must think of how to use the least possible effort and thought to process the largest number of things possible. It goes without saying that mathematics attempts to do this, as do other sciences, and it is natural for people to think in this manner. If one is caught up in examining various individual things separately, then it is necessary to focus on an extremely large number of matters and expend a great deal of energy. By refining methods, substance and ways of thinking further, a person can increase his or her power so that he or she can work over a wider range. In other words, searching for more refined and beautiful things thought. Seeking economy of thought and what is beautiful can also be seen as referring to the same things in different ways. By seeking what seems better and more beautiful, one can bring together many things and consider and process them collectively, thereby conserving thought and effort. This is achieved by summarizing many different propositions to form a concept, by summarizing separate methods to become general rules, forming basic conceptual principles, and creating systems. This is what mathematics and other sciences do.