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Books > Science & Mathematics > Mathematics > Philosophy of mathematics
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Lectures on Inductive Logic (Hardcover)
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Lectures on Inductive Logic (Hardcover)
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Logic is a field studied mainly by researchers and students of
philosophy, mathematics and computing. Inductive logic seeks to
determine the extent to which the premisses of an argument entail
its conclusion, aiming to provide a theory of how one should reason
in the face of uncertainty. It has applications to decision making
and artificial intelligence, as well as how scientists should
reason when not in possession of the full facts. In this book, Jon
Williamson embarks on a quest to find a general, reasonable,
applicable inductive logic (GRAIL), all the while examining why
pioneers such as Ludwig Wittgenstein and Rudolf Carnap did not
entirely succeed in this task. Along the way he presents a general
framework for the field, and reaches a new inductive logic, which
builds upon recent developments in Bayesian epistemology (a theory
about how strongly one should believe the various propositions that
one can express). The book explores this logic in detail, discusses
some key criticisms, and considers how it might be justified. Is
this truly the GRAIL? Although the book presents new research, this
material is well suited to being delivered as a series of lectures
to students of philosophy, mathematics, or computing and doubles as
an introduction to the field of inductive logic
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