A Logical Foundation for Potentialist Set Theory

Author:   Sharon Berry
Publisher:   Cambridge University Press
ISBN:  

9781108994880


Pages:   248
Publication Date:   04 April 2024
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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A Logical Foundation for Potentialist Set Theory


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Overview

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.

Full Product Details

Author:   Sharon Berry
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Dimensions:   Width: 17.00cm , Height: 1.30cm , Length: 24.40cm
Weight:   0.437kg
ISBN:  

9781108994880


ISBN 10:   1108994881
Pages:   248
Publication Date:   04 April 2024
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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Sharon Berry is Associate Professor of Philosophy at Ashoka University. She has published articles in journals including Philosophical Studies, the British Journal of Philosophy of Science and Analysis.

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