Integration Logics: A Review, Extension, and Critique

Compelling as mathematical representations may seem to some interested in the “automaticity” of integration processes, to other empirical theorists they seem anything but obviously relevant. Yet there is a clear trend toward greater use of formal reasoning in both measurement and modeling work on integration processes. Juxtaposing a variety of such integration logics—the mathematical formulae and conceptual abstractions incorporated in assessments of integration progress and regress—should help achieve the major purpose of this article: to introduce students to a variety of possible integration logics, some of their possible interrelationships, and the limitations of some of the simpler ones vis-à-vis current verbal theories of the integration process.