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Models of Set Theory

Lorenz Halbeisen and Regula Krapf
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Lorenz Halbeisen: ETH Zürich, Departement Mathematik
Regula Krapf: Universität Koblenz-Landau, Institut für Mathematik

Chapter Chapter 14 in Gödel's Theorems and Zermelo's Axioms, 2020, pp 173-187 from Springer

Abstract: Abstract Zermelo writes in [59, p. 262] that he was not able to show that the seven axioms for Set Theory given in that article are consistent. Even though it is essential whether a theory is consistent or not, we know that whenever a theory is strong enough to prove the axioms of PA, then there is no way to prove its consistency within this theory (see Chapter 11).

Date: 2020
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DOI: 10.1007/978-3-030-52279-7_14

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