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Defending the Axioms - On the Philosophical Foundations of Set Theory (Paperback)
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Defending the Axioms - On the Philosophical Foundations of Set Theory (Paperback)
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Mathematics depends on proofs, and proofs must begin somewhere,
from some fundamental assumptions. For nearly a century, the axioms
of set theory have played this role, so the question of how these
axioms are properly judged takes on a central importance.
Approaching the question from a broadly naturalistic or
second-philosophical point of view, Defending the Axioms isolates
the appropriate methods for such evaluations and investigates the
ontological and epistemological backdrop that makes them
appropriate. In the end, a new account of the objectivity of
mathematics emerges, one refreshingly free of metaphysical
commitments.
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