Logic Matters

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Logic Matters

Author : P. T. Geach
Publisher : Univ of California Press
ISBN 13 : 9780520038479
Total Pages : 356 pages
Book Rating : 4.0/5 (384 download)

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Book Synopsis Logic Matters by : P. T. Geach

Download or read book Logic Matters written by P. T. Geach and published by Univ of California Press. This book was released on 1980-04-30 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is a significant and ofren rather demanding collection of essays. It is an anthology purring together the uncollected works of an important twentieth-century philosopher. Many of the articles treat one or another of the more important issues considered by analytic philosophers during the last quarter-century. Of significant importance to philosophers interested in researching the many topics contained in Logic Matters is the inclusion in this anthology of a rather extensive eight-page name-topic index."--Thomist "The papers are arranged by topic: Historical Essays, Traditional Logic, Theory of Reference and Syntax, Intentionality, Quotation and Semantics, Set Theory, Identity Theory, Assertion, Imperatives and Practical Reasoning, Logic in Metaphysics and Theology. The broad range of issues that have engaged Geach's complex and systematic reasoning is impressive. In addition to classical logic, topics in ethics, ontology, and even the logic of religious dogmas are tackled .... the work in this collection is more brilliant and ingenious than it is difficult and demanding."--Philosophy of Science "Geach displays his mastery of applying logical techniques and concepts to philosophical questions. Compared with most works in philosophical logic this book is remarkable for its range of topics. Plato, Aristotle, Aquinas, Russell, Wittgenstein, and Quine all figure prominently. Geach's style is remarkably lively considering the rightly argued matter. Although some of the articles treat rather technical questions in mathematical logic, most are accessible to philosophers with modest backgrounds in logic." --Choice

A Logical Foundation for Potentialist Set Theory

Author : Sharon Berry
Publisher : Cambridge University Press
ISBN 13 : 1108834310
Total Pages : 249 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis A Logical Foundation for Potentialist Set Theory by : Sharon Berry

Download or read book A Logical Foundation for Potentialist Set Theory written by Sharon Berry and published by Cambridge University Press. This book was released on 2022-02-17 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach to the standard axioms of set theory, relating the theory to the philosophy of science and metametaphysics.

Logic

Author : Nicholas J.J. Smith
Publisher : Princeton University Press
ISBN 13 : 0691151636
Total Pages : 544 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Logic by : Nicholas J.J. Smith

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.

An Introduction to Formal Logic

Author : Peter Smith
Publisher : Cambridge University Press
ISBN 13 : 9780521008044
Total Pages : 370 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis An Introduction to Formal Logic by : Peter Smith

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.

An Introduction to Proof Theory

Author : Paolo Mancosu
Publisher : Oxford University Press
ISBN 13 : 0192895931
Total Pages : 431 pages
Book Rating : 4.1/5 (928 download)

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Book Synopsis An Introduction to Proof Theory by : Paolo Mancosu

Download or read book An Introduction to Proof Theory written by Paolo Mancosu and published by Oxford University Press. This book was released on 2021 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.

Logic for Philosophy

Author : Theodore Sider
Publisher : Oxford University Press
ISBN 13 : 0192658816
Total Pages : 305 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis Logic for Philosophy by : Theodore Sider

Download or read book Logic for Philosophy written by Theodore Sider and published by Oxford University Press. This book was released on 2010-01-07 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 do philosophy.

Forever Undecided

Author : Raymond M. Smullyan
Publisher : Knopf
ISBN 13 : 0307962466
Total Pages : 286 pages
Book Rating : 4.3/5 (79 download)

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Book Synopsis Forever Undecided by : Raymond M. Smullyan

Download or read book Forever Undecided written by Raymond M. Smullyan and published by Knopf. This book was released on 2012-07-04 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forever Undecided is the most challenging yet of Raymond Smullyan’s puzzle collections. It is, at the same time, an introduction—ingenious, instructive, entertaining—to Gödel’s famous theorems. With all the wit and charm that have delighted readers of his previous books, Smullyan transports us once again to that magical island where knights always tell the truth and knaves always lie. Here we meet a new and amazing array of characters, visitors to the island, seeking to determine the natives’ identities. Among them: the census-taker McGregor; a philosophical-logician in search of his flighty bird-wife, Oona; and a regiment of Reasoners (timid ones, normal ones, conceited, modest, and peculiar ones) armed with the rules of propositional logic (if X is true, then so is Y). By following the Reasoners through brain-tingling exercises and adventures—including journeys into the “other possible worlds” of Kripke semantics—even the most illogical of us come to understand Gödel’s two great theorems on incompleteness and undecidability, some of their philosophical and mathematical implications, and why we, like Gödel himself, must remain Forever Undecided!

