Circle and Point

Insofar as a circle is defined in terms of a center, as is traditionally the case, the concept of Circle presupposes that of Point. However, as Whitehead has shown, Point can be defined in terms of the 'regions' that include it. Thus, Center can likewise be defined as a set of progressively included circles. Now, the distinction that Whitehead is able to draw between Region and Point depends on the latter being conceived as a limiting case, i. e. as an entity which includes no regions. So, without that condition, Point is only a special case of Region. Similarly, therefore, Center is nothing but a relatively smaller Circle, i. e. Point is a species of Circle.