In our paper, we redefine the category of “family” denoting the relationship of selected members of a post-noble/post-aristocratic milieu in Poland using Alain Badiou’s terminology. Badiou’s ontology based on a mathematical set theory and a generic theory is the most developed, complex, and revolutionary ontology of the 20th and 21st centuries. However, it is rarely adapted to new empirical studies probably because of its novelty and complexity. We do not intend to use the empirical case study made by Smoczynski–Zarycki to inform our argument but instead perform a translation of the Durkheim–Lacanian theoretical standpoint from “Totem…” into the category of “singularity” [