Roy T Cook - Böcker

Roy T Cook examines the Yablo paradox--a paradoxical, infinite sequence of sentences, each of which entails the falsity of all others later than it in the sequence--with special attention paid to the idea that this paradox provides us with a semantic paradox that involves no circularity. The three main chapters of the book focus, respectively, on three questions that can be (and have been) asked about the Yablo construction. First we have the Characterization Problem, which asks what patterns of sentential reference (circular or not) generate semantic paradoxes. Addressing this problem requires an interesting and fruitful detour through the theory of directed graphs, allowing us to draw interesting connections between philosophical problems and purely mathematical ones. Next is the Circularity Question, which addresses whether or not the Yablo paradox is genuinely non-circular. Answering this question is complicated: although the original formulation of the Yablo paradox is circular, it turns out that it is not circular in any sense that can bear the blame for the paradox. Further, formulations of the paradox using infinitary conjunction provide genuinely non-circular constructions. Finally, Cook turns his attention to the Generalizability Question: can the Yabloesque pattern be used to generate genuinely non-circular variants of other paradoxes, such as epistemic and set-theoretic paradoxes? Cook argues that although there are general constructions-unwindings--that transform circular constructions into Yablo-like sequences, it turns out that these sorts of constructions are not 'well-behaved' when transferred from semantic puzzles to puzzles of other sorts. He concludes with a short discussion of the connections between the Yablo paradox and the Curry paradox.

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.

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.

This dictionary introduces undergraduate and post-graduate students in philosophy, mathematics, and computer science to the main problems and positions in philosophical logic. Coverage includes not only key figures, positions, terminology, and debates within philosophical logic itself, but issues in related, overlapping disciplines such as set theory and the philosophy of mathematics as well. Entries are extensively cross-referenced, so that each entry can be easily located within the context of wider debates, thereby providing a valuable reference both for tracking the connections between concepts within logic and for examining the manner in which these concepts are applied in other philosophical disciplines.

THE ART OF COMICS The Art of Comics: A Philosophical Introduction is the first-ever collection of essays published in English devoted to the philosophical questions raised by the art of comics. The volume, which includes a preface by the renowned comics author Warren Ellis, contains ten cutting-edge essays on a range of philosophical topics raised by comics and graphic novels. These include the definition of comics, the nature of comics genres, the relationship between comics and other arts such as film and literature, the way words and pictures combine in comics, comics authorship, the “language” of comics, and the metaphysics of comics. The book also contains an in-depth introduction by the co-editors which provides an overview of both the book and its subject, as well as a brief history of comics and an overview of extant work on the philosophy of comics. In an area of growing philosophical interest, this volume constitutes a great leap forward in the development of this fast expanding field, and makes a major contribution to the philosophy of art.

How profound is a little plastic building block? It turns out the answer is “very”! 22 chapters explore philosophy through the world of LEGO which encompasses the iconic brick itself as well as the animated televisions shows, feature films, a vibrant adult fan base with over a dozen yearly conventions, an educational robotics program, an award winning series of videogames, hundreds of books, magazines, and comics, a team-building workshop program for businesses and much, much more. Dives into the many philosophical ideas raised by LEGO bricks and the global multimedia phenomenon they have createdTackles metaphysical, logical, moral, and conceptual issues in a series of fascinating and stimulating essaysIntroduces key areas of philosophy through topics such as creativity and play, conformity and autonomy, consumption and culture, authenticity and identity, architecture, mathematics, intellectual property, business and environmental ethicsWritten by a global group of esteemed philosophers and LEGO fansA lively philosophical discussion of bricks, minifigures, and the LEGO world that will appeal to LEGO fans and armchair philosophers alike

InSeptember2000theArchéCentrelauncheda ve-yearresearchprojecten- tled the Logical and Metaphysical Foundations of Classical Mathematics. Its goal was to study the prospects, philosophical and technical, for abstractionist foundations for the classical mathematical theories of the natural, real and complex numbers and standard set theory. Funding was provided by the then Arts and Humanities Research Board (now the Arts and Humanities Research Council) for the appointment of full-time postdoctoral research fellows and PhD students to collaborate with more senior colleagues in the project, and at the same time the British Academy awarded the Centre additional resources to establish an International Network of scholars to be associated with the work. This was the beginning of the serial ‘Abstraction workshops’ of which the Centre had staged no less than eleven by December 2006. We gra- fully acknowledge the generous support of the Academy and Council, sine qua non. The project seminars and Network meetings generated—and continue to generate—a large number of leading-edge research papers on all aspects of the project agenda. The present volume is the rst of what we hope will be a number of anthologies of these researches. With two exceptions,—the contribution by the late George Boolos and the co-authored paper by Gabriel Uzquiano and Ignacio Jané,—the papers that Roy Cook has collected in the present volume are all authored by sometime members of the project team or of the British Academy Network.

THE ART OF COMICS The Art of Comics: A Philosophical Introduction is the first-ever collection of essays published in English devoted to the philosophical questions raised by the art of comics. The volume, which includes a preface by the renowned comics author Warren Ellis, contains ten cutting-edge essays on a range of philosophical topics raised by comics and graphic novels. These include the definition of comics, the nature of comics genres, the relationship between comics and other arts such as film and literature, the way words and pictures combine in comics, comics authorship, the “language” of comics, and the metaphysics of comics. The book also contains an in-depth introduction by the co-editors which provides an overview of both the book and its subject, as well as a brief history of comics and an overview of extant work on the philosophy of comics. In an area of growing philosophical interest, this volume constitutes a great leap forward in the development of this fast expanding field, and makes a major contribution to the philosophy of art.

This book explores the research of Professor Hilary Putnam, a Harvard professor as well as a leading philosopher, mathematician and computer scientist. It features the work of distinguished scholars in the field as well as a selection of young academics who have studied topics closely connected to Putnam’s work.It includes 12 papers that analyze, develop, and constructively criticize this notable professor's research in mathematical logic, the philosophy of logic and the philosophy of mathematics. In addition, it features a short essay presenting reminiscences and anecdotes about Putnam from his friends and colleagues, and also includes an extensive bibliography of his work in mathematics and logic.The book offers readers a comprehensive review of outstanding contributions in logic and mathematics as well as an engaging dialogue between prominent scholars and researchers. It provides those interested in mathematical logic, the philosophy of logic, and the philosophy of mathematics unique insights into the work of Hilary Putnam.