The Art of Proof

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 2 in Gödel's Theorems and Zermelo's Axioms, 2020, pp 19-34 from Springer

Abstract: Abstract In Example 1.2 we gave a proof of 1 + 1 = 2 in 17 (!) proof steps. At that point you may have asked yourself: If it takes that much effort to prove such a simple statement, how can one ever prove any non-trivial mathematical result using formal proofs? This objection is of course justified; however, we will show in this chapter how one can simplify formal proofs using some methods of proof such as proofs by cases or by contradiction.

Date: 2020
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DOI: 10.1007/978-3-030-52279-7_2

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