The Missing Distinction: The Connected Capacity of a Bounded Observer

Abstract What can a bounded observer distinguish, discover, construct, justify, adopt, preserve and revise with the evidence, authority and resources actually available to it? This work proposes the bounded-observer lens: treating these capacities as a connected object of analysis rather than assessing each in isolation. The starting distinction is between information an observer lacks and information it possesses but cannot afford to extract or use. Further distinctions separate an adequate representation’s existence from its accessible discovery, certification, construction and adoption. The account follows these dependencies through action, interruption and revision, including the work needed to sustain the observer’s own methods. Drawing on scoped mathematical results and worked examples, the book explains how informational limits, computational costs, retained obligations and authority interact. It applies the lens to measurement, AI systems, institutions and biological perception while distinguishing epistemic claims from claims about reality’s ultimate nature. It also examines how the research process can apply the same standards to its own constructions. This revised edition corrects earlier universal claims, compares the approach with related work, and identifies the remaining mathematical connections. Its central proposal is a connected account of attainable, justified capacity; the full characterization remains an open research program.