Compulsive Collecting as Completeness-Seeking Wrong Attractor: The Set-Completion Architecture, Incompleteness-Anxiety Basin, and the Return to Calibrated Curated Appreciation

Compulsive collecting presents as a behavioral pattern in which acquisition is driven not by genuine aesthetic or sentimental engagement with objects but by the anxiety of incompleteness — the persistent, arousing sense that a set is unfinished and therefore intolerable. We apply the displacement framework of The Phronesis Issues to this pattern, characterizing it as a wrong attractor W that captures subjects away from their ground state S 0: calibrated curated appreciation, defined as engagement with objects based on genuine desire for specific items, free from the compulsive pressure of set-completion logic.

The wrong attractor architecture consists of four interlocking mechanisms: the incompleteness-detection trigger, the set-boundary expansion mechanism (completing one set opens awareness of a larger containing set), the completeness-as-identity dynamic, and the set-completion paradox (the collection that can never feel complete). We formalize nine propositions P1–P9 characterizing the incompleteness-anxiety basin, its depth as a function of set-boundary expansion, the displacement cost function D() and accumulated displacement, the return conditions for re-grounding in calibrated appreciation, and the paradox of the asymptotic completeness horizon.

We conclude that return to S 0 is possible but requires appreciation-first re-engagement, deliberate boundary-setting, and systematic re-learning to distinguish genuine object desire from incompleteness-anxiety.