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Logic Matters

Logic Matters
Author: P. T. Geach
Publisher: Univ of California Press
Total Pages: 356
Release: 1980-04-30
Genre: Philosophy
ISBN: 9780520038479

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"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


Logic

Logic
Author: Siu-Fan Lee
Publisher: Teach Yourself
Total Pages: 0
Release: 2017-04-25
Genre: Philosophy
ISBN: 9781473608436

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Understand 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: A Complete Introduction: Teach Yourself

Logic: A Complete Introduction: Teach Yourself
Author: Siu-Fan Lee
Publisher: Teach Yourself
Total Pages: 326
Release: 2017-01-12
Genre: Philosophy
ISBN: 1473608449

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'After a lifetime of dabbling in philosophy without tackling logic, I bought a couple of books on the subject and was soon totally lost. This book saved me.' - Amazon 5 star review ⭐⭐⭐⭐⭐ 'Unlike so many logic books, this one is easy to follow, step by step. Strongly recommended for beginners.' - Amazon 5 star review ⭐⭐⭐⭐⭐ When you see black clouds looming and predict it's going to rain, you're using logic. When you decide that all swans are white because all the swans you've seen are white, that's logic too (even though the conclusion is false). As humans we want to understand how things are connected and why, so that we can derive things we don''t know yet from what we do. Logic studies the methods and principles to distinguish good and bad reasoning. This book introduces three basic logical systems: categorical logic, propositional logic and predicate logic. It identifies in each system essential methods to test arguments, and there are illustrations and exercises to enhance your mastery of these skills. By the time you finish you will understand what logicians were thinking when they designed logical systems and start to think like them. Whether you are preparing for an essay, studying for an exam or simply want to expand your knowledge, Logic: A Complete Introduction is your go-to guide. ABOUT THE SERIES The Complete Introduction series from Teach Yourself is the ultimate one-stop guide for anyone wanting a comprehensive and accessible entry point into subjects as diverse as philosophy, mathematics, psychology, Shakespeare and practical electronics. Loved by students and perfect for general readers who simply want to learn more about the world around them, these books are your first choice for discovering something new.


Teach Yourself Logic

Teach Yourself Logic
Author: A a (Arthur Aston) 1882-1977 Luce
Publisher: Hassell Street Press
Total Pages: 232
Release: 2021-09-09
Genre:
ISBN: 9781014180285

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This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


An Introduction to Formal Logic

An Introduction to Formal Logic
Author: Peter Smith
Publisher: Cambridge University Press
Total Pages: 370
Release: 2003-11-06
Genre: Mathematics
ISBN: 9780521008044

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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.


Teaching with Love & Logic

Teaching with Love & Logic
Author: Jim Fay
Publisher: Love & Logic Press
Total Pages: 399
Release: 1995
Genre: Education
ISBN: 9780944634295

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Presents techniques for teaching based on the "Love and Logic" philosophy of working with children.


Forever Undecided

Forever Undecided
Author: Raymond M. Smullyan
Publisher: Knopf
Total Pages: 286
Release: 2012-07-04
Genre: Mathematics
ISBN: 0307962466

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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

A Mathematical Introduction to Logic
Author: Herbert B. Enderton
Publisher: Elsevier
Total Pages: 330
Release: 2001-01-23
Genre: Computers
ISBN: 0080496466

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A Mathematical Introduction to Logic


Introduction to Logic

Introduction to Logic
Author: Harry J Gensler
Publisher: Routledge
Total Pages: 510
Release: 2012-08-06
Genre: Philosophy
ISBN: 1136994521

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Introduction to Logic combines likely the broadest scope of any logic textbook available with clear, concise writing and interesting examples and arguments. Its key features, all retained in the Second Edition, include: • simpler ways to test arguments than those available in competing textbooks, including the star test for syllogisms • a wide scope of materials, making it suitable for introductory logic courses (as the primary text) or intermediate classes (as the primary or supplementary book) • engaging and easy-to-understand examples and arguments, drawn from everyday life as well as from the great philosophers • a suitability for self-study and for preparation for standardized tests, like the LSAT • a reasonable price (a third of the cost of many competitors) • exercises that correspond to the LogiCola program, which may be downloaded for free from the web. This Second Edition also: • arranges chapters in a more useful way for students, starting with the easiest material and then gradually increasing in difficulty • provides an even broader scope with new chapters on the history of logic, deviant logic, and the philosophy of logic • expands the section on informal fallacies • includes a more exhaustive index and a new appendix on suggested further readings • updates the LogiCola instructional program, which is now more visually attractive as well as easier to download, install, update, and use.


An Introduction to Proof Theory

An Introduction to Proof Theory
Author: Paolo Mancosu
Publisher: Oxford University Press
Total Pages: 431
Release: 2021
Genre: Philosophy
ISBN: 0192895931

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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.