Conceptions of Set and the Foundations of Mathematics

Author:   Luca Incurvati (Universiteit van Amsterdam)
Publisher:   Cambridge University Press
ISBN:  

9781108497824


Pages:   252
Publication Date:   23 January 2020
Format:   Hardback
Availability:   Available To Order   Availability explained
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Conceptions of Set and the Foundations of Mathematics


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Overview

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.

Full Product Details

Author:   Luca Incurvati (Universiteit van Amsterdam)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Dimensions:   Width: 17.90cm , Height: 1.90cm , Length: 25.40cm
Weight:   0.590kg
ISBN:  

9781108497824


ISBN 10:   1108497829
Pages:   252
Publication Date:   23 January 2020
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

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.

Reviews

'An indispensable reference work for anyone interested in the philosophy of set theory ... one of the book's virtues is that, for all the information it provides, it shows also how open-ended investigation of the different conceptions remains: almost every paragraph raises further issues for future exploration, and it is bound to generate discussion for years to come.' John Burgess, Philosophia Mathematica


Author Information

Luca Incurvati is Assistant Professor of Philosophy at the Universiteit van Amsterdam.

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