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.
Rezensionen / Stimmen
'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
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Illustrationen
Worked examples or Exercises; 4 Tables, black and white; 11 Line drawings, black and white
Maße
Höhe: 249 mm
Breite: 178 mm
Dicke: 18 mm
Gewicht
ISBN-13
978-1-108-49782-4 (9781108497824)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Luca Incurvati is Assistant Professor of Philosophy at the Universiteit van Amsterdam.
Autor*in
Universiteit van Amsterdam
1. Concepts and conceptions; 2. The iterative conception; 3. Challenges to the iterative conception; 4. The naive conception; 5. The limitation of size conception; 6. The stratified conception; 7. The graph conception.
