Beyond External Relations: A Dialectical-Topological （DLSS’） Solution to Bradley's Regress (Draft: A Preliminary Inquiry into the Generative Structure of the Copula)

F.H. Bradley's relational regress poses a fundamental challenge to the unity of the proposition, demonstrating that any attempt to link independent terms via an external relation precipitates an infinite regress. This paper contends that the persistence of this problem stems from the implicit presuppositions of "Logical Atomism" deeply embedded in traditional formal logic. To resolve this crisis, we propose the Dialectical Logic Symbol System (DLSS), a topological formalism that reconstructs the copula not as a static bridge, but as an internal generative function f() driven by self-negation. In DLSS, the subject and predicate are not pre-existing atoms but "moments" crystallized within the autonomous movement of the copula itself. Crucially, this paper provides an "Ontogenetic Proof" grounded in Heyting Algebra and Topos Theory. By formalizing a modified adjunction F ⊣ I, we mathematically demonstrate "Generative Symmetry Breaking": the generation of a determinate term (f(e) = term) is the inevitable structural residue of the infinite Totality (⊤) collapsing under the Axiom of Finitude. Furthermore, DLSS introduces the Loop mechanism, redefining truth through the Dynamic Identity P + Loop(P) = P. This mechanism not only endows propositions with strict "internal necessity" but also actualizes paraconsistency, allowing the system to tame contradictions (P ∧ ¬P) without triggering the Principle of Explosion. Ultimately, DLSS provides a rigorous, highly computable post-atomistic logical paradigm that bridges the ontological chasm between formal logic and relational reality.