Conceptions of Set and the Foundations of Mathematics

This book presents a detailed and critical examination of the conceptions of set on offer and defends a novel version of the so-called iterative conception. It will be of interest to researchers and advanced students in logic and the philosophy of mathematics.

List 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.

About the author

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

Summary

This book presents a detailed and critical examination of the conceptions of set on offer and defends a novel version of the so-called iterative conception. It will be of interest to researchers and advanced students in logic and the philosophy of mathematics.

Product details

• Authors: Luca Incurvati, Luca (Universiteit Van Amsterdam) Incurvati
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.12.2021
• EAN: 9781108708791
• ISBN: 978-1-108-70879-1
• No. of pages: 254
• Subjects: Humanities, art, music > Philosophy > General, dictionaries; Natural sciences, medicine, IT, technology > Natural sciences (general); SCIENCE / Philosophy & Social Aspects, Philosophy of Science, Philosophy of Mathematics, Philosophy: logic