Averroes held the controversial thesis that there is only one separate material or possible intellect for all humans. This paper analyzes a passage from his Long Commentary on the De Anima which has been thought to constitute a primary philosophical argument for the view. It is called the Determinate Particular Argument, because it contends that the material intellect cannot be a determinate particular if it is to be the ontological receptacle of universal intelligible forms. After defending one crucial premise, it (...) will be shown how the key term “determinate particular” must be qualified to avoid an inconsistency with Averroes’s metaphysics and his position on the species membership of separate substances. Given this qualification in the face of competing views, the paper concludes that the Determinate Particular Argument should not be taken as a sufficient and independent argument for Averroes’s full thesis on the intellect. (shrink)