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Book
Paradoxes
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ISBN: 9780745649436 9780745649443 0745649432 0745649440 Year: 2013 Publisher: Cambridge: Polity press,

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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.


Book
The Yablo paradox : an essay on circularity
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ISBN: 9780199669608 0199669600 0191760609 Year: 2014 Publisher: Oxford Oxford University Press

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Roy T. Cook examines the Yablo paradox, a paradoxical, infinite sequence of sentences, each of which entails the falsity of all others that follow it. He focuses on questions of characterization, circularity and generalizability, and pays special attention to the idea that it provides us with a semantic paradox that involves no circularity. 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.

The Arché Papers on the Mathematics of Abstraction
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ISBN: 1281138622 9786611138622 1402042655 1402042647 9048170907 Year: 2007 Volume: 71 Publisher: Dordrecht : Springer Netherlands : Imprint: Springer,

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This volume collects together a number of important papers concerning both the method of abstraction generally and the use of particular abstraction principles to reconstruct central areas of mathematics along logicist lines. Gottlob Frege's original logicist project was, in effect, refuted by Russell's paradox. Crispin Wright has recently revived Frege’s enterprise, however, providing a philosophical and technical framework within which a reconstruction of arithmetic is possible. While the Neo-Fregean project has received extensive attention and discussion, the present volume is unique in presenting a thorough going examination of the mathematical aspects of the neo-logicist project (and the particular philosophical issues arising from these technical concerns). Attention is focused on extending the Neo-Fregean treatment to all of mathematics, with the reconstruction of real analysis from various cut - or cauchy-sequence-related abstraction principles and the reconstruction of set theory from various restricted versions of Basic Law V as case studies. As a result, the volume provides a test of the scope and limits of the neo-logicist project, detailing what has been accomplished and outlining the desiderata still outstanding. All papers in the anthology have their origins in presentations at Arché events, thus providing a volume that is both a survey of the cutting edge in research on the technical aspects of abstraction and a catalogue of the work in this area that has been supported in various ways by Arché.


Digital
The Arché Papers on the Mathematics of Abstraction
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ISBN: 9781402042652 Year: 2008 Publisher: Dordrecht Springer

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The Arché papers on the mathematics of abstraction
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ISBN: 9781402042645 Year: 2007 Publisher: Dordrecht Springer

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Book
Hilary Putnam on Logic and Mathematics
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ISBN: 3319962744 3319962736 Year: 2018 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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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.


Book
The art of comics : a philosophical approach
Authors: ---
ISBN: 9781444334647 Year: 2012 Publisher: Malden, Mass. Wiley-Blackwell

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Aesthetics --- Film --- Literature


Digital
Hilary Putnam on Logic and Mathematics
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ISBN: 9783319962740 Year: 2018 Publisher: Cham Springer International Publishing

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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.


Book
The art of comics : a philosophical approach
Authors: --- ---
ISBN: 9781118799468 1118799461 1444334646 1444354841 9786613693044 1444354817 128078265X Year: 2014 Publisher: Chichester : Wiley-Blackwell


Book
The Routledge companion to comics
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ISBN: 1317915372 1315851334 1317915380 9781315851334 9780415729000 9780367581534 0415729009 9781317915362 9781317915379 Year: 2017 Publisher: New York ; London : Routledge,

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This cutting-edge handbook brings together an international roster of scholars to examine many facets of comics and graphic novels. Contributor essays provide authoritative, up-to-date overviewsof the major topics and questions within comic studies, offering readers a truly global approach to understanding the field. Essays examine: the history of the temporal, geographical, and formal development of comics, including topics like art comics, manga, comix, and the comics code; issues such as authorship, ethics, adaptation, and translating comics; connections between comics and other artistic media (drawing, caricature, film) as well as the linkages between comics and other academic fields like linguistics and philosophy; new perspectives on comics genres, from funny animal comics to war comics to romance comics and beyond. The Routledge Companion to Comics expertly organizes representative work from a range of disciplines, including media and cultural studies, literature, philosophy, and linguistics. More than an introduction to the study of comics, this book will serve as a crucial reference for anyone interested in pursuing research in the area, guiding students, scholars, and comics fans alike.

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