In some classificatory practices, symbolic designations make distinctions communicable and actionable by gathering selected differences under a local criterion of equivalence. This position paper examines the limits of that operation from a generative-relational perspective. Its central claim is that symbolic equivalence can obscure differences in historically formed concepts, realized relational trajectories, and the generative conditions through which trajectories become possible. The equivalence criterion itself develops within particular histories and practices, giving symbolic sameness a purpose-relative scope. The paper proposes a deliberately local quotