ole numbers and fractions. Cantor applied his theories to Geometry as well, thus demonstrating that there are the same infinite amounts of points in every space, despite dimensions. He also showed how points on a line can be paired with points on a plane, which can be paired with points in a volume, and so on. Based on the accumulated theories, mathematics is defined as a science that has been evaluated, modified, and added to since the beginning of time. It includes all types of numbers and objects that are, in turn, applied to other concepts in the “physical world.” To conclude, it is important to study mathematics in order to understand concepts and things in our lives, and obtain an overall greater understanding. Cantor’s theories are particularly important for, as the author stated, they take us beyond “ordinary infinity”. ...
