Page "Mathematician" Paragraph 16

Category theory, another field within " foundational mathematics ", is rooted on the abstract axiomatization of the definition of a " class of mathematical structures ", referred to as a " category ".

A category intuitively consists of a collection of objects, and defined relationships between them.

While these objects may be anything ( such as " tables " or " chairs "), mathematicians are usually interested in particular, more abstract, classes of such objects.

In any case, it is the relationships between these objects, and not the actual objects that are predominantly studied.