- 256 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Conceptions of Set and the Foundations of Mathematics
About this book
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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Information
Topic
PhilosophySubtopic
Philosophy & Ethics in ScienceTable of contents
- Cover
- Half-title
- Title page
- Copyright information
- Contents
- List of Figures
- List of Tables
- Preface
- 1 Concepts and Conceptions
- 2 The Iterative Conception
- 3 Challenges to the Iterative Conception
- 4 The Naïve Conception
- 5 The Limitation of Size Conception
- 6 The Stratified Conception
- 7 The Graph Conception
- 8 Concluding Remarks
- Bibliography
- Index
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Yes, you can access Conceptions of Set and the Foundations of Mathematics by Luca Incurvati in PDF and/or ePUB format, as well as other popular books in Philosophy & Philosophy & Ethics in Science. We have over 1.5 million books available in our catalogue for you to explore.