The Illusion of the Positive: For an Inherently Comparative Logic

Abstract Traditional linguistics, philosophy, formal semantics, and computational logic treat the positive form as an absolute foundation and build comparisons upon it. This paper demonstrates that this hierarchy turns epistemic reality upside down: the positive is a pragmatically frozen comparative. By treating the noun itself as a comparative sorting algorithm operating on power sets, we introduce an inherently comparative framework. By means of comparative truth tables we show the cross-disciplinary utility of this unified logic by applying it to major paradoxes and systemic failures: the resolution of the Sorites and Zeno's paradoxes, Russell's catalogue paradox, his riddle about the king of France and his description of “becoming”, the architectural fix for SQL's trivalent NULL anomalies in relational databases, the topological reinterpretation of quantum superposition (Schrödinger's Cat), the formalization of contrastive machine learning gradients (video actions, gastronomic Scoville scales, and interlingual translation gaps) and finally a treatment of Counterfactual Conditionals by means of a comparatively interpreted Failure-Operator. The paper ends with a few summary remarks on the support by AI I received in writing and the advantage the use of AI may mean for certain categories of authors