  In Plato's Academy, some philosophers suggested that lines are composed of indivisible magnitude, whether a finite number (a line of indivisible lines) or a infinite number (a line of infinite points). Aristotle builds a theory of continuity and infinite divisibility of geometrical objects. Aristotle denies both conceptions. Yet, he needs to give an account of continuous magnitudes that is also free from paradoxes that these theories attempted to avoid. The elements of his account may be found principally in Physics iv.1-5 and v.1 and vi. Aristotle's account pertains to perceptible magnitudes. However, it is clear that he understands this to apply to magnitudes in mathematics as well. 