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Conceptions of Set and the Foundations of Mathematics
Hardback
Main Details
| Title |
Conceptions of Set and the Foundations of Mathematics
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| Authors and Contributors |
By (author) Luca Incurvati
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| Physical Properties |
| Format:Hardback | | Pages:252 | | Dimensions(mm): Height 254,Width 179 |
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| Category/Genre | Philosophy - logic
Philosophy of science |
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| ISBN/Barcode |
9781108497824
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| Classifications | Dewey:511.322 |
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| Audience | | Professional & Vocational | |
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| Illustrations |
Worked examples or Exercises; 4 Tables, black and white; 11 Line drawings, black and white
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Publishing Details |
| Publisher |
Cambridge University Press
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| Imprint |
Cambridge University Press
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| Publication Date |
23 January 2020 |
| Publication Country |
United Kingdom
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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, 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.
Author Biography
Luca Incurvati is Assistant Professor of Philosophy at the Universiteit van Amsterdam.
Reviews'Incurvati provides a veritable handbook for researchers and practitioners in the domain of logic and the foundations of mathematics ... Each chapter raises significant foundational questions, fertile ground for further research.' R. L. Pour, Choice
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