The Second Incompleteness Theorem

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 11 in Gödel's Theorems and Zermelo's Axioms, 2020, pp 123-136 from Springer

Abstract: Abstract It follows from Gödel's Completeness Theorem that a theory is consistent if and only if it has a model. In particular, the consistency of Peano Arithmetic follows from $$\mathbb{N} \models \mathbf{PA}$$ .

Date: 2020
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DOI: 10.1007/978-3-030-52279-7_11

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