In modern mathematics, there is an area called Category theory which studies the relationships between different areas of mathematics. More precisely, the founders of category theory noticed that esse...In modern mathematics, there is an area called Category theory which studies the relationships between different areas of mathematics. More precisely, the founders of category theory noticed that essentially the same theorems and proofs could be found in many different mathematical fields. In this sort of situation, one can make what is known as a categorical argument in which one proves the desired result in the abstract, without reference to the details of any particular field.
