This article builds upon a formal person-situation framework by offering formalisms for its subcomponents, as well as for reality more generally. More specifically, a system of mathematical formalisms is offered relating the following constructs: holarchy, reality, and psychological reality. Psychological reality is offered a portmanteau in the neologism, "psychologicality". Psychologicality denotes mind and behavior, both of which are subcomponents of Sood's [20] person-situation formula. The mathematics offered is woven into a broader, subjective-objective ontology that is required for any truly representative virtual world. The result from above, when synthesized with informatics, is a novel "holarchic informatics" and more specific holarchic psychoinformatics (HPI). Holarchic psychoinformatics is related with Sood's psychoinformatic complexity (PIC) paradigm. The aim of this article is to build upon "third force"-i.e., existential-humanistic (E-H)-psychology. We depart from more traditional approaches in defining E-H psychology as the study of the existence of human minds and behaviors as emergent, interdependent properties of people's interactions with situations. This definition results from the enactive person-situation framework as situated within PIC.

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