Structural Limits Across Domains: Kant, Gödel, Wittgenstein, Turing, and the WTS Constraint Cascade

Throughout the history of philosophy and theoretical science, structural limits have repeatedly appeared in different domains. Kant identified contradictions that arise when reason attempts to determine the structure of the world as a totality. Gödel demonstrated intrinsic limits within formal systems. Wittgenstein examined the boundaries of meaningful language, and Turing established fundamental limits of computation. Although these results are typically studied within separate disciplines, they share a striking feature: each reveals a boundary generated by the internal structure of a system rather than by empirical constraints. This paper argues that such limits are not isolated discoveries but manifestations of a recurring structural pattern across domains. Drawing on the framework of the Wangius Thought System (WTS) ¹ ，the paper introduces the concept of a Structural Constraint Cascade, according to which structural constraints propagate across levels of theoretical organization—from existence and description to questions and system objectives. Under this perspective, classical limit results may be interpreted as local expressions of a broader structural relationship governing the boundaries of theoretical inquiry. Within WTS, this cascade is articulated through four structural constraints: the Self-Grounding of Existence-as-Totality, the Axiom of Non-Externalizability, the Three Prohibitions (Ω-Law), and the Structural Instability Theorem. Together, these constraints describe a cascade linking structural limits across multiple domains of theoretical inquiry.