This Sentence is False

This Sentence is False PDF

Author: Peter Cave

Publisher: Bloomsbury Publishing

Published: 2009-07-12

Total Pages: 232

ISBN-13: 1441122532

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An entertaining introduction to logic and reasoning, packed with puzzles and thought experiments for the reader to try "Peter Cave takes us on an edifying tour through the world of paradoxes, and there is much to be learned, as well as much enjoyment to be had, in the process." -Adrian W. Moore, University of Oxford, UK "'This sentence is false' is a sentence printed on the cover of this book. A sentence is not a name. So what is the name of the book? This book (whatever its name) is full of intriguing philosophical puzzles ... Paradoxes may seem trivial at first glance, but further thought reveals them to be challenges to some of our most fundamental beliefs and preconceptions. Peter Cave entertainingly escorts the reader through a great variety of these fascinating puzzles, shining light that is fresh and bright." -Laurence Goldstein, University of Kent, UK "This is a truly wonderful book. The topic is tough, but Peter Cave brings it to life. He manages to give new insights on old topics, which is itself remarkable, and he also brings in plenty of less familiar topics ... All in all, it is a joy to see such cleverness and clarity of thought coexisting with such an easy (and light and amusing) writing style." -Professor Imre Leader, Cambridge University, UK Put your neurons through their paces with this lively and engaging introduction to paradoxes. From "Buridan's Ass" and the "Surprise Examination" to "The Liar" and "Sleeping Beauty," This Sentence is False introduces all the key philosophical paradoxes. This fascinating guide to logic and reasoning is packed with puzzles and thought experiments to actively engage the reader in critical thinking. As well as paradoxes that occur in our everyday lives, topics also include God, ethics, political philosophy, space, and time. This Sentence is False will put your mind to the test, challenge what you think you know, and lead you on a fascinating journey through logical reasoning.

The Liar

The Liar PDF

Author: Jon Barwise

Publisher: Oxford University Press

Published: 1987

Total Pages: 207

ISBN-13: 0195059441

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Bringing together powerful new tools from set theory and the philosophy of language, this book proposes a solution to one of the few unresolved paradoxes from antiquity, the Paradox of the Liar. Barwise and Etchemendy model and compare Russellian and Austinian conceptions of propositions, and develop a range of model-theoretic techniques--based on Aczel's work--that open up new avenues in logical and formal semantics.

Language, Truth and Logic

Language, Truth and Logic PDF

Author: Alfred Jules Ayer

Publisher: Courier Corporation

Published: 2012-04-18

Total Pages: 175

ISBN-13: 0486113094

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"A delightful book … I should like to have written it myself." — Bertrand Russell First published in 1936, this first full-length presentation in English of the Logical Positivism of Carnap, Neurath, and others has gone through many printings to become a classic of thought and communication. It not only surveys one of the most important areas of modern thought; it also shows the confusion that arises from imperfect understanding of the uses of language. A first-rate antidote for fuzzy thought and muddled writing, this remarkable book has helped philosophers, writers, speakers, teachers, students, and general readers alike. Mr. Ayers sets up specific tests by which you can easily evaluate statements of ideas. You will also learn how to distinguish ideas that cannot be verified by experience — those expressing religious, moral, or aesthetic experience, those expounding theological or metaphysical doctrine, and those dealing with a priori truth. The basic thesis of this work is that philosophy should not squander its energies upon the unknowable, but should perform its proper function in criticism and analysis.

