Conceptions of Set and the Foundations of Mathematics (Hardcover)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Release date:	2020
Authors:	Luca Incurvati
Dimensions:	254 x 179 x 19mm (L x W x T)
Format:	Hardcover
Pages:	252
ISBN-13:	978-1-108-49782-4
Categories:	Books > Science & Mathematics > Mathematics > Philosophy of mathematics Books > Science & Mathematics > Science: general issues > Philosophy of science Books > Humanities > Philosophy > Topics in philosophy > Logic Books > Philosophy > Topics in philosophy > Logic
LSN:	1-108-49782-9
Barcode:	9781108497824

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