NOT.3:10 - Architectural Rationale

The interpretation connects representation with work. It identifies the meaning relevant to a question and the operations through which a reader can obtain a consequence. Neither a symbol inventory nor a description of intended meaning alone guarantees that those operations are available.

The separation between interpretation and obtaining preserves generality. MATH.18 can establish a mathematical interpretation. CMP.12 can construct an effective evaluator under its algorithmic conditions. NOT.3 asks what reading the notation is to support and supplies the missing connection for its intended user. It can therefore include a manual or embodied route without assuming that every semantic assignment is computable.

Several useful readings may expose the same structure differently. Choosing among them can change the work needed to recover an answer or the intermediate structure made available. This is one reason to design notations around operations, rather than treating them only as shorter ways to write conclusions.