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Conceptions of Set and the Foundations of Mathematics - Hardcover

 
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  • PublisherCambridge University Press
  • Publication date2020
  • ISBN 10 1108497829
  • ISBN 13 9781108497824
  • BindingHardcover
  • LanguageEnglish
  • Number of pages252

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Incurvati, Luca
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ISBN 10: 1108497829 ISBN 13: 9781108497824
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Incurvati, Luca
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Incurvati, Luca
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Incurvati, Luca
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Luca Incurvati
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Hardcover. Condition: new. 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. This book presents a detailed and critical examination of the conceptions of set on offer and defends a novel version of the so-called iterative conception. It will be of interest to researchers and advanced students in logic and the philosophy of mathematics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781108497824

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Incurvati, Luca
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Luca Incurvati
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Hardcover. Condition: new. 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. This book presents a detailed and critical examination of the conceptions of set on offer and defends a novel version of the so-called iterative conception. It will be of interest to researchers and advanced students in logic and the philosophy of mathematics. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781108497824

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Incurvati, Luca
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