Beyond the categorical museum: Why the DSM cannot name the neurodivergent mind

Abstract

The removal of Asperger’s syndrome from the fifth edition of the Diagnostic and Statistical Manual of Mental Disorders was defended as a refinement: the replacement of an unreliable subtype by a dimensional construct grounded in empirical continuity. This paper argues that the move was not a refinement but a category error in the precise sense developed by Ryle. The dimensional spectrum is a Cartesian instrument, a symptom space of discrete, additive criteria, bounded by thresholds, navigable by coordinates. The neurodivergent mind is not a Cartesian object. As a complex adaptive system operating in the vicinity of criticality, its identity is carried not by the values of isolated variables but by invariant dynamical structure: attractors, trajectories, phase-space signatures that persist under transformations which annihilate any pointwise description. To classify such an object by checklist is to apply a Euclidean ruler to a fractal coastline and report the measurement as fact. The result is not approximation; it is the wrong kind of answer to the question. An instrument’s adequacy to its object is the elementary methodological demand a nosology must satisfy, and the 2013 revision failed that demand for reasons that are structural rather than contingent. The paper proposes the recovery of the Asperger construct, not as a restored box with inclusion criteria, but as a recognizable emergent configuration of a cognitive system organized around a distinct attractor. It develops the argument by deriving, from two propositions already settled in mathematics, Klein’s, that geometric invariants are relative to a transformation group, and Mandelbrot’s, that a single object can carry two irreducible geometric descriptions both of which are true, the coexistence within one object of ontologically real geometric regimes irreducible to one another and accessible only by instruments adequate to each.