A Logical Foundation for Potentialist Set Theory - Couverture souple

Sharon, Berry

 
9781108994880: A Logical Foundation for Potentialist Set Theory

Synopsis

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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À propos de l?auteur

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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Autres éditions populaires du même titre

9781108834315: A Logical Foundation for Potentialist Set Theory

Edition présentée

ISBN 10 :  1108834310 ISBN 13 :  9781108834315
Editeur : Cambridge University Press, 2022
Couverture rigide