The Axioms of Set Theory (ZFC)

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

Chapter Chapter 13 in Gödel's Theorems and Zermelo's Axioms, 2025, pp 171-194 from Springer

Abstract: Abstract In this chapter, we shall present and discuss the axioms of Zermelo-Fraenkel Set Theory including the Axiom of Choice, denoted ZFC. It will turn out that within this axiom system, we can develop all of first-order mathematics, and therefore, the axiom system ZFC serves as a foundation of mathematics.

Date: 2025
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DOI: 10.1007/978-3-031-85106-3_14

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