Conceptions of Set and the Foundations of Mathematics

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Conceptions of Set and the Foundations of Mathematics
pdf | 1.69 MB | English | Author :Luca Incurvati | B082Q1C8MF | 2020

Book Description :

[spoiler]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 sho 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.[/spoiler]

Category : | Science History & Philosophy, Mathematical Set Theory

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