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Which are the philosophical consequences for one’s theory of objects and relations if one posits that every intentional act is correlated with an intentional object? In what follows, I tackle that question in examining the case of Franciscus de Mayronis (d. c. 1326). After suggesting a typology of theories of intentionality distinguishing monadic, relational, and correlational theories, I go on to expose Franciscus’ ontology and his conception of relations. It turns out that Franciscus’ theory of intentionality exemplifies a pattern (also found in the Brentano of 1874) according to which certain epistemic-psychological constraints (to know or to believe x always amounts to stand in a certain relation to an object distinct from the mental act) have serious consequences on the ontology.