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Logic: The Basics

Logic: The Basics

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.

GBP 19.99
1

Philosophical Logic A Contemporary Introduction

Philosophical Logic A Contemporary Introduction

Introductory logic is generally taught as a straightforward technical discipline. In this book John MacFarlane helps the reader think about the limitations of presuppositions of and alternatives to classical first-order predicate logic making this an ideal introduction to philosophical logic for any student who already has completed an introductory logic course. The book explores the following questions. Are there quantificational idioms that cannot be expressed with the familiar universal and existential quantifiers? How can logic be extended to capture modal notions like necessity and obligation? Does the material conditional adequately capture the meaning of 'if'—and if not what are the alternatives? Should logical consequence be understood in terms of models or in terms of proofs? Can one intelligibly question the validity of basic logical principles like Modus Ponens or Double Negation Elimination? Is the fact that classical logic validates the inference from a contradiction to anything a flaw and if so how can logic be modified to repair it? How exactly is logic related to reasoning? Must classical logic be revised in order to be applied to vague language and if so how? Each chapter is organized around suggested readings and includes exercises designed to deepen the reader's understanding. Key Features: An integrated treatment of the technical and philosophical issues comprising philosophical logic Designed to serve students taking only one course in logic beyond the introductory level Provides tools and concepts necessary to understand work in many areas of analytic philosophy Includes exercises suggested readings and suggestions for further exploration in each chapter | Philosophical Logic A Contemporary Introduction

GBP 34.99
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Textbook of Logic

Textbook of Logic

Originally published in 1930 this well-known text by the late British philosopher Abraham Wolf offers the student a practical consistent and comprehensive approach to logic which remains unique in its field. Dr. Wolf here deals systematically with the two main types of reasoning - formal logic and inductive logic - and their various applications. All the main elements of logic - such as inference syllogism dilemmas evidence deductive and inductive methods and probability - are subsumed under these general headings. Professor Wolf strongly emphasizes the fact that logic cannot be mastered without some practical application; at the end of this volume therefore he includes a section of exercises based on each chapter. His unusally interesting appendix examines such matters as symbolic as logic fallacies the law of contradiction modal propositions the existential import of categorical propositions predictables and categories. | Textbook of Logic

GBP 31.99
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Logic Works A Rigorous Introduction to Formal Logic

Logic Works A Rigorous Introduction to Formal Logic

Logic Works is a critical and extensive introduction to logic. It asks questions about why systems of logic are as they are how they relate to ordinary language and ordinary reasoning and what alternatives there might be to classical logical doctrines. The book covers classical first-order logic and alternatives including intuitionistic free and many-valued logic. It also considers how logical analysis can be applied to carefully represent the reasoning employed in academic and scientific work better understand that reasoning and identify its hidden premises. Aiming to be as much a reference work and handbook for further independent study as a course text it covers more material than is typically covered in an introductory course. It also covers this material at greater length and in more depth with the purpose of making it accessible to those with no prior training in logic or formal systems. Online support material includes a detailed student solutions manual with a running commentary on all starred exercises and a set of editable slide presentations for course lectures. Key Features Introduces an unusually broad range of topics allowing instructors to craft courses to meet a range of various objectives Adopts a critical attitude to certain classical doctrines exposing students to alternative ways to answer philosophical questions about logic Carefully considers the ways natural language both resists and lends itself to formalization Makes objectual semantics for quantified logic easy with an incremental rule-governed approach assisted by numerous simple exercises Makes important metatheoretical results accessible to introductory students through a discursive presentation of those results and by using simple case studies | Logic Works A Rigorous Introduction to Formal Logic

GBP 48.99
1

Critical Views of Logic

Critical Views of Logic

This book examines positions that challenge the Fregean logic-first view. It raises critical questions about logic by examining various ways in which logic may be entangled with mathematics and metaphysics. Is logic topic-neutral and general? Can we take the application of logic for granted? This book suggests that we should not be dogmatic about logic but ask similar critical questions about logic as those Kant raised about metaphysics and mathematics. It challenges the Fregean logic-first view according to which logic is fundamental and hence independent of any extra-logical considerations. Whereas Quine assimilated logic and mathematics to the theoretical parts of empirical science the present volume explores views that stop short of his thoroughgoing holism but instead take logic to be answerable to or entangled with some particular disciplines. The contributions provide views that assign primacy to mathematical reasons Kantian metaphysical grounds Husserlian transcendental phenomenological reflection or normative considerations about how terms ought to be defined in various fields of empirical science or mathematics. Space is thereby carved out between a Fregean position on the one hand and Quinean holism on the other. Critical Views of Logic will be a key resource for academics researchers and advanced students of philosophy linguistics mathematics and computer science as well as those engaged in various fields of empirical science. The chapters in this book except for chapter 4 were originally published in the journal Inquiry.

GBP 130.00
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The Structure of Aristotelian Logic

The Structure of Aristotelian Logic

Originally published in 1938. This compact treatise is a complete treatment of Aristotle’s logic as containing negative terms. It begins with defining Aristotelian logic as a subject-predicate logic confining itself to the four forms of categorical proposition known as the A E I and O forms. It assigns conventional meanings to these categorical forms such that subalternation holds. It continues to discuss the development of the logic since the time of its founder and address traditional logic as it existed in the twentieth century. The primary consideration of the book is the inclusion of negative terms - obversion contraposition etc. – within traditional logic by addressing three questions of systematization the rules and the interpretation. | The Structure of Aristotelian Logic

GBP 35.99
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Logic for Justice An Introduction to Formal Logic with an Emphasis on Political Reform

Logic for Justice An Introduction to Formal Logic with an Emphasis on Political Reform

An introductory textbook Logic for Justice covers in full detail the language and semantics of both propositional logic and first-order logic. It motivates the study of those logical systems by drawing on social and political issues. Basically Logic for Justice frames propositional logic and first-order logic as two theories of the distinction between good arguments and bad arguments. And the book explains why for the purposes of social justice and political reform we need theories of that distinction. In addition Logic for Justice is extremely lucid thorough and clear. It explains and motivates many different features of the formalism of propositional logic and first-order logic always connecting those features back to real-world issues. Key Features Connects the study of logic to real-world social and political issues drawing in students who might not otherwise be attracted to the subject. Offers extremely clear and thorough presentations of technical material allowing students to learn directly from the book without having to rely on instructor explanations. Carefully explains the value of arguing well throughout one’s life with several discussions about how to argue and how arguments – when done with care – can be helpful personally. Includes examples that appear throughout the entire book allowing students to see how the ideas presented in the book build on each other. Provides a large and diverse set of problems for each chapter. Teaches logic by connecting formal languages to natural languages with which students are already familiar making it much easier for students to learn how logic works. | Logic for Justice An Introduction to Formal Logic with an Emphasis on Political Reform

GBP 34.99
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A First Course in Logic

A First Course in Logic

A First Course in Logic is an introduction to first-order logic suitable for first and second year mathematicians and computer scientists. There are three components to this course: propositional logic; Boolean algebras; and predicate/first-order logic. Logic is the basis of proofs in mathematics — how do we know what we say is true? — and also of computer science — how do I know this program will do what I think it will? Surprisingly little mathematics is needed to learn and understand logic (this course doesn't involve any calculus). The real mathematical prerequisite is an ability to manipulate symbols: in other words basic algebra. Anyone who can write programs should have this ability.

GBP 59.99
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