Sharon Berry
A Logical Foundation for Potentialist Set Theory
A Logical Foundation for Potentialist Set Theory
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Sharon Berry develops a unified determinate conception of set-theoretic truth using a potentialist approach, vindicating intuitive expectations and connecting with philosophy of language, metametaphysics, and science.
Format: Hardback
Length: 288 pages
Publication date: 17 February 2022
Publisher: Cambridge University Press
Set theory, a fundamental pillar of modern mathematics, holds immense significance both philosophically and mathematically. It serves as a robust foundation for the field, providing a solid framework for understanding the complexities of mathematics. Nevertheless, certain philosophical issues cast doubt on our unwavering acceptance of the axioms that underpin set theory. In a groundbreaking and innovative reevaluation of these axioms, Sharon Berry adopts a potentialist perspective, challenging the traditional actualist approach. Through this novel approach, Berry develops a cohesive and determinate conception of set-theoretic truth that aligns with our intuitive expectations regarding set theory. Moreover, she robustly defends her approach against potential objections, showcasing how it connects seamlessly with philosophy of language, metametaphysics, and philosophy of science. This captivating book will captivate readers with a passion for the philosophy of set theory, modal logic, and the profound role of mathematics in the sciences.
Set theory, a fundamental pillar of modern mathematics, holds immense significance both philosophically and mathematically. It serves as a robust foundation for the field, providing a solid framework for understanding the complexities of mathematics. Nevertheless, certain philosophical issues cast doubt on our unwavering acceptance of the axioms that underpin set theory. In a groundbreaking and innovative reevaluation of these axioms, Sharon Berry adopts a potentialist perspective, challenging the traditional actualist approach. Through this novel approach, Berry develops a cohesive and determinate conception of set-theoretic truth that aligns with our intuitive expectations regarding set theory. Moreover, she robustly defends her approach against potential objections, showcasing how it connects seamlessly with philosophy of language, metametaphysics, and philosophy of science. This captivating book will captivate readers with a passion for the philosophy of set theory, modal logic, and the profound role of mathematics in the sciences.
Weight: 598g
Dimension: 239 x 253 x 21 (mm)
ISBN-13: 9781108834315
Edition number: New ed
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