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 naive 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.

Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.

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

Reviews
'Incurvati provides a veritable handbook for researchers and practitioners in the domain of logic and the foundations of mathematics ... Each chapter raises significant foundational questions, fertile ground for further research.' R. L. Pour, Choice



Book Information
ISBN 9781108497824
Author Luca Incurvati
Format Hardback
Page Count 252
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 590g
Dimensions(mm) 254mm * 179mm * 19mm