The emergence of logic in mathematics and its influence on learners' cognition and way of thinking

This article sheds light on the single phrase, logical thinking, which came to be understood in so many diverse ways. To assist explain the many distinct meanings, how they arose, and how they are connected, we trace the emergence and evolution of logical thinking in mathematics. This article is also, to some extent, a description of a movement that arose outside of philosophy's mainstream, and whose beginnings lay in a desire to make logic practical and an essential part of learners' lives.