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Author: Sergi Oms
Publisher: Cambridge University Press
Published: 2019-10-10
Total Pages: 345
ISBN-13: 1107163994
DOWNLOAD EBOOK →Offers a systematic introduction and discussion of all the main solutions to the sorites paradox and its areas of influence.
Author: Michael Huemer
Publisher: Springer
Published: 2018-06-28
Total Pages: 260
ISBN-13: 3319904906
DOWNLOAD EBOOK →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.
Author: L. Burns
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 238
ISBN-13: 9401134944
DOWNLOAD EBOOK →This work is in two parts. It began as a general investigation of vagueness in natural languages. The Sorites Paradox came to dominate the work however, and the second part of the book consists in an discussion ofthat puzzle and related problems. The first part contains a general discussion ofthe nature ofvagueness and its sources. I discuss various conceptions of vagueness in chapter 1 and outline some of the problems to do with the conception of vagueness as a linguistic phenomenon. The most interesting of these is the Sorites paradox, which occurs where natural languages exhibit a particular variety of borderline case vagueness. I discuss some sources of vagueness of the borderline case variety, and views of the relation between linguistic behaviour and languages which are vague in this sense. I argue in chapter 2 that these problems are not to be easily avoided by statistical averaging techniques or attempts to provide a mathematical model of consensus in linguistic usage. I also consider in chapter 3 various approaches to the problem of providing an adequate logic and semantics for vague natural languages, and argue against two currently popular approaches to vagueness. These are supervaluation accounts which attempt to provide precise semantic models for vague languages based on the notion of specification spaces, and attempts to replace the laws ofclassical logic with systems offuzzy logic.
Author: Doris Olin
Publisher: Routledge
Published: 2014-12-18
Total Pages: 233
ISBN-13: 1317489233
DOWNLOAD EBOOK →Paradoxes are more than just intellectual puzzles - they raise substantive philosophical issues and offer the promise of increased philosophical knowledge. In this introduction to paradox and paradoxes, Doris Olin shows how seductive paradoxes can be, why they confuse and confound, and why they continue to fascinate. Olin examines the nature of paradox, outlining a rigorous definition and providing a clear and incisive statement of what does and does not count as a resolution of a paradox. The view that a statement can be both true and false, that contradictions can be true, is seen to provide a challenge to the account of paradox resolution, and is explored. With this framework in place, the book then turns to an in-depth treatment of the Prediction Paradox, versions of the Preface/Fallibility Paradox, the Lottery Paradox, Newcomb's Problem, the Prisoner's Dilemma and the Sorites Paradox. Each of these paradoxes is shown to have considerable philosophical punch. Olin unpacks the central arguments in a clear and systematic fashion, offers original analyses and solutions, and exposes further unsettling implications for some of our most deep-seated principles and convictions.
Author: R. M. Sainsbury
Publisher: Cambridge University Press
Published: 2009-02-19
Total Pages: 191
ISBN-13: 0521896320
DOWNLOAD EBOOK →A paradox can be defined as an unacceptable conclusion derived by apparently acceptable reasoning from apparently acceptable premises. Many paradoxes raise serious philosophical problems, and they are associated with crises of thought and revolutionary advances. The expanded and revised third edition of this intriguing book considers a range of knotty paradoxes including Zeno's paradoxical claim that the runner can never overtake the tortoise, a new chapter on paradoxes about morals, paradoxes about belief, and hardest of all, paradoxes about truth. The discussion uses a minimum of technicality but also grapples with complicated and difficult considerations, and is accompanied by helpful questions designed to engage the reader with the arguments. The result is not only an explanation of paradoxes but also an excellent introduction to philosophical thinking.
Author: Timothy Williamson
Publisher: Routledge
Published: 2002-01-04
Total Pages: 340
ISBN-13: 1134770189
DOWNLOAD EBOOK →If you keep removing single grains of sand from a heap, when is it no longer a heap? From discussions of the heap paradox in classical Greece, to modern formal approaches like fuzzy logic, Timothy Williamson traces the history of the problem of vagueness. He argues that standard logic and formal semantics apply even to vague languages and defends the controversial, realist view that vagueness is a form of ignorance - there really is a grain of sand whose removal turns a heap into a non-heap, but we can never know exactly which one it is.
