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The Ultrapower Axiom
Hardcover
Series: de Gruyter Logic and Its Applications, Book 10
ISBN13: 9783110719697
Publisher: de Gruyter
Published: Apr 18 2022
Pages: 336
Weight: 1.62
Height: 0.75 Width: 6.69 Depth: 9.61
Language: English
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.
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