This Sentence is False
This Sentence is False

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.

Truth and Paradox
Truth and Paradox

Author: Tim Maudlin

Publisher: Oxford University Press

Published: 2004-05-13

Total Pages: 223

ISBN-13: 0199247293

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Consider the sentence 'This sentence is not true'. Certain notorious paradoxes like this have bedevilled philosophical theories of truth. Tim Maudlin presents an original account of logic and semantics which deals with these paradoxes, and allows him to set out a new theory of truth-values and the norms governing claims about truth.

The Liar
The Liar

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.

Revenge of the Liar
Revenge of the Liar

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

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.

Paradox Lost
Paradox Lost

Author: Michael Huemer

Publisher: Springer

Published: 2018-06-28

Total Pages: 278

ISBN-13: 3319904906

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Paradox Lost covers ten of philosophy’s most fascinating paradoxes, in which seemingly compelling reasoning leads to absurd conclusions. The following paradoxes are included: The Liar Paradox, in which a sentence says of itself that it is false. Is the sentence true or false? The Sorites Paradox, in which we imagine removing grains of sand one at a time from a heap of sand. Is there a particular grain whose removal converts the heap to a non-heap? The Puzzle of the Self-Torturer, in which a series of seemingly rational choices has us accepting a life of excruciating pain, in exchange for millions of dollars. Newcomb’s Problem, in which we seemingly maximize our expected profit by taking an unknown sum of money, rather than taking the same sum plus $1000. The Surprise Quiz Paradox, in which a professor finds that it is impossible to give a surprise quiz on any particular day of the week . . . but also that if this is so, then a surprise quiz can be given on any day. The Two Envelope Paradox, in which we are asked to choose between two indistinguishable envelopes, and it is seemingly shown that each envelope is preferable to the other. The Ravens Paradox, in which observing a purple shoe provides evidence that all ravens are black. The Shooting Room Paradox, in which a deadly game kills 90% of all who play, yet each individual’s survival turns on the flip of a fair coin. Each paradox is clearly described, common mistakes are explored, and a clear, logical solution offered. Paradox Lost will appeal to professional philosophers, students of philosophy, and all who love intellectual puzzles.

On Bullshit
On Bullshit

Author: Harry G. Frankfurt

Publisher: Princeton University Press

Published: 2009-01-10

Total Pages: 80

ISBN-13: 1400826535

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#1 New York Times bestseller Featured on The Daily Show and 60 Minutes The acclaimed book that illuminates our world and its politics by revealing why bullshit is more dangerous than lying One of the most prominent features of our world is that there is so much bullshit. Yet we have no clear understanding of what bullshit is, how it’s distinct from lying, what functions it serves, and what it means. In his acclaimed bestseller On Bullshit, Harry Frankfurt, who was one of the world’s most influential moral philosophers, explores this important subject, which has become a central problem of politics and our world. With his characteristic combination of philosophical acuity, psychological insight, and wry humor, Frankfurt argues that bullshitters misrepresent themselves to their audience not as liars do, that is, by deliberately making false claims about what is true. Rather, bullshitters seek to convey a certain impression of themselves without being concerned about whether anything at all is true. They quietly change the rules governing their end of the conversation so that claims about truth and falsity are irrelevant. Although bullshit can take many innocent forms, excessive indulgence in it can eventually undermine the bullshitter’s capacity to tell the truth in a way that lying does not. Liars at least acknowledge that the truth matters. Because of this, bullshit is a greater enemy of the truth than lies are. Remarkably prescient and insightful, On Bullshit is a small book that explains a great deal about our time.

Language, Truth and Logic
Language, Truth and Logic

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.

Discrete Mathematics
Discrete Mathematics

Author: Oscar Levin

Publisher: Createspace Independent Publishing Platform

Published: 2016-08-16

Total Pages: 342

ISBN-13: 9781534970748

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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. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. 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.