Abstract

This paper explores the issue of the operational feasibility of definitions and concepts within the world, arguing that valid definitions do not arise ex nihilo but constitute formal entities grounded in self-consistent derivations. By analyzing the formal autonomy of mathematics as a purely symbolic system, it distinguishes between "formal feasibility" and "world-explanatory power," thereby demonstrating that logical consistency does not necessarily lead to authentic interpretations of reality. Using pseudoscience and pseudo-philosophy as examples, the paper reveals that conceptual systems lacking empirical constraints and falsifiability may function internally yet struggle to achieve stable worldly validity. Finally, it proposes a perspective of possibility: the universe may not be grounded solely in matter but rather resemble a space of possibility where definitions and derivations hold, thus conceiving "existence" as an ongoing process of operation.