The Ultrapower Axiom
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.

1140547685
The Ultrapower Axiom
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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The Ultrapower Axiom

The Ultrapower Axiom

by Gabriel Goldberg
The Ultrapower Axiom

The Ultrapower Axiom

by Gabriel Goldberg

Hardcover

$270.00 
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Overview

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.


Product Details

ISBN-13: 9783110719697
Publisher: De Gruyter
Publication date: 04/18/2022
Series: De Gruyter Series in Logic and Its Applications , #10
Pages: 336
Product dimensions: 6.69(w) x 9.45(h) x 0.00(d)
Age Range: 18 Years

About the Author

Gabriel Goldberg, UC Berkeley, Berkeley, USA.
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