Analysis the Nature of Logic: The Distinctions Between Logic and Mathematics

Abstract

The paper aims to explore the distinctions between logic and mathematics. Logic and mathematics have always been important branches of human knowledge, closely related in many ways and with far-reaching consequences in areas such as science, technology and philosophy. Although logic and mathematics have much in common in terms of necessity, universality, a priori and a high degree of abstraction, leading to the belief that the two fields of study are identical, they are essentially two very different disciplines. While they do appear very similar owing to their universal necessity and independence from temporal and spatial constraints, logic and mathematics are, in essence, two very distinct disciplines. They can be strictly differentiated based on their focus and epistemological perspectives. This paper will first explain the fundamental concepts of mathematics and logic, then delve into the two main differences between logic and mathematics, and finally, point out the limitations in the study of mathematics and logic.