Conceptions of Set and the Foundations of Mathematics - Hardcover

Incurvati, Luca

 
9781108497824: Conceptions of Set and the Foundations of Mathematics
Hardcover
ISBN 10: 1108497829 ISBN 13: 9781108497824
Publisher: Cambridge University Press, 2020

Synopsis

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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About the Author

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

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Publisher
Cambridge University Press
Publication date
2020
Language
English
ISBN 10 
1108497829
ISBN 13 
9781108497824
Binding
Hardcover
Number of pages
252

Other Popular Editions of the Same Title

9781108708791: Conceptions of Set and the Foundations of Mathematics

Featured Edition

ISBN 10:  110870879X ISBN 13:  9781108708791
Publisher: Cambridge University Press, 2021
Softcover