Direct and indirect methods of proof. The Lehmus-Steiner theorem
Vesselka Mihova, Julia Ninova
TL;DR
This paper discusses various proof methods for mathematical statements, focusing on direct and indirect proofs of Lehmus-Steiner's Theorem, and illustrates these methods with logical models.
Contribution
It provides a detailed comparison of proof techniques and introduces new direct proofs for Lehmus-Steiner's Theorem, enhancing understanding of proof strategies.
Findings
Different proof methods are analyzed and compared.
Logical models clarify indirect proof techniques.
New direct proofs of Lehmus-Steiner's Theorem are proposed.
Abstract
In the paper different kinds of proof of a given statement are discussed. Detailed descriptions of direct and indirect methods of proof are given. Logical models illustrate the essence of specific types of indirect proofs. Direct proofs of Lehmus-Steiner's Theorem are proposed.
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Taxonomy
TopicsLogic, programming, and type systems · History and Theory of Mathematics