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  1. Home
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  3. A Logical Foundation for Potentialist Set Theory
  • Cited by 4
Publisher:
Cambridge University Press
Online publication date:
February 2022
Print publication year:
2022
Online ISBN:
9781108992756
DOI:
https://doi.org/10.1017/9781108992756
Subjects:
Mathematics, Logic, Categories and Sets, Philosophy of Science, Philosophy
Information

Book description

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.

Awards

Finalist, 2023 PROSE Philosophy Award, Association of American Publishers

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Contents

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Contents

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References

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