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Books > Science & Mathematics > Mathematics > Philosophy of mathematics
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Morality and Mathematics (Hardcover)
Loot Price: R2,378
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Morality and Mathematics (Hardcover)
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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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