Abstract
This paper differentiates between science’s intentional theoretical objects and purely idealized theoretical objects. One identifies the former by inquiring into thefunctions they fulfill in a dynamic system (say, the system of chemical reactions in a metabolic pathway), whereas the latter get introduced by means of mathematical idealizations. Regardless of the epistemological differences, the existence of both types of theoretical objects is projected upon possibilities that are to be appropriated in a research process. The paper addresses the potentiality-for-being of the intentional theoretical objects. Though the functions which such an object fulfills are throughout experimentally recognizable, its being never becomes transformed into an actually accomplished presence.