Description

Book Synopsis

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

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    Order before 4pm tomorrow for delivery by Wed 17 Jun 2026.

    A Hardback by Gabriel Goldberg

    15 in stock


      View other formats and editions of The Ultrapower Axiom by Gabriel Goldberg

      Publisher: De Gruyter
      Publication Date: 18/04/2022
      ISBN13: 9783110719697, 978-3110719697
      ISBN10:

      Description

      Book Synopsis

      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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