"The object of pure physics is the unfolding of the laws of the intelligible world; the object of pure mathematics that of unfolding the laws of human intelligence"

This quote by James Joseph Sylvester describes the distinctions between the fields of pure physics as well as pure maths. According to Sylvester, the objective of pure physics is to discover and also comprehend the legislations regulating the unmistakable globe, which refers to the natural world that we can regard with our detects. On the various other hand, the goal of pure mathematics is to unfold the laws of human intelligence, which refers to the rational and reasonable structures that we utilize to comprehend ideas and solve problems. Essentially, while pure physics looks for to understand the regulations of the real world, pure math is concerned with discovering the regulations of thought and also thinking.