Conceptions of Set and the Foundations of Mathematics

Luca Incurvati (Universiteit van Amsterdam)

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English

Cambridge University Press
15 July 2021

Philosophy: logic; Philosophy of mathematics; Philosophy of science

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.

By: Luca Incurvati (Universiteit van Amsterdam)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 244mm, Width: 170mm, Spine: 14mm
Weight: 414g
ISBN: 9781108708791
ISBN 10: 110870879X
Pages: 254
Publication Date: 15 July 2021
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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

Reviews for Conceptions of Set and the Foundations of Mathematics

'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