Dimensional Transition Logic

An earlier draft of dimensional logic introduced four epistemic dimensions into the formal syntax and postulated transition operators between them, but left these operators substantively undetermined. They had names and a notation, yet no specification of what they compute. The present article closes this gap for the central transition. It determines the step from the systematic to the reflexive level as quotient formation under a chosen equivalence relation and derives, for weaker relations, a degree of coherence that measures the formal rigor of the abstraction and is calculated rather than stipulated. This degree of coherence must be distinguished from the object related adequacy of an aspect. The transition to the highest level proves to be of a different kind. It is not a further abstraction, but the relinquishment of a privileged aspect. What follows is not an additional degree of truth, but a perspectival validity profile over the space of admissible aspects. Dimensional logic thereby acquires, for the first time, determinate transitions whose formal properties can be checked, together with a criterion that distinguishes the reflexive level from the relativizing one.