Abstract
According to Crane’s schematicity thesis (ST) about intentional objects,
intentionalia have no particular metaphysical nature qua thought-of entities;
moreover, the real metaphysical nature of intentionalia is various,
insofar as it is settled independently of the fact that intentionalia are
targets of one’s thought. As I will point out, ST has the ontological consequence
that the intentionalia that really belong to the general inventory of
what there is, the overall domain, are those that fall under a good metaphysical
kind, i.e., a kind such that its members figure (for independent
reasons) in such an inventory. Negatively put, if there are no things of a
certain metaphysical kind, thoughts about things of that kind are not really
committed to such things. Pace Crane, however, this does not mean that
the intentionalia that are really there are only those that exist. For
existence, qua first-order property, is no metaphysical kind. Thus, there
may really be intentionalia that do not exist, provided that they belong to
good metaphysical kinds.