Models of Set Theory

Lorenz Halbeisen and Regula Krapf
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Lorenz Halbeisen: ETH Zurich, Department of Mathematics
Regula Krapf: Universität Bonn, Mathematics Institute

Chapter Chapter 14 in Gödel's Theorems and Zermelo's Axioms, 2025, pp 195-210 from Springer

Abstract: Abstract Zermelo writes in [61, 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: 2025
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DOI: 10.1007/978-3-031-85106-3_15

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