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A Logical Foundation for Potentialist Set Theory (Hardcover, New Ed)
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A Logical Foundation for Potentialist Set Theory (Hardcover, New Ed)
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In many ways set theory lies at the heart of modern mathematics,
and it does powerful work both philosophical and mathematical - as
a foundation for the subject. However, certain philosophical
problems raise serious doubts about our acceptance of the axioms of
set theory. In a detailed and original reassessment of these
axioms, Sharon Berry uses a potentialist (as opposed to actualist)
approach to develop a unified determinate conception of
set-theoretic truth that vindicates many of our intuitive
expectations regarding set theory. Berry further defends her
approach against a number of possible objections, and she shows how
a notion of logical possibility that is useful in formulating
Potentialist set theory connects in important ways with philosophy
of language, metametaphysics and philosophy of science. Her book
will appeal to readers with interests in the philosophy of set
theory, modal logic, and the role of mathematics in the sciences.
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