The Core Logic of Relational Existentialism: An Axiomatic Clarification

This document offers a formal and minimalistic exposition of Relational Existentialism by articulating its three foundational axioms in their purest logical form. Stripping away all examples and rhetorical elaborations, it presents the ontological core required to make the theory intelligible and distinct from existing paradigms in existential and ethical thought. The first axiom—the Non-Connection Axiom—states that no subject can ever directly access the internal reality of another. The second—the Axiom of Overlap—defines the Relational Existence (B@A) as the seam formed by the overlap between B’s externalized outputs and A’s interpretive code. The third—the Axiom of Existential Autonomy—asserts that B@A becomes an independent third entity once it is formed, severed from B’s intentions or internal truth. Together, these axioms construct a radically new ontological and ethical framework in which subjects are structurally isolated, and responsibility is directed not toward the inaccessible “true other,” but toward the relational entities that emerge in between. This axiomatics thus establishes the structural basis for the Ethic of Sisyphus—an ethic rooted not in empathy, but in integrity and obligation within a non-connected reality.