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An Introduction To G Del S Theorems

Author: Peter Smith
Publisher: Cambridge University Press
ISBN: 1107022843
Size: 46.36 MB
Format: PDF, Kindle
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A clear and accessible treatment of Gödel's famous, intriguing, but much misunderstood incompleteness theorems, extensively revised in a second edition.

An Introduction To Formal Logic

Author: Peter Smith
Publisher: Cambridge University Press
ISBN: 9780521008044
Size: 65.30 MB
Format: PDF, Mobi
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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.

An Introduction To Non Classical Logic

Author: Graham Priest
Publisher: Cambridge University Press
ISBN: 9781139469678
Size: 43.80 MB
Format: PDF, ePub
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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 Ethics

Author: John Deigh
Publisher: Cambridge University Press
ISBN: 052177246X
Size: 28.70 MB
Format: PDF, ePub
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This book examines the central questions of ethics through a study of the great ethical works of Western philosophy.

Computability And Logic

Author: George S. Boolos
Publisher: Cambridge University Press
ISBN: 110704927X
Size: 67.22 MB
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Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. This 2007 fifth edition has been thoroughly revised by John Burgess. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems. This updated edition is also accompanied by a website as well as an instructor's manual.

An Introduction To The Philosophy Of Religion

Author: Michael J. Murray
Publisher: Cambridge University Press
ISBN: 9781139469654
Size: 25.82 MB
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An Introduction to the Philosophy of Religion provides a broad overview of the topics which are at the forefront of discussion in contemporary philosophy of religion. Prominent views and arguments from both historical and contemporary authors are discussed and analyzed. The book treats all of the central topics in the field, including the coherence of the divine attributes, theistic and atheistic arguments, faith and reason, religion and ethics, miracles, human freedom and divine providence, science and religion, and immortality. In addition it addresses topics of significant importance that similar books often ignore, including the argument for atheism from hiddenness, the coherence of the doctrines of the Trinity and the Incarnation, and the relationship between religion and politics. It will be a valuable accompaniment to undergraduate and introductory graduate-level courses.

First Order Modal Logic

Author: M. Fitting
Publisher: Springer Science & Business Media
ISBN: 9401152926
Size: 54.71 MB
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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.

G Del S Theorem

Author: Torkel Franzén
Publisher: A K Peters/CRC Press
ISBN: 9781568812380
Size: 48.98 MB
Format: PDF
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"Among the many expositions of Gödel's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franzén gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of Logical Dilemmas: The Life and Work of Kurt Gödel