Conceptions of Set and the Foundations of Mathematics - Couverture rigide

Incurvati, Luca

 
9781108497824: Conceptions of Set and the Foundations of Mathematics

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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À propos de l?auteur

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

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Autres éditions populaires du même titre

9781108708791: Conceptions of Set and the Foundations of Mathematics

Edition présentée

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