Structure, Intelligibility, Inquiry: A Unified Metaphysical Basis for Science

The success of science is not accidental but follows necessarily from the nature of actuality itself. Building on the preceding papers in the ARM series, which established agápēic relational actuality as the minimal metaphysical primitive capable of sustaining non-coercive distinction and determinate relationality, this paper derives the fundamental conditions that make science possible: structure, intelligibility, inquiry, and lawfulness. The argument type is A (Derivation-in-Application): it takes the agápēic ground established in the foundational papers as already given and shows that the conditions of scientific practice follow from it as consequences, rendered intelligible without residue. This is Route 3 of the series' convergence argument, evidentially distinct from the routes that arrive at the ground independently. The force of the argument lies in comparative adequacy and the elimination of explanatory residues, not in transcendental compulsion. ARM renders the four conditions of science intelligible as structural entailments; competing frameworks — materialist, process, and idealist — treat them as contingent, emergent, or brute.