Husserlian phenomenology develops around Husserl’s theory of the complex structure of intentionality, featuring key notions of noesis, noema, horizon, and the constitution of objects of consciousness. By virtue of the structures of noema and horizon found in our experience, things in the world around us are said to be “constituted” in consciousness (along with self and other). The present essay explores intentionality and constitution as modeled in lines of interpretation that extend classical Husserlian phenomenology. The resulting “semantic” approach to intentionality draws on the ontology of consciousness, meaning, and horizon, unfolding a “constitutive” realism whereby our consciousness takes its place in the world beyond our consciousness, yet we experience things in the world around us by virtue of noema and horizon. The “logical” and the “transcendental” aspects of phenomenal intentionality appear in due course, within a formal model of intentionality, a model taking shape within a meta-phenomenological and meta-metaphysical framework.