A Mathematical Introduction to Logic

Author : Herbert B. Enderton
Publisher : Elsevier
ISBN 13 : 0080496466
Total Pages : 330 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis A Mathematical Introduction to Logic by : Herbert B. Enderton

Download or read book A Mathematical Introduction to Logic written by Herbert B. Enderton and published by Elsevier. This book was released on 2001-01-23 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Mathematical Introduction to Logic

A First Course in Logic

Author : Shawn Hedman
Publisher : OUP Oxford
ISBN 13 : 0191586773
Total Pages : 452 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis A First Course in Logic by : Shawn Hedman

Download or read book A First Course in Logic written by Shawn Hedman and published by OUP Oxford. This book was released on 2004-07-08 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ability to reason and think in a logical manner forms the basis of learning for most mathematics, computer science, philosophy and logic students. Based on the author's teaching notes at the University of Maryland and aimed at a broad audience, this text covers the fundamental topics in classical logic in an extremely clear, thorough and accurate style that is accessible to all the above. Covering propositional logic, first-order logic, and second-order logic, as well as proof theory, computability theory, and model theory, the text also contains numerous carefully graded exercises and is ideal for a first or refresher course.

Gödel Without (Too Many) Tears

Author : Peter Smith
Publisher :
ISBN 13 : 9781916906341
Total Pages : 0 pages
Book Rating : 4.9/5 (63 download)

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Book Synopsis Gödel Without (Too Many) Tears by : Peter Smith

Download or read book Gödel Without (Too Many) Tears written by Peter Smith and published by . This book was released on 2022-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Forallx - An Introduction to Formal Logic

Author : P.D. Magnus
Publisher : Good Press
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.8/5 (596 download)

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Book Synopsis Forallx - An Introduction to Formal Logic by : P.D. Magnus

Download or read book Forallx - An Introduction to Formal Logic written by P.D. Magnus and published by Good Press. This book was released on 2023-11-27 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forallx is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading. This book treats symbolization, formal semantics, and proof theory for each language. The discussion of formal semantics is more direct than in many introductory texts. Although forall x does not contain proofs of soundness and completeness, it lays the groundwork for understanding why these are things that need to be proven. Contents: What is logic? Sentential logic Truth tables Quanti ed logic Formal semantics Proofs Other symbolic notation Solutions to selected exercises

Mathematical Logic

Author : Stephen Cole Kleene
Publisher : Courier Corporation
ISBN 13 : 0486317072
Total Pages : 416 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Mathematical Logic by : Stephen Cole Kleene

Download or read book Mathematical Logic written by Stephen Cole Kleene and published by Courier Corporation. This book was released on 2013-04-22 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

An Introduction to Gödel's Theorems

Author : Peter Smith
Publisher : Cambridge University Press
ISBN 13 : 0521857848
Total Pages : 376 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis An Introduction to Gödel's Theorems by : Peter Smith

Download or read book An Introduction to Gödel's Theorems written by Peter Smith and published by Cambridge University Press. This book was released on 2007-07-26 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peter Smith examines Gödel's Theorems, how they were established and why they matter.

Before Logic

Author : Richard Mason
Publisher : SUNY Press
ISBN 13 : 9780791445327
Total Pages : 172 pages
Book Rating : 4.4/5 (453 download)

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Book Synopsis Before Logic by : Richard Mason

Download or read book Before Logic written by Richard Mason and published by SUNY Press. This book was released on 2000-03-31 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Argues that there is an undeniable and essentially historical dimension to logic.

True to the Life. [A novel.]

Author :
Publisher :
ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.0/5 (26 download)

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Book Synopsis True to the Life. [A novel.] by :

Download or read book True to the Life. [A novel.] written by and published by . This book was released on 1868 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Mathematical Logic

Author : Richard E. Hodel
Publisher : Courier Corporation
ISBN 13 : 0486497852
Total Pages : 514 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis An Introduction to Mathematical Logic by : Richard E. Hodel

Download or read book An Introduction to Mathematical Logic written by Richard E. Hodel and published by Courier Corporation. This book was released on 2013-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.

If A, Then B

Author : Michael Shenefelt
Publisher : Columbia University Press
ISBN 13 : 0231161050
Total Pages : 352 pages
Book Rating : 4.2/5 (311 download)

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Book Synopsis If A, Then B by : Michael Shenefelt

Download or read book If A, Then B written by Michael Shenefelt and published by Columbia University Press. This book was released on 2013-06-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: While logical principles seem timeless, placeless, and eternal, their discovery is a story of personal accidents, political tragedies, and broad social change. If A, Then B begins with logic's emergence twenty-three centuries ago and tracks its expansion as a discipline ever since. It explores where our sense of logic comes from and what it really is a sense of. It also explains what drove human beings to start studying logic in the first place. Logic is more than the work of logicians alone. Its discoveries have survived only because logicians have also been able to find a willing audience, and audiences are a consequence of social forces affecting large numbers of people, quite apart from individual will. This study therefore treats politics, economics, technology, and geography as fundamental factors in generating an audience for logic--grounding the discipline's abstract principles in a compelling material narrative. The authors explain the turbulent times of the enigmatic Aristotle, the ancient Stoic Chrysippus, the medieval theologian Peter Abelard, and the modern thinkers René Descartes, David Hume, Jeremy Bentham, George Boole, Augustus De Morgan, John Stuart Mill, Gottlob Frege, Bertrand Russell, and Alan Turing. Examining a variety of mysteries, such as why so many branches of logic (syllogistic, Stoic, inductive, and symbolic) have arisen only in particular places and periods, If A, Then B is the first book to situate the history of logic within the movements of a larger social world. If A, Then B is the 2013 Gold Medal winner of Foreword Reviews' IndieFab Book of the Year Award for Philosophy.