Taming The Infinite/ Chapter 14/ Algebra comes of age.
It is evident how in the universe there remains a tremendous amount of mysteries, especially considering that there is the possibility of it being infinite, then logically there are endless mysteries. Should we forget the validity of Euclidean geometry? Certainly not, its validity is undeniable, inevitable, irrefutable, not only in that it explains perfectly the relations between two-dimensional shapes, but in that also it provides a keenness of thought. If Euclidean geometry were all there is, in the universe and our very minds, then we would be complete; evidently that was not the case, and therefore came other kinds of geometry. What other kinds of algebra could there be? Andre Wiles and his major discovery, or invention, is discussed in this chapter. He had to work on top of topological theories about things whose relevance was first not apparent at all. These thing are considered "beautiful", when things come together harmoniously into an equation, THAT is the beauty of mathematics. There is however, still a large obscurity within mathematics that has no answers whatsoever.