Conceptions of Set and the Foundations 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 na ve 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.

Author: Luca Incurvati
Publisher: Cambridge University Press
Published: 01/23/2020
Pages: 252
Binding Type: Hardcover
Weight: 1.30lbs
Size: 9.80h x 7.00w x 0.70d
ISBN: 9781108497824

Review Citation(s):
Choice 07/01/2021

About the Author
Incurvati, Luca: - Luca Incurvati is Assistant Professor of Philosophy at the Universiteit van Amsterdam.