Journal of Systems Thinking · Volume 6, Issue 1 · 2026-06-30
The Asymptotic Boundary of O-Theory
Why 1/1 ≠ 1
Mark Klein
DOI 10.54120/jost.v26i1.ib5297p4 (registration pending)
Abstract
ABSTRACT : O-Theory has shown that the Distinctions, Systems, Relationships, and Perspectives (DSRP) patterns provide a universal structural grammar for distinguishable phenomena in the observable universe [1]. Within this domain, Mental Models (M) and Reality (R) are shown to be structurally composed of Information (I) and Organization (O), expressed as M = IO and R = IO [1]. While this relational grammar appears to yield a highly robust map of observable reality, a boundary condition emerges at the limit of its application. Grounded in formal mereology and the logic of self-reference, this paper suggests that a complete structural identity between a model and reality (M = R) may be logically impossible. By exploring why the operational syntax of the fraction 1/1 cannot semiotically equate to the conceptual value of the integer 1(distinguishing structural syntax from quantitative output), this paper offers an interpretation of the asymptotic boundary condition present in O-Theory. This interpretation localizes uncertainty to the boundary itself, while preserving the validity of DSRP throughout the observable domain and highlighting potential psychological and epistemological implications of the asymptotic limit.
© 2026 Journal of Systems Thinking (JoST) · CC BY-NC-ND 4.0
