Genealogies of organizational closure: from logical paradox to mind in life.

Organizational closure occupies a central position in contemporary theories of autonomy, anticipation, agency, sense making, and the continuity between life and mind. Its investigation has given rise to a diverse landscape of related explanations, including closure to information, cyclic closure, operational closure, semantic closure, closure-to-efficient causation, metabolic closure, and closure of constraints. Although each of these explanatory approaches captures important aspects of organizational closure, their proliferation has often generated conceptual ambiguity. As a result, organizational closure is frequently conflated with feedback loops, recursive algorithms, self-organization, or biochemical cycles. This paper develops a genealogical conceptual analysis of the research programs from which these various accounts emerged, tracing their origins across mathematical logic, first- and second-order cybernetics, general systems theory, thermodynamics, metabolic theory, relational biology, and the biology of cognition. In doing so, it provides a principled framework for assessing the commitments involved whenever a notion of closure is invoked, while clarifying the origins of these explanations and the relations among them. Particular attention is devoted to the roles of self-reference, circular causality, replication maps, semantics, free energy, automata, operations, and constraints in shaping the current understanding of organizational closure. On this basis, the study advances the interpretative thesis that organizational closure is most coherently understood as a circular organization of efficient causes through which living beings continuously produce and maintain the conditions of their own existence. From this perspective, organizational closure appears irreducible to purely algorithmic descriptions inherited from the Church-Turing thesis-not because living beings cannot be simulated in specific respects, but because the causal production of the conditions of their own realization cannot be exhaustively characterized as a state-determined syntactic procedure. This interpretation helps clarify the distinctions between organizational closure and the notions with which it is often conflated, while providing a framework for assessing current debates concerning artificial intelligence, large language models (LLMs), semantic meaning, and sense making in the face of ambiguity and logical paradox.