  We see from the above that the existence of conceptual objects depends on which properties are accepted. If we assume with Mally that we have a full Boolean Algebra of properties then the only question left to be answered, is: what are the primitive properties? We can only make a suggestion inspired by the theory of intentionality here: the primitive properties are all the non-complex properties that can be posited by the subject(s). (For other English translations of crucial passages of Mally’s work on his theory of objects, as well as a summary of Mally’s theory of conceptual objects, see Zalta 1998.)