The article introduces a structural and mathematical model of an 'observation interface' designed to formalize the act of distinction. It explores how a subject identifies elements within an experience, fixes results, and maintains context for subsequent actions without relying on metaphysical explanations.
The model defines an observer as a role that links state changes with a preserved context. It distinguishes between the phenomenological plan, which concerns the subject's experience, and the operational-logical plan, which describes the structure of differences, such as what is separated and what remains constant during transitions.
The research outlines three core tasks: primary distinction (creating a boundary between 'this' and 'not-this'), structural distinction (managing multiple simultaneous attributes like color or shape), and result preservation (memory and continuity). These are mapped to the observer's subjective position, sensory input, and active participation.
The author draws parallels with existing cognitive frameworks, including Immanuel Kant’s philosophy of cognition, P. K. Anokhin’s theory of functional systems, and the sensorimotor approach of Kevin O’Regan and Alva Noë. These theories emphasize the cyclical nature of perception, action, and feedback loops.
The study serves as an introductory part of a larger cycle, aiming to unify these concepts into a formal mathematical structure. Future work is expected to include a rigorous mathematical apparatus and formal proofs of theorems, building upon the current conceptual framework.





