The book is about strong axioms of infi nity in set theory (also known as large cardinal axioms), and the ongoing search for natural models of these axioms. Assuming the Ultrapower Axiom, a combinatorial principle conjectured to hold in all such natural models, we solve various classical problems in set theory (for example, the Generalized Continuum Hypothesis) and uncover a theory of large cardinals that is much clearer than the one that can be developed using only the standard axioms.
- ISBN10 311071969X
- ISBN13 9783110719697
- Publish Date 18 April 2022 (first published 4 April 2022)
- Publish Status Active
- Publish Country DE
- Imprint De Gruyter
- Format Hardcover
- Pages 336
- Language English
- URL https://degruyter.com/isbn/9783110719697