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Set Theory and its Philosophy - A Critical Introduction (Paperback, New)
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Set Theory and its Philosophy - A Critical Introduction (Paperback, New)
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Michael Potter presents a comprehensive new philosophical
introduction to set theory. Anyone wishing to work on the logical
foundations of mathematics must understand set theory, which lies
at its heart. Potter offers a thorough account of cardinal and
ordinal arithmetic, and the various axiom candidates. He discusses
in detail the project of set-theoretic reduction, which aims to
interpret the rest of mathematics in terms of set theory. The key
question here is how to deal with the paradoxes that bedevil set
theory. Potter offers a strikingly simple version of the most
widely accepted response to the paradoxes, which classifies sets by
means of a hierarchy of levels. What makes the book unique is that
it interweaves a careful presentation of the technical material
with a penetrating philosophical critique. Potter does not merely
expound the theory dogmatically but at every stage discusses in
detail the reasons that can be offered for believing it to be true.
Set Theory and its Philosophy is a key text for philosophy,
mathematical logic, and computer science.
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