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The Ground Axiom

The ground axiom is the assertion that the set-theoretic universe is not obtainable by forcing over any inner model. Although this appears at first to be a second-order assertion, it is actually first-order expressible in the language of set theory. This article is the extended abstract for a talk at the 2005 Workshop in Set Theory at the Mathematisches Forschungsinstitut Oberwolfach.

3 nodes2 linksoverview mapThe Ground Axiom
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The Ground Axiom3 visible / 3 total nodes / 2 links
AuthorshipTopic signalWThe Ground Axiompreprint / 2016AJoel David HamkinsResearcherTmath.LO1661 works
PaperSignal 102 links

The Ground Axiom

preprint / 2016

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