Paradoxes and Their Resolutions


Book Description

Paradoxes and their Resolutions is Avi Sion’s latest ‘thematic compilation’. It collects in one volume the essays that he has written in the past (over a period of some 27 years) on this subject. It comprises expositions and resolutions of many (though not all) ancient and modern paradoxes, including: the Protagoras-Euathlus paradox (Athens, 5th Cent. BCE), the Liar paradox and the Sorites paradox (both attributed to Eubulides of Miletus, 4th Cent. BCE), Russell’s paradox (UK, 1901) and its derivatives the Barber paradox and the Master Catalogue paradox (also by Russell), Grelling’s paradox (Germany, 1908), Hempel's paradox of confirmation (USA, 1940s), and Goodman’s paradox of prediction (USA, 1955). This volume also presents and comments on some of the antinomic discourse found in some Buddhist texts (namely, in Nagarjuna, India, 2nd Cent. CE; and in the Diamond Sutra, date unknown, but probably in an early century CE).




Paradoxes and Their Resolutions


Book Description

Paradoxes and their Resolutions by Avi Sion collects in one volume the essays that he has written in the past (over a period of some 27 years) on this subject. It comprises expositions and resolutions of many (though not all) ancient and modern paradoxes, including: the Protagoras-Euathlus paradox, the Liar paradox and the Sorites paradox, Russell's paradox and its derivatives the Barber paradox and the Master Catalogue paradox, Grelling's paradox, Hempel's paradox of confirmation, and Goodman's paradox of prediction. This volume also presents and comments on some of the antinomic discourse found in some Buddhist texts (namely, in Nagarjuna and in the Diamond Sutra).




Paradoxes


Book Description

A paradox (from the Greek word meaning "contrary to expectation") is a statement that seems self-contradictory but may be true. Exploring the distinction between truth and plausibility, the author presents a standardized, straightforward approach for deciphering paradoxes -- one that can be applied to all their forms, whether clever wordplay or more complex issues.




Dictionary of Paradox


Book Description

Dictionary of Paradox is a fascinating reference work for scholars, students, and the general public. It describes those paradoxes that are either especially interesting today or that have a continuing interest from the historical point of view. Each main entry consists of four parts: a statement of the paradox, an explanation of its paradoxicality, a discussion of attempted or accepted resolutions, and a list of readings. In addition, there are other entries explaining terms relating to paradoxes, listing alternative names for the main entries, or discussing variants of the entries. All information is extensively cross-referenced.




Paradox and Paraconsistency


Book Description

In a world plagued by conflict one might expect that the exact sciences of logic and mathematics would provide a safe harbor. In fact these disciplines are rife with internal divisions between different, often incompatible systems. This original book explores apparently intractable disagreements in logic and the foundations of mathematics and sets out conflict resolution strategies that evade these stalemates. This book makes an important contribution to such areas of philosophy as logic, philosophy of language and argumentation theory. It will also be of interest to mathematicians and computer scientists.




Paradoxes from A to Z


Book Description

'This sentence is false'. Is it? If a hotel with an infinite number of rooms is fully occupied, can it still accommodate a new guest? How can we have emotional responses to fiction, when we know that the objects of our emotions do not exist?




Paradox Lost


Book Description

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.




The Conflict Paradox


Book Description

Find the roadmap to the heart of the conflict The Conflict Paradox is a guide to taking conflict to a more productive place. Written by one of the founders of the professional conflict management field and co-published with the American Bar Association, this book outlines seven major dilemmas that conflict practitioners face every day. Readers will find expert guidance toward getting to the heart of the conflict and will be challenged to adopt a new way to think about the choices disputants face,. They will also be offered practical tools and techniques for more successful intervention. Using stories, experiences, and reflective exercises to bring these concepts to life, the author provides actionable advice for overcoming roadblocks to effective conflict work. Disputants and interveners alike are often stymied by what appear to be unacceptable alternatives,. The Conflict Paradox offers a new way of understanding and working with these so that they become not obstacles but opportunities for helping people move through conflict successfully.. Examine the contradictions at the center of almost all conflicts Learn how to bring competition and cooperation, avoidance and engagement, optimism and realism together to make for more power conflict intervention Deal effectively with the tensions between emotions, and logic, principles and compromise, neutrality and advocacy, community and autonomy Discover the tools and techniques that make conflicts less of a hurdle to overcome and more of an opportunity to pursue Conflict is everywhere, and conflict intervention skills are valuable far beyond the professional and legal realms. With insight and creativity, solutions are almost always possible. For conflict interveners and disputants looking for an effective and creative approach to understanding and working with conflict , The Conflict Paradox provides a powerful and important roadmap for conflict intervention.




Sleight of Mind


Book Description

This “fun, brain-twisting book . . . will make you think” as it explores more than 75 paradoxes in mathematics, philosophy, physics, and the social sciences (Sean Carroll, New York Times–bestselling author of Something Deeply Hidden). Paradox is a sophisticated kind of magic trick. A magician’s purpose is to create the appearance of impossibility, to pull a rabbit from an empty hat. Yet paradox doesn’t require tangibles, like rabbits or hats. Paradox works in the abstract, with words and concepts and symbols, to create the illusion of contradiction. There are no contradictions in reality, but there can appear to be. In Sleight of Mind, Matt Cook and a few collaborators dive deeply into more than 75 paradoxes in mathematics, physics, philosophy, and the social sciences. As each paradox is discussed and resolved, Cook helps readers discover the meaning of knowledge and the proper formation of concepts—and how reason can dispel the illusion of contradiction. The journey begins with “a most ingenious paradox” from Gilbert and Sullivan’s Pirates of Penzance. Readers will then travel from Ancient Greece to cutting-edge laboratories, encounter infinity and its different sizes, and discover mathematical impossibilities inherent in elections. They will tackle conundrums in probability, induction, geometry, and game theory; perform “supertasks”; build apparent perpetual motion machines; meet twins living in different millennia; explore the strange quantum world—and much more.




Revenge of the Liar


Book Description

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.