Justin Clarke-Doane's Books

Morality and Mathematics

By: Justin Clarke-Doane

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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.

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219

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ISBN 10

0198823665

ISBN 13

9780198823667

Mathematics and Metaphilosophy

By: Justin Clarke-Doane

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Mathematics and Metaphilosophy

By: Justin Clarke-Doane

This Element discusses the problem of mathematical knowledge, and its broader philosophical ramifications. It argues that the challenge to explain the (defeasible) justification of our mathematical beliefs ('the justificatory challenge'), arises insofar as disagreement over axioms bottoms out in disagreement over intuitions. And it argues that the challenge to explain their reliability ('the reliability challenge'), arises to the extent that we could have easily had different beliefs. The Element shows that mathematical facts are not, in general, empirically accessible, contra Quine, and that they cannot be dispensed with, contra Field. However, it argues that they might be so plentiful that our knowledge of them is unmysterious. The Element concludes with a complementary 'pluralism' about modality, logic and normative theory, highlighting its surprising implications. Metaphysically, pluralism engenders a kind of perspectivalism and indeterminacy. Methodologically, it vindicates Carnap's pragmatism, transposed to the key of realism.

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105

Publisher

Cambridge University Press

Published Date

ISBN 10

1009002295

ISBN 13

9781009002295

Morality and Mathematics

By: Justin Clarke-Doane

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Morality and Mathematics

By: Justin Clarke-Doane

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.

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Page Count

208

Publisher

Oxford University Press

Published Date

ISBN 10

0192556800

ISBN 13

9780192556806

Mathematics and Metaphilosophy

By: Justin Clarke-Doane

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Mathematics and Metaphilosophy

By: Justin Clarke-Doane

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

105

Publisher

Cambridge University Press

Published Date

ISBN 10

1009002295

ISBN 13

9781009002295

Book's by Justin Clarke-Doane

Morality and Mathematics

Morality and Mathematics

Mathematics and Metaphilosophy

Mathematics and Metaphilosophy

Morality and Mathematics

Morality and Mathematics

Mathematics and Metaphilosophy

Mathematics and Metaphilosophy

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