Logic Matters

Author : P. T. Geach,B. Geach
Publisher : Univ of California Press
Page : 356 pages
File Size : 43,5 Mb
Release : 1980-04-30
Category : Philosophy
ISBN : 0520038479

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Logic Matters by P. T. Geach,B. Geach Pdf

"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

Author : Sharon Berry
Publisher : Cambridge University Press
Page : 249 pages
File Size : 52,9 Mb
Release : 2022-02-17
Category : Science
ISBN : 9781108834315

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A Logical Foundation for Potentialist Set Theory by Sharon Berry Pdf

A new approach to the standard axioms of set theory, relating the theory to the philosophy of science and metametaphysics.

Author : Raymond M. Smullyan
Publisher : Knopf
Page : 286 pages
File Size : 44,8 Mb
Release : 2012-07-04
Category : Mathematics
ISBN : 9780307962461

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Forever Undecided by Raymond M. Smullyan Pdf

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!

Author : Peter Smith
Publisher : Cambridge University Press
Page : 370 pages
File Size : 55,6 Mb
Release : 2003-11-06
Category : Mathematics
ISBN : 0521008042

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An Introduction to Formal Logic by Peter Smith Pdf

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.

Author : Theodore Sider
Publisher : Oxford University Press
Page : 305 pages
File Size : 42,6 Mb
Release : 2010-01-07
Category : Philosophy
ISBN : 9780192658814

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Logic for Philosophy by Theodore Sider Pdf

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.

Author : Nicholas J.J. Smith
Publisher : Princeton University Press
Page : 544 pages
File Size : 40,8 Mb
Release : 2012-04
Category : Philosophy
ISBN : 9780691151632

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Logic by Nicholas J.J. Smith Pdf

Provides an essential introduction to classical logic.

Author : Herbert B. Enderton
Publisher : Elsevier
Page : 330 pages
File Size : 49,6 Mb
Release : 2001-01-23
Category : Computers
ISBN : 9780080496467

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A Mathematical Introduction to Logic by Herbert B. Enderton Pdf

A Mathematical Introduction to Logic

Author : P.D. Magnus
Publisher : Good Press
Page : 162 pages
File Size : 42,7 Mb
Release : 2023-11-27
Category : Philosophy
ISBN : EAN:8596547679349

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Forallx - An Introduction to Formal Logic by P.D. Magnus Pdf

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

Author : Peter Smith
Publisher : Unknown
Page : 0 pages
File Size : 53,7 Mb
Release : 2022-12
Category : Electronic
ISBN : 1916906346

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Gödel Without (Too Many) Tears by Peter Smith Pdf

Author : Shawn Hedman
Publisher : OUP Oxford
Page : 452 pages
File Size : 41,9 Mb
Release : 2004-07-08
Category : Mathematics
ISBN : 9780191586774

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A First Course in Logic by Shawn Hedman Pdf

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.

Author : Peter Smith
Publisher : Cambridge University Press
Page : 376 pages
File Size : 40,6 Mb
Release : 2007-07-26
Category : Mathematics
ISBN : 9780521857840

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An Introduction to Gödel's Theorems by Peter Smith Pdf

Peter Smith examines Gödel's Theorems, how they were established and why they matter.

Author : Michael Shenefelt,Heidi White
Publisher : Columbia University Press
Page : 352 pages
File Size : 41,8 Mb
Release : 2013-06-11
Category : Philosophy
ISBN : 9780231161053

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If A, Then B by Michael Shenefelt,Heidi White Pdf

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.

Author : Richard Mason
Publisher : SUNY Press
Page : 172 pages
File Size : 47,5 Mb
Release : 2000-03-31
Category : Philosophy
ISBN : 0791445321

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Before Logic by Richard Mason Pdf

Argues that there is an undeniable and essentially historical dimension to logic.

Author : Steven Pinker
Publisher : Penguin UK
Page : 272 pages
File Size : 50,7 Mb
Release : 2021-09-28
Category : Philosophy
ISBN : 9780241380307

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Rationality by Steven Pinker Pdf

A TIMES BOOK OF THE YEAR 2021 'Punchy, funny and invigorating ... Pinker is the high priest of rationalism' Sunday Times 'If you've ever considered taking drugs to make yourself smarter, read Rationality instead. It's cheaper, more entertaining, and more effective' Jonathan Haidt, author of The Righteous Mind In the twenty-first century, humanity is reaching new heights of scientific understanding - and at the same time appears to be losing its mind. How can a species that discovered vaccines for Covid-19 in less than a year produce so much fake news, quack cures and conspiracy theorizing? In Rationality, Pinker rejects the cynical cliché that humans are simply an irrational species - cavemen out of time fatally cursed with biases, fallacies and illusions. After all, we discovered the laws of nature, lengthened and enriched our lives and set the benchmarks for rationality itself. Instead, he explains, we think in ways that suit the low-tech contexts in which we spend most of our lives, but fail to take advantage of the powerful tools of reasoning we have built up over millennia: logic, critical thinking, probability, causal inference, and decision-making under uncertainty. These tools are not a standard part of our educational curricula, and have never been presented clearly and entertainingly in a single book - until now. Rationality matters. It leads to better choices in our lives and in the public sphere, and is the ultimate driver of social justice and moral progress. Brimming with insight and humour, Rationality will enlighten, inspire and empower. 'A terrific book, much-needed for our time' Peter Singer

Author : Christopher C. Leary,Lars Kristiansen
Publisher : Lulu.com
Page : 382 pages
File Size : 46,7 Mb
Release : 2015
Category : Education
ISBN : 9781942341079

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A Friendly Introduction to Mathematical Logic by Christopher C. Leary,Lars Kristiansen Pdf

At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.