Anatolius of Alexandria

“ Those of the Peripatetic school affirmed that in rhetoric and poetry, and in the popular music, any one may be an adept though he has gone through no process of study; but that in those pursuits properly called studies, [3] none can have any real knowledge unless he has first become a student of them. Hence they supposed that the theory of these things was called Mathematics, from μάθημα, study, science. And the followers of Pythagoras are said to have given this more distinctive name of mathematics to geometry, and arithmetic alone. ”

“ What is mathematics?
Aristotle thinks that all philosophy consisted of theory and practice, [2] and divides the practical into ethical and political, and the theoretic again into the theological, the physical, and the mathematical. And thus very clearly and skilfully he shows that mathematics is (a branch of) philosophy.
The Chaldæans were the originators of astronomy, and the Egyptians of geometry and arithmetic.... ”

“ According to a second meaning, we have the investigation of matters in the special in rhetoric; and in this sense the Sophists say that a hypothesis must be proposed. And, according to a third signification, the beginning of a proof is called a hypothesis, as being the begging of certain matters with a view to the establishment of another in question. ”