The Denial Gap: The Hard Dilemma of Normativity (HDN) and Metalogical Pressure on Illusionism

The Denial Gap is a research project in philosophy of mind and epistemology that introduces a new metalogical constraint on naturalistic theories of consciousness and cognition. The project develops and defends the Hard Dilemma of Normativity (HDN©), a no-go result concerning the grounding of epistemic notions such as correctness, error, falsity, and misrepresentation within purely immanent (naturalistic, physicalist, or functionalist) frameworks. HDN shows that any attempt to ground normative error using only descriptive resources must collapse into one of three outcomes: reduction to functional properties, stipulation of primitive normativity, or circular presupposition. The central application of this result concerns illusionism about consciousness. Illusionist theories deny phenomenal consciousness by characterizing introspective beliefs as mistaken or illusory. The project argues that this denial itself presupposes normative standards that cannot be coherently grounded within a strictly physicalist framework. This yields what is called the Denial Gap: physicalism cannot both (i) deny phenomenal consciousness as an error and (ii) remain fully immanent in its explanatory resources. The project includes formal analysis, conceptual reconstruction of illusionist theories (Dennett, Frankish), and applications to predictive-processing and free-energy models. The goal is not to defend any specific metaphysics of consciousness, but to establish a structural boundary on what purely naturalistic frameworks can coherently deny. Current outputs include a short preprint (“From the Hard Problem to the Hard Dilemma: Why Illusionism Faces a Normative No-Go”) and a front-page summary (“The Denial Gap”).