Mathematical induction: deductive logic perspective

Abstract

Many studies mentioned the deductive nature of Mathematical Induction (MI) proofs but almost all fell short in explaining its potential role in the formation of the misconceptions reported in the literature. This paper is the first of its kind looking at the misconceptions from the perspective of the abstract of the deductive logic from one's conceptual scheme of Mathematical Induction proofs. In light of this framework, we give a detailed description of the Tower of Hanoi game as a model that can be used to emphasize the Deductive Reasoning in MI proofs.