Cambridge University Press (2020)
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| Abstract |
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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| Keywords | Concept of set Conceptions of set Foundations of mathematics Set theory |
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| Buy this book | $32.99 new $37.24 used Amazon page |
| ISBN(s) | 9781108497824 110870879X 1108497829 |
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Citations of this work BETA
Against Cumulative Type Theory.Tim Button & Robert Trueman - forthcoming - Review of Symbolic Logic:1-43.
Bolzano’s Mathematical Infinite.Anna Bellomo & Guillaume Massas - forthcoming - Review of Symbolic Logic:1-80.
In defense of Countabilism.David Builes & Jessica M. Wilson - 2022 - Philosophical Studies 179 (7):2199-2236.
View all 12 citations / Add more citations
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