Luca

Conceptions of Set and the - Foundations of Mathematics

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ISBN 13:: 9781108708791
author:: Luca
format:: Paperback
publisher:: Cambridge University Press
language:: English
Publication Year:: 2021
Pages:: 254
Dimensions:: 24.4 x 17 x 1.4 centimetres (0.4
Genre:: Professional & Vocational, Science, Mathematics,
Condition:: New
Availability:: Item usually sent within 10 working days

£34.51

Current Stock: 5

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Description

Description

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. He introduces the fundamentals of alternative set theories associated with these conceptions, covering both naïve and iterative approaches as well as others such as size conception, definite conception, stratified conception, and graph conception. A key aspect of Incurvati's work is his novel account of the iterative conception, which challenges traditional assumptions about metaphysical dependence. This book will be of interest to researchers and advanced students in logic and the philosophy of mathematics, offering a nuanced exploration of the foundations of mathematics. By examining the various conceptions of set, Incurvati sheds light on the conceptual landscape of mathematics, revealing the complexities and nuances that underlie this fundamental area of study.

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