An algebraic perspective on implicit and explicit knowledge

What is it about?

This article looks at the process of comprehension from a mathematical perspective. Using a mathematical model, the article explains how the two types of knowledge (implicit and explicit) are acquired by comprehenders. The authors have tried to avoid using complex mathematical terms in order to make it more understandable for those who are not professionally familiar with algebraic concepts. Mathematics is an inseparable part of our life and our understanding of the world. We cannot deeply understand our world without having some degree of mathematical knowledge. The authors believe that even the apparently-non-mathematical concepts can best be described by mathematical models.

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Why is it important?

Using mathematical models to describe concepts and processes is a powerful tool that can help us to make our understanding deeper. This article looks at the process of comprehension from a mathematical perspective. Although the content of the article is highly interdisciplinary, it has been tried to explain the mathematical concepts in a simple language.