A mafhūm is a mentally understood meaning. It may be particular or universal.
A particular is a concept whose very meaning excludes predication of many, such as the identity of one designated Zayd.
A universal is one whose meaning does not exclude such predication, such as human or horse.
External instances of universals may be impossible, merely possible, singular or numerous. Universality is not determined by a present census. The commentary's objection further distinguishes ambiguous alternative identifications from true shared predication.
The following section compares two universal concepts through equality, inclusion and disjointness. That is the subject of Level 007.