Chapter II: Natural and Artificial Numbers Summary and Analysis

The Purest Mathematics

Among scientific disciplines, mathematics is considered the Queen of all Sciences and stands alone when compared to other branches of knowledge. However, other sciences, like physics, try to establish a fraternity with the "Queen." Math is certainly used to explain the elements of the physical universe. These mathematical disciplines include "the theory of abstract groups, non-commutable algebra and non-Euclidian geometry" (p. 24)

The purest form of mathematics, one that remains useless to any discipline outside of itself, is the theory of numbers which is one of the oldest and most complex results of pure mathematics. Within the discipline itself, some of its propositions are considered experimental and unproven. On the subject of prime numbers, the discipline took on the question as to whether or not the number of prime...