as well as five additional papers that expand and update it. Two of these essays critique fuzzy logic, while three augment Deviant Logic's treatment of deduction and logical truth. Haack also provides an extensive new foreword, brief introductions to the new essays, and an updated bibliography of recent work in these areas. Deviant Logic, Fuzzy Logic will be indispensable to students of philosophy, philosophy of science, linguistics, mathematics, and computer science, and will also prove invaluable to experienced scholars working in these fields.

Logic: The Basics

Logic: The Basics

  • Author: Jc Beall,Shay A. Logan
  • Publisher: Routledge
  • ISBN: 1317528603
  • Category: Philosophy
  • Page: 312
  • View: 4581
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Logic: The Basics is an accessible introduction to several core areas of logic. The first part of the book features a self-contained introduction to the standard topics in classical logic, such as: · mathematical preliminaries · propositional logic · quantified logic (first monadic, then polyadic) · English and standard ‘symbolic translations’ · tableau procedures. Alongside comprehensive coverage of the standard topics, this thoroughly revised second edition also introduces several philosophically important nonclassical logics, free logics, and modal logics, and gives the reader an idea of how they can take their knowledge further. With its wealth of exercises (solutions available in the encyclopedic online supplement), Logic: The Basics is a useful textbook for courses ranging from the introductory level to the early graduate level, and also as a reference for students and researchers in philosophical logic.

Modal Logics and Philosophy

Modal Logics and Philosophy

  • Author: Rod Girle
  • Publisher: Routledge
  • ISBN: 1317492161
  • Category: Philosophy
  • Page: 240
  • View: 6383
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The first edition, published by Acumen in 2000, became a prescribed textbook on modal logic courses. The second edition has been fully revised in response to readers' suggestions, including two new chapters on conditional logic, which was not covered in the first edition. "Modal Logics and Philosophy" is a fully comprehensive introduction to modal logics and their application suitable for course use. Unlike most modal logic textbooks, which are both forbidding mathematically and short on philosophical discussion, "Modal Logics and Philosophy" places its emphasis firmly on showing how useful modal logic can be as a tool for formal philosophical analysis. In part 1 of the book, the reader is introduced to some standard systems of modal logic and encouraged through a series of exercises to become proficient in manipulating these logics. The emphasis is on possible world semantics for modal logics and the semantic emphasis is carried into the formal method, Jeffrey-style truth-trees. Standard truth-trees are extended in a simple and transparent way to take possible worlds into account. Part 2 systematically explores the applications of modal logic to philosophical issues such as truth, time, processes, knowledge and belief, obligation and permission.

Meaning in English

Meaning in English

  • Author: Javier Valenzuela
  • Publisher: Cambridge University Press
  • ISBN: 1107096375
  • Category: Language Arts & Disciplines
  • Page: 275
  • View: 5421
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This lively, compact textbook introduces readers to semantics - the study of how we construct meaning in communication. Easy to follow, and with a clear structure, it explains formal terminology in a simple and understandable way, without using formal notation or logic, and draws on dozens of examples from up-to-date empirical research findings. Offering a tight integration of classic semantic issues with cognitive science, Javier Valenzuela provides a complete and coherent overview of the main topics in this area, including a review of the empirical methods used in semantic theorizing, and discussions of both non-traditional and new topics, such as how meaning is acquired by children and how meaning is constructed cross-linguistically. Featuring illustrations, exercises, activities, suggestions for further reading, highlighted key terms, and a comprehensive glossary, this book is accessible to beginners and undergraduates, including those from non-linguistic backgrounds with no prior knowledge of linguistic analysis. It will be an essential resource for courses in English language, English studies, linguistics and the cognitive sciences.

Sentence logic

Sentence logic

  • Author: Paul Teller
  • Publisher: N.A
  • ISBN: N.A
  • Category: Logic.
  • Page: 176
  • View: 7254
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Two-volume introduction to formal logic. Volume I presents sentence logic and Volume II covers predicate logic and metatheory. Features easy-to-understand explanations and graded exercises.

Intermediate Logic

Intermediate Logic

  • Author: David Bostock
  • Publisher: Clarendon Press
  • ISBN: 9780191567070
  • Category: Mathematics
  • Page: 404
  • View: 7840
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Intermediate Logic fills a serious gap in the range of university logic texts by offering a clear, reliable, general guide for students taking a second course in logic after completing a basic introduction. It will serve as an ideal follow-up to any of the standard introductory texts, and will give excellent preparation for advanced work in logical theory or applications of logic in philosophy, mathematics, or computing theory. - ;Intermediate Logic is an ideal text for anyone who has taken a first course in logic and is progressing to further study. It examines logical theory, rather than the applications of logic, and does not assume any specific technological grounding. The author introduces and explains each concept and term, ensuring that readers have a firm foundation for study. He provides a broad, deep understanding of logic by adopting and comparing a variety of different methods and approaches. In the first section, Bostock covers such fundamental notions as truth, validity, entailment, quantification, and decision procedures. Part two lays out a definitive introduction to four key logical tools or procedures: semantic tableaux, axiomatic proofs, natural deduction, and sequent calculi. The final section opens up new areas of existence and identity, concluding by moving from orthodox logic to examination of `free logic'. Intermediate Logic provides an ideal secondary course in logic for university students, and a bridge to advanced study of such subjects as model theory, proof theory, and other specialized areas of mathematical logic. -

Modal Logic for Philosophers

Modal Logic for Philosophers

  • Author: James W. Garson
  • Publisher: Cambridge University Press
  • ISBN: 1107512301
  • Category: Philosophy
  • Page: N.A
  • View: 3851
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This book on modal logic is especially designed for philosophy students. It provides an accessible yet technically sound treatment of modal logic and its philosophical applications. Every effort is made to simplify the presentation by using diagrams instead of more complex mathematical apparatus. These and other innovations provide philosophers with easy access to a rich variety of topics in modal logic, including a full coverage of quantified modal logic, non-rigid designators, definite descriptions, and the de-re de-dicto distinction. Discussion of philosophical issues concerning the development of modal logic is woven into the text. The book uses natural deduction systems, which are widely regarded as the easiest to teach and use. It also includes a diagram technique that extends the method of truth trees to modal logic. This provides a foundation for a novel method for showing completeness that is easy to extend to quantifiers. This second edition contains a new chapter on logics of conditionals, an updated and expanded bibliography, and is updated throughout.

Principia Mathematica

Principia Mathematica

  • Author: Alfred North Whitehead,Bertrand Russell
  • Publisher: N.A
  • ISBN: N.A
  • Category: Logic, Symbolic and mathematical
  • Page: N.A
  • View: 8258
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