Arithmetic in Peano Arithmetic

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 8 in Gödel's Theorems and Zermelo's Axioms, 2020, pp 79-88 from Springer

Abstract: Abstract In this chapter, we take a closer look at Peano Arithmetic (PA) which we have defined in Chapter 1. In particular, we prove within PA some basic arithmetical results, starting with the commutativity and associativity of addition and multiplication, culminating in some results about coprimality.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-52279-7_8

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DOI: 10.1007/978-3-030-52279-7_8

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