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.
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.
The Ultrapower Axiom
336
The Ultrapower Axiom
336Related collections and offers
Product Details
| ISBN-13: | 9783110719796 |
|---|---|
| Publisher: | De Gruyter |
| Publication date: | 04/04/2022 |
| Series: | De Gruyter Series in Logic and Its Applications , #10 |
| Sold by: | Barnes & Noble |
| Format: | eBook |
| Pages: | 336 |
| File size: | 48 MB |
| Note: | This product may take a few minutes to download. |
| Age Range: | 18 Years |