Morality and Mathematics

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Justin Clarke-Doane (Associate Professor of Philosophy, Associate Professor of Philosophy, Columbia University)

Morality and Mathematics

Justin Clarke-Doane (Associate Professor of Philosophy, Associate Professor of Philosophy, Columbia University)

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English

Oxford University Press
12 March 2020

Philosophy: metaphysics & ontology; Philosophy: epistemology & theory of knowledge; Philosophy: logic; Ethics & moral philosophy; Philosophy of mathematics

To what extent are the subjects of our thoughts and talk real? This is the question of realism. In this book, Justin Clarke-Doane explores arguments for and against moral realism and mathematical realism, how they interact, and what they can tell us about areas of philosophical interest more generally.

He argues that, contrary to widespread belief, our mathematical beliefs have no better claim to being self-evident or provable than our moral beliefs. Nor do our mathematical beliefs have better claim to being empirically justified than our moral beliefs. It is also incorrect that reflection on the genealogy of our moral beliefs establishes a lack of parity between the cases. In general, if one is a moral antirealist on the basis of epistemological considerations, then one ought to be a mathematical antirealist as well. And, yet, Clarke-Doane shows that moral realism and mathematical realism do not stand or fall together -- and for a surprising reason. Moral questions, insofar as they are practical, are objective in a sense that mathematical questions are not, and the sense in which they are objective can only be explained by assuming practical anti-realism. One upshot of the discussion is that the concepts of realism and objectivity, which are widely identified, are actually in tension. Another is that the objective questions in the neighborhood of factual areas like logic, modality, grounding, and nature are practical questions too. Practical philosophy should, therefore, take center stage.

By: Justin Clarke-Doane (Associate Professor of Philosophy Associate Professor of Philosophy Columbia University)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 223mm, Width: 141mm, Spine: 17mm
Weight: 388g
ISBN: 9780198823667
ISBN 10: 0198823665
Pages: 224
Publication Date: 12 March 2020
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Introduction 1: Realism, Ontology, and Objectivity 2: Self-Evidence, Proof, and Disagreement 3: Observation and Indispensability 4: Genealogical Debunking Arguments 5: Explaining our Reliability 6: Realism, Objectivity, and Evaluation Conclusion

Justin Clarke-Doane is Associate Professor of Philosophy at Columbia University. He is also an Honorary Research Fellow at the University of Birmingham and an Adjunct Research Associate at Monash University. He has previously been Visiting Scholar at the Institute for the History and Philosophy of Science and Technology (IHPST) at Pantheon-Sorbonne University (Paris 1). His work centers on metaphysical and epistemological problems surrounding apparently a priori domains, such as morality, modality, mathematics, and logic. He received his PhD in Philosophy from New York University in 2011 and obtained his BA in Philosophy and Mathematics from New College of Florida in 2005.

Reviews for Morality and Mathematics

Morality and Mathematics is an outstanding achievement and will be a standard point of reference for future work on the topics of which it treats. * Hallvard Lillehammer, International Journal for the Study of Skepticism * Recommended. Graduate students, researchers, faculty. * S. A. Mason, CHOICE * Clarke-Doane's book offers a coherent and plausible set of answers to the notorious epistemological questions provoked by morality, and to the analogous questions that are provoked by mathematics. It is striking for its creativity, its rigorous arguments, its many subtle but important distinctions, its unusual breadth of expertise (covering the philosophy of language, metaphysics, epistemology, philosophy of mathematics, and meta-ethics), and its rational control of a daunting battery of interacting considerations from these various branches of the subject. Exceptionally impressive philosophical talent and maturity are on display here. Needless to say, we probably haven't yet been given the final truth about these matters. But it's certain that anyone aiming to do better will have to grapple with Clarke-Doane's formidable arguments and conclusions. * Paul Horwich, New York University * I think Morality and Mathematics is a clever and valuable book,...It should interest all philosophers concerned with the epistemology of mathematics, and morals-or access worries generally. * Ethical Theory and Moral Practice *