Mathematics

Mathematics is an area of knowledge that includes numbers, formulas, shapes, and spaces

The major subdisciplines of modern mathematics are number theory, algebra, geometry, and calculus

There is a general consensus among mathematicians about a common definition for their academic discipline

Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them

A proof in mathematics consists of a succession of applications of inductive rules to already established results

History is the systematic study and documentation of the human past.

The period of events before the invention of writing systems is considered history.

Historians only seek knowledge of the past using written documents.

History is an academic discipline that uses a narrative to describe past events.

History is complete and has no debatable mysteries.