Revenge of the Liar

Revenge of the Liar PDF

Author: JC Beall

Publisher: OUP Oxford

Published: 2007-12-13

Total Pages: 384

ISBN-13: 0191528501

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The Liar paradox raises foundational questions about logic, language, and truth (and semantic notions in general). A simple Liar sentence like 'This sentence is false' appears to be both true and false if it is either true or false. For if the sentence is true, then what it says is the case; but what it says is that it is false, hence it must be false. On the other hand, if the statement is false, then it is true, since it says (only) that it is false. How, then, should we classify Liar sentences? Are they true or false? A natural suggestion would be that Liars are neither true nor false; that is, they fall into a category beyond truth and falsity. This solution might resolve the initial problem, but it beckons the Liar's revenge. A sentence that says of itself only that it is false or beyond truth and falsity will, in effect, bring back the initial problem. The Liar's revenge is a witness to the hydra-like nature of Liars: in dealing with one Liar you often bring about another. JC Beall presents fourteen new essays and an extensive introduction, which examine the nature of the Liar paradox and its resistance to any attempt to solve it. Written by some of the world's leading experts in the field, the papers in this volume will be an important resource for those working in truth studies, philosophical logic, and philosophy of language, as well as those with an interest in formal semantics and metaphysics.

Truth and Predication

Truth and Predication PDF

Author: Donald Davidson

Publisher: Harvard University Press

Published: 2009-07

Total Pages: 200

ISBN-13: 9780674030220

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This brief book takes readers to the very heart of what it is that philosophy can do well. Completed shortly before Donald Davidson's death at 85, Truth and Predication brings full circle a journey moving from the insights of Plato and Aristotle to the problems of contemporary philosophy. In particular, Davidson, countering many of his contemporaries, argues that the concept of truth is not ambiguous, and that we need an effective theory of truth in order to live well. Davidson begins by harking back to an early interest in the classics, and an even earlier engagement with the workings of grammar; in the pleasures of diagramming sentences in grade school, he locates his first glimpse into the mechanics of how we conduct the most important activities in our life--such as declaring love, asking directions, issuing orders, and telling stories. Davidson connects these essential questions with the most basic and yet hard to understand mysteries of language use--how we connect noun to verb. This is a problem that Plato and Aristotle wrestled with, and Davidson draws on their thinking to show how an understanding of linguistic behavior is critical to the formulating of a workable concept of truth. Anchored in classical philosophy, Truth and Predication nonetheless makes telling use of the work of a great number of modern philosophers from Tarski and Dewey to Quine and Rorty. Representing the very best of Western thought, it reopens the most difficult and pressing of ancient philosophical problems, and reveals them to be very much of our day.

Discrete Mathematics

Discrete Mathematics PDF

Author: Oscar Levin

Publisher: Createspace Independent Publishing Platform

Published: 2018-07-30

Total Pages: 238

ISBN-13: 9781724572639

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Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.

Pinocchio, the Tale of a Puppet

Pinocchio, the Tale of a Puppet PDF

Author: Carlo Collodi

Publisher:

Published: 2011-02

Total Pages: 140

ISBN-13: 9781603033930

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Pinocchio, The Tale of a Puppet follows the adventures of a talking wooden puppet whose nose grew longer whenever he told a lie and who wanted more than anything else to become a real boy.As carpenter Master Antonio begins to carve a block of pinewood into a leg for his table the log shouts out, "Don't strike me too hard!" Frightened by the talking log, Master Cherry does not know what to do until his neighbor Geppetto drops by looking for a piece of wood to build a marionette. Antonio gives the block to Geppetto. And thus begins the life of Pinocchio, the puppet that turns into a boy.Pinocchio, The Tale of a Puppet is a novel for children by Carlo Collodi is about the mischievous adventures of Pinocchio, an animated marionette, and his poor father and woodcarver Geppetto. It is considered a classic of children's literature and has spawned many derivative works of art. But this is not the story we've seen in film but the original version full of harrowing adventures faced by Pinnocchio. It includes 40 illustrations.

A Spiral Workbook for Discrete Mathematics

A Spiral Workbook for Discrete Mathematics PDF

Author: Harris Kwong

Publisher: Open SUNY Textbooks

Published: 2015-11-06

Total Pages: 298

ISBN-13: 9781942341161

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A Spiral Workbook for Discrete Mathematics covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions,relations, and elementary combinatorics, with an emphasis on motivation. The text explains and claries the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a nal polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a dierent perspective or at a higher level of complexity, in order to slowly develop the student's problem-solving and writing skills.

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