ENGLISH

The Ultrapower Axiom

By Gabriel Goldberg

Book information

Publisher
de Gruyter
Year
2022
ISBN
9783110719734, 9783110719697
DOI
10.1515/9783110719734
Language
english
Format
PDF
Filesize
5 MB (5196224 bytes)
Series
De Gruyter Series in Logic and Its Applications; 10
Pages
336\336
Library
degruyter.com
Time added
2023-07-23 16:38:36

Description

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. Developed and expanded from a prize winning thesis in logic. First treatment of the Ultra Power Axiom clarifying gaps in the understanding of large cardinal hierarchy. Clearly written proofs accessible to all readers.

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