The Epistemic Consequences of Paradox
The Epistemic Consequences of Paradox

Author: Bryan Frances

Publisher: Cambridge University Press

Published: 2022-07-28

Total Pages: 137

ISBN-13: 1009059939

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By pooling together exhaustive analyses of certain philosophical paradoxes, we can prove a series of fascinating results regarding philosophical progress, agreement on substantive philosophical claims, knockdown arguments in philosophy, the wisdom of philosophical belief (quite rare, because the knockdown arguments show that we philosophers have been wildly wrong about language, logic, truth, or ordinary empirical matters), the epistemic status of metaphysics, and the power of philosophy to refute common sense. As examples, this Element examines the Sorites Paradox, the Liar Paradox, and the Problem of the Many – although many other paradoxes can do the trick too.

Paradox
Paradox

Author: Tom Vine

Publisher: Taylor & Francis

Published: 2023-11-20

Total Pages: 259

ISBN-13: 100099418X

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History reveals countless attempts by great minds to solve life’s paradoxes. But what if these attempts miss the point? What if paradox is life? Contrary to the supposedly sublime linear logic that underpins our prevalent modes of theoretical and empirical enquiry, in this fascinating book, organizational anthropologist Tom Vine charts the pervasiveness of paradox across the academy: from arithmetic to zoology. In so doing, he reflects on the concept of paradox as a widespread existential ‘pattern’, a pattern which holds significant metatheoretical and pedagogical potential. Paradoxes, he argues, are not inconveniences or ‘fault lines in our common-sense world’ but are coded into our very existence. Paradoxes thus present their own vital logics that shape our lives: they thwart moral and ideological uniformity; they even out subjective experience between ‘the haves’ and ‘the have nots’; and they shed light on the opaque concepts of consciousness and agency. This book will appeal to anybody with a curious mind, particularly scholars and students with an interest in one or more of the following: complexity theory, critical pedagogies, ethnography, nonlinear dynamics, organization theory, and systems theory.

Paradox
Paradox

Author: Doris Olin

Publisher: McGill-Queen's Press - MQUP

Published: 2003-10-27

Total Pages: 233

ISBN-13: 0773583742

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Paradoxes are more than just intellectual puzzles: they raise substantive philosophical issues. Indeed, an apparently impeccable argument that leads to an apparently outrageous conclusion is a threat to the very trustworthiness of reason. 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 be such a fascinating area of philosophical inquiry. Olin examines the nature of paradox with a rigorous definition, a clear statement of what counts as a successful resolution, and a description of how one can make progress on a paradox short of offering a full solution. The view that a statement can be both true and false and that contradictions can be true and rationally believed is given particular attention. She then examines a selection of paradoxes, including the Prediction Paradox, the Preface Paradox, the Lottery Paradox, Newcomb's Problem, the Prisoner's Dilemma, and the Sorites Paradox. The selection is not arbitrary: each paradox is shown to pack a considerable philosophical punch and raise difficult issues about the rationality of belief, the rationality of action, and the coherence of our language. For each paradox Olin systematically delineates each stage of the argument to reveal the philosophical impact of its resolution.

The Knowability Paradox
The Knowability Paradox

Author: Jonathan L. Kvanvig

Publisher: OUP Oxford

Published: 2006-02-09

Total Pages: 232

ISBN-13: 0191536083

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The paradox of knowability, derived from a proof by Frederic Fitch in 1963, is one of the deepest paradoxes concerning the nature of truth. Jonathan Kvanvig argues that the depth of the paradox has not been adequately appreciated. It has long been known that the paradox threatens antirealist conceptions of truth according to which truth is epistemic. If truth is epistemic, what better way to express that idea than to maintain that all truths are knowable? In the face of the paradox, however, such a characterization threatens to undermine antirealism. If Fitch's proof is valid, then one can be an antirealist of this sort only by endorsing the conclusion of the proof that all truths are known. Realists about truth have tended to stand on the sidelines and cheer the difficulties faced by their opponents from Fitch's proof. Kvanvig argues that this perspective is wholly unwarranted. He argues that there are two problems raised by the paradox, one that threatens antirealism about truth and the other that threatens everybody's view about truth, realist or antirealist. The problem facing antirealism has had a number of proposed solutions over the past 40 years, and the results have not been especially promising with regard to the first problem. The second problem has not even been acknowledged, however, and the proposals regarding the first problem are irrelevant to the second problem. This book thus provides a thorough investigation of the literature on the paradox, and also proposes a solution to the deeper of the two problems raised by Fitch's proof. It provides a complete picture of the paradoxicality that results from Fitch's proof, and presents a solution to the paradox that claims to address both problems raised by the original proof.

