Conceptions of Set and the Foundations of Mathematics

Luca Incurvati's book explores the major conceptions of set and discusses their virtues, shortcomings, and alternative set theories. It presents a novel, minimalist account of the iterative conception that does not require the existence of a metaphysical dependence between a set and its members. It will be of interest to researchers and advanced students in logic and the philosophy of mathematics.

\n Format: Paperback / softback
\n Length: 254 pages
\n Publication date: 15 July 2021
\n Publisher: Cambridge University Press
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Sets are fundamental to mathematics and its foundations, yet their precise nature remains a subject of ongoing exploration. In his comprehensive book, Luca Incurvati delves into the diverse conceptions of sets and examines their strengths and limitations. He introduces the fundamentals of alternative set theories, which are closely intertwined with these conceptions. Incurvati demonstrates that the conceptual landscape encompasses not only the naïve and iterative perspectives but also the limitation of size, definite, stratified, and graph conceptions. Furthermore, he presents a novel and minimalist account of the iterative conception, which operates without the necessity of a metaphysical dependence relation between a set and its members. This book appeals to researchers and advanced students in logic and the philosophy of mathematics, offering a deep understanding of the intricate world of sets.

Sets are fundamental to mathematics and its foundations, yet their precise nature remains a subject of ongoing exploration. In his comprehensive book, Luca Incurvati delves into the diverse conceptions of sets and examines their strengths and limitations. He introduces the fundamentals of alternative set theories, which are closely intertwined with these conceptions. Incurvati demonstrates that the conceptual landscape encompasses not only the naïve and iterative perspectives but also the limitation of size, definite, stratified, and graph conceptions. Furthermore, he presents a novel and minimalist account of the iterative conception, which operates without the necessity of a metaphysical dependence relation between a set and its members. This book appeals to researchers and advanced students in logic and the philosophy of mathematics, offering a deep understanding of the intricate world of sets.

\n Weight: 446g\n
Dimension: 169 x 243 x 17 (mm)\n
ISBN-13: 9781108708791\n \n