The Ultrapower Axiom
Gabriel Goldberg
Apr 2022 · De Gruyter Series in Logic and Its Applications Kitabu cha 10 · Walter de Gruyter GmbH & Co KG
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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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Gabriel Goldberg, UC Berkeley, Berkeley, USA.
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