Conceptions of Set and the Foundations of Mathematics
Book Details
Format
Paperback / Softback
ISBN-10
110870879X
ISBN-13
9781108708791
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jul 15th, 2021
Print length
256 Pages
Weight
446 grams
Dimensions
16.90 x 24.30 x 1.70 cms
Product Classification:
Philosophy: logicPhilosophy of mathematicsPhilosophy of sciencePhilosophy: logic
Ksh 6,300.00
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This book presents a detailed and critical examination of the conceptions of set on offer and defends a novel version of the so-called iterative conception. It will be of interest to researchers and advanced students in logic and the philosophy of mathematics.
Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated. He shows that the conceptual landscape includes not only the naïve and iterative conceptions but also the limitation of size conception, the definite conception, the stratified conception and the graph conception. In addition, he presents a novel, minimalist account of the iterative conception which does not require the existence of a relation of metaphysical dependence between a set and its members. His book will be of interest to researchers and advanced students in logic and the philosophy of mathematics.
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