Grigor Sargsyan, Nam Trang

The Largest Suslin Axiom

• Gebundenes Buch

Produktbeschreibung

The book develops the technical machinery to study the minimal model of the Largest Suslin Axiom, and it is a contribution to the Gödel's Program, a central program in the philosophy of mathematics. It will be indispensable for graduate students and researchers in mathematics and philosophy of mathematics.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 403
• Erscheinungstermin: 27. Juni 2024
• Englisch
• ISBN-13: 9781009520713
• ISBN-10: 1009520717
• Artikelnr.: 70943814

Autorenporträt

Grigor Sargsyan is Professor at the Institute of Mathematics of the Polish Academy of Sciences. He holds a Ph.D. in mathematics from the University of California, Berkeley. His thesis, which is the precursor of the work presented in this book, received Association of Symbolic Logic's Sacks Prize. He later received the National Science Foundation's Career Award, which was awarded to complete the work carried out in this book.

Inhaltsangabe

1. Introduction
2. Hybrid J-structures
3. Short tree strategy mice
4. A comparison theory of HOD mice
5. HOD mice revisited
6. The internal theory of LSA HOD mice
7. Analysis of HOD
8. Models of LSA as derived models
9. Condensing sets
10. Applications
11. A proof of square in LSA-small HOD mice
12. LSA from PFA
References
Index.