Author: Roy T. Cook
Publisher: John Wiley & Sons
Published: 2013-04-03
Total Pages: 181
ISBN-13: 0745665519
DOWNLOAD EBOOK →Paradoxes are arguments that lead from apparently true premises, via apparently uncontroversial reasoning, to a false or even contradictory conclusion. Paradoxes threaten our basic understanding of central concepts such as space, time, motion, infinity, truth, knowledge, and belief. In this volume Roy T Cook provides a sophisticated, yet accessible and entertaining, introduction to the study of paradoxes, one that includes a detailed examination of a wide variety of paradoxes. The book is organized around four important types of paradox: the semantic paradoxes involving truth, the set-theoretic paradoxes involving arbitrary collections of objects, the Soritical paradoxes involving vague concepts, and the epistemic paradoxes involving knowledge and belief. In each of these cases, Cook frames the discussion in terms of four different approaches one might take towards solving such paradoxes. Each chapter concludes with a number of exercises that illustrate the philosophical arguments and logical concepts involved in the paradoxes. Paradoxes is the ideal introduction to the topic and will be a valuable resource for scholars and students in a wide variety of disciplines who wish to understand the important role that paradoxes have played, and continue to play, in contemporary philosophy.
Author: Kit Fine
Publisher: Oxford University Press
Published: 2020-04-01
Total Pages: 192
ISBN-13: 0197514979
DOWNLOAD EBOOK →Vagueness is a subject of long-standing interest in the philosophy of language, metaphysics, and philosophical logic. Numerous accounts of vagueness have been proposed in the literature but there has been no general consensus on which, if any, should be be accepted. Kit Fine here presents a new theory of vagueness based on the radical hypothesis that vagueness is a "global" rather than a "local" phenomenon. In other words, according to Fine, the vagueness of an object or expression cannot properly be considered except in its relation to other objects or other expressions. He then applies the theory to a variety of topics in logic, metaphysics and epistemology, including the sorites paradox, the problem of personal identity, and the transparency of mental phenomenon. This is the inaugural volume in the Rutgers Lectures in Philosophy series, presenting lectures from the most important contemporary thinkers in the discipline.
Author: Timothy Williamson
Publisher: John Wiley & Sons
Published: 2013-01-22
Total Pages: 211
ISBN-13: 1118503600
DOWNLOAD EBOOK →Identity and Discrimination This updated edition of Identity and Discrimination, first published in 1990 and the first book by well-known philosopher Timothy Williamson, is now reissued with the inclusion of significant new material. This major work – influential in philosophy of perception and the theory of vagueness – continues in an original and rigorous way to highlight the necessity of discrimination and the thresholds which determine the approximate criteria of identity. Williamson’s proposal for an original and rigorous theory links identity, a relation central to metaphysics, and indiscriminability, a relation central to epistemology. He provides a distinctive cognitive account of the nature of discrimination, with important applications to the philosophy of perception and the theory of vagueness. The book pioneers the use of epistemic logic to solve the notorious paradoxes of indiscriminability, and develops the application of techniques from mathematical logic to understand issues about identity over time and across possible worlds.
Author: Rupert Read
Publisher: Lexington Books
Published: 2012-10-25
Total Pages: 299
ISBN-13: 0739168975
DOWNLOAD EBOOK →A Wittgensteinian Way with Paradoxes examines how some of the classic philosophical paradoxes that have so puzzled philosophers over the centuries can be dissolved. Read argues that paradoxes such as the Sorites, Russell’s Paradox and the paradoxes of time travel do not, in fact, need to be solved. Rather, using a resolute Wittgensteinian ‘therapeutic’ method, the book explores how virtually all apparent philosophical paradoxes can be diagnosed and dissolved through examining their conditions of arising; to loosen their grip and therapeutically liberate those philosophers suffering from them (including oneself). The book contrasts such paradoxes with real, ‘lived paradoxes’: paradoxes that are genuinely experienced outside of the philosopher’s study, in everyday life. Thus Read explores instances of lived paradox (such as paradoxes of self-hatred and of denial of other humans’ humanity) and the harm they can cause, psychically, morally or politically. These lived paradoxes, he argues, sometimes cannot be dissolved using a Wittgensteinian treatment. Moreover, in some cases they do not need to be: for some, such as the paradoxical practices of Zen Buddhism (and indeed of Wittgenstein himself), can in fact be beneficial. The book shows how, once philosophers’ paradoxes have been exorcized, real lived paradoxes can be given their due.
