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Morality and Mathematics
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Morality and Mathematics

Book Details

Format Paperback / Softback
ISBN-10 019889886X
ISBN-13 9780198898863
Publisher Oxford University Press
Imprint Oxford University Press
Country of Manufacture GB
Country of Publication GB
Publication Date Dec 25th, 2023
Print length 220 Pages
Weight 278 grams
Dimensions 13.50 x 21.60 x 1.40 cms
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Are there moral facts? Are there mathematical facts? Many say yes to the latter but no to the former. Justin Clarke-Doane argues that the situation is much more subtle: although there are no real moral facts, morality is objective in a paradigmatic respect. Conversely, while there are real mathematical facts, mathematics fails to be objective.
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. Moreover, the sense in which they are objective can be explained only 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 questions of logic, modality, grounding, and nature are practical questions too. Practical philosophy should, therefore, take center stage.

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