Quantity in Aristotle - Its role in physics, mathematics and metaphysics

The article first presents a few epistemological considerations and recalls that, for Aristotle, the principle of knowledge of the quantity is common meaning which regroups and unifies the data of the meanings relative to each one of the objects. The study goes on to analyse the different modes of quantity: discreet and concrete and shows that, in physics, it is especially the concrete quantity which plays a role in material being, it being at the origin of the determinations of the kinds of qualities: 1) states-dispositions and aptitudes-inaptitudes; 2) sensible qualities; 3) form-figure. The article raises the difficulties of going from physics to mathematics and looks into the nature of the quantity used in geometry. Finally, it proposes a reflection on the being of quantity as accident proposed in the Categories and on the other hand that of the matter made up of the substance of the hylemorphic theory. Is the scope at the end of the abstraction of dimensions other than matter?