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Events between which we have no epistemic reason to discriminate have equal epistemic probabilities. Bertrand's chord paradox, however, appears to show this to be false, and thereby poses a general threat to probabilities for continuum sized state spaces. Articulating the nature of such spaces involves some deep mathematics and that is perhaps why the recent literature on Bertrand's Paradox has been almost entirely from mathematicians and physicists, who have often deployed elegant mathematics of considerable sophistication. At the same time, the philosophy of probability has been left out. In particular, left out entirely are the philosophical ground of the principle of indifference, the nature of the principle itself, the stringent constraint this places on the mathematical representation of the principle needed for its application to continuum sized event spaces, and what these entail for rigour in developing the paradox itself. This book puts the philosophy and its entailments back in and in so doing casts a new light on the paradox, giving original analyses of the paradox, its possible solutions, the source of the paradox, the philosophical errors we make in attempting to solve it and what the paradox proves for the philosophy of probability. The book finishes with the author's proposed solution—a solution in the spirit of Bertrand's, indeed—in which an epistemic principle more general than the principle of indifference offers a principled restriction of the domain of the principle of indifference.Bertrand's Paradox and the Principle of Indifference will appeal to scholars and advanced students working in the philosophy of mathematics, epistemology, philosophy of science, probability theory and mathematical physics.

A Unified Treatment of Moore's Paradox is the culmination of a decades-long engagement with Moore's paradox by the world's leading authority on the subject, the late John Williams. The book offers a comprehensive account of Moore's paradox in thought and speech, both in its comissive and omissive forms. Williams argues that Moorean absurdity comes in degrees, and shows that contrary to one tradition in the literature on Moore's Paradox, we cannot explain Moorean absurdity in speech in terms of Moorean absurdity in thought, but must account for each form of absurdity in its own terms. Williams also explores the extent to which Moore's paradox may arise for attitudes other than belief, such as desire. Written with Williams'trademark clarity and wit, the book is packed with arguments bearing on a wide range of topics in epistemology, the philosophy of language, and the philosophy of mind.

This book argues that all truths systems include paradoxes. Paradoxes, such as found in the sciences, philosophy and religion offer themselves as mutually shared partners in a dialogue of arguably incommensurable truths on the basis of their underlying truth. Paradoxes leap beyond the epistemic border of individual truth claims. A dialogue of truths, grounded in paradox, reaches before, and at the same time past singular truths. A paradox-based dialogue of truths elevates the communication of disciplines, such as the sciences and religion, to a meta-discourse level from which differences are not perceived as obstacles for dialogue but as complementary aspects of a deeper and fuller truth in which all truths are grounded.

In recent years there have been a number of books-both anthologies and monographs-that have focused on the Liar Paradox and, more generally, on the semantic paradoxes, either offering proposed treatments to those paradoxes or critically evaluating ones that occupy logical space. At the same time, there are a number of people who do great work in philosophy, who have various semantic, logical, metaphysical and/or epistemological commitments that suggest that they should say something about the Liar Paradox, yet who have said very little, if anything, about that paradox or about the extant projects involving it. The purpose of this volume is to afford those philosophers the opportunity to address what might be described as reflections on the Liar.

This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.

Deflationist accounts of truth are widely held in contemporary philosophy: they seek to show that truth is a dispensable concept with no metaphysical depth. However, logical paradoxes present problems for deflationists, which their work has struggled to overcome. In this volume of fourteen original essays, a distinguished team of contributors explore the extent to which, if at all, deflationism can accommodate paradox. The volume will be of interest to philosophers of logic, philosophers of language, and anyone working on truth.