Essays on Paradoxes
Essays on Paradoxes

Author: Terry Horgan

Publisher: Oxford University Press

Published: 2017

Total Pages: 337

ISBN-13: 019985842X

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This volume brings together many of Terence Horgan's essays on paradoxes: Newcomb's problem, the Monty Hall problem, the two-envelope paradox, the sorites paradox, and the Sleeping Beauty problem. Newcomb's problem arises because the ordinary concept of practical rationality constitutively includes normative standards that can sometimes come into direct conflict with one another. The Monty Hall problem reveals that sometimes the higher-order fact of one's having reliably received pertinent new first-order information constitutes stronger pertinent new information than does the new first-order information itself. The two-envelope paradox reveals that epistemic-probability contexts are weakly hyper-intensional; that therefore, non-zero epistemic probabilities sometimes accrue to epistemic possibilities that are not metaphysical possibilities; that therefore, the available acts in a given decision problem sometimes can simultaneously possess several different kinds of non-standard expected utility that rank the acts incompatibly. The sorites paradox reveals that a certain kind of logical incoherence is inherent to vagueness, and that therefore, ontological vagueness is impossible. The Sleeping Beauty problem reveals that some questions of probability are properly answered using a generalized variant of standard conditionalization that is applicable to essentially indexical self-locational possibilities, and deploys "preliminary" probabilities of such possibilities that are not prior probabilities. The volume also includes three new essays: one on Newcomb's problem, one on the Sleeping Beauty problem, and an essay on epistemic probability that articulates and motivates a number of novel claims about epistemic probability that Horgan has come to espouse in the course of his writings on paradoxes. A common theme unifying these essays is that philosophically interesting paradoxes typically resist either easy solutions or solutions that are formally/mathematically highly technical. Another unifying theme is that such paradoxes often have deep-sometimes disturbing-philosophical morals.

Paradoxes
Paradoxes

Author: Roy T. Cook

Publisher: John Wiley & Sons

Published: 2013-04-03

Total Pages: 181

ISBN-13: 0745665519

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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.

The Yablo Paradox
The Yablo Paradox

Author: Roy T Cook

Publisher: OUP Oxford

Published: 2014-05-29

Total Pages: 205

ISBN-13: 0191648388

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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 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.

Moore's Paradox
Moore's Paradox

Author: Mitchell S. Green

Publisher: Clarendon Press

Published: 2007-01-11

Total Pages: 260

ISBN-13: 0191515728

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G. E. Moore famously observed that to assert, 'I went to the pictures last Tuesday but I don't believe that I did' would be 'absurd'. Moore calls it a 'paradox' that this absurdity persists despite the fact that what I say about myself might be true. Over half a century later, such sayings continue to perplex philosophers and other students of language, logic, and cognition. Ludwig Wittgenstein was fascinated by Moore's example, and the absurdity of Moore's saying was intensively discussed in the mid-20th century. Yet the source of the absurdity has remained elusive, and its recalcitrance has led researchers in recent decades to address it with greater care. In this definitive treatment of the problem of Moorean absurdity Green and Williams survey the history and relevance of the paradox and leading approaches to resolving it, and present new essays by leading thinkers in the area. Contributors Jonathan Adler, Bradley Armour-Garb, Jay D. Atlas, Thomas Baldwin, Claudio de Almeida, André Gallois, Robert Gordon, Mitchell Green, Alan Hájek, Roy Sorensen, John Williams

The Rule-Following Paradox and its Implications for Metaphysics
The Rule-Following Paradox and its Implications for Metaphysics

Author: Jody Azzouni

Publisher: Springer

Published: 2017-03-08

Total Pages: 134

ISBN-13: 3319490613

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This monograph presents Azzouni’s new approach to the rule-following paradox. His solution leaves intact an isolated individual’s capacity to follow rules, and it simultaneously avoids replacing the truth conditions for meaning-talk with mere assertability conditions for that talk. Kripke’s influential version of Wittgenstein’s rule-following paradox—and Wittgenstein’s views more generally—on the contrary, make rule-following practices and assertions about those practices subject to community norms without which they lose their cogency. Azzouni summarizes and develops Kripke’s original version of Wittgenstein’s rule-following paradox to make salient the linchpin assumptions of the paradox. By doing so, Azzouni reveals how compelling Kripke’s earlier work on the paradox was. Objections raised over the years by Fodor, Forbes Ginsborg, Goldfarb, Tait, Wright, and many others, are all shown to fail. No straight solution (a solution that denies an assumption of the paradox) can be made to work. Azzouni illustrates this in detail by showing that a popular family of straight solutions due to Lewis and refined by Williams, “reference magnetism,” fail as well. And yet an overlooked sceptical solution is still available in logical space. Azzouni describes a series of “disposition-meaning” private languages that he shows can be successfully used by a population of speakers to communicate with one another despite their ideolectical character. The same sorts of languages enable solitary “Robinson Crusoes” to survive and flourish in their island habitats. These languages—sufficiently refined—have the same properties normal human languages have; and this is the key to solving the rule-following paradox without sacrificing the individual’s authority over her self-imposed rules or her ability to follow those rules. Azzouni concludes this unusual monograph by uncovering a striking resemblance between the rule-following paradox and Hume’s problem of induction: he shows the rule-following paradox to be a corollary of Hume’s problem that arises when the problem of induction is applied to an individual’s own abilities to follow rules. “The book is clearly and engagingly written, and the conclusions are well-argued-for. (Depressingly well-argued-for in the case of Chapter 3, as I've always been partial to Lewisian responses to Putnam's model-theoretic argument--I'm rethinking that now.) And the proposed solution to the rule-following paradox really is novel.” Joshua Brown - Gustavus Adolphus College