Countable Models of Peano Arithmetic

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

Chapter Chapter 7 in Gödel's Theorems and Zermelo's Axioms, 2025, pp 83-89 from Springer

Abstract: Abstract By Gödel’s Completeness Theorem 5.5 we know that every consistent theory T has a model. Later we will see that if T has an infinite model, then it also has arbitrarily large models.

Date: 2025
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DOI: 10.1007/978-3-031-85106-3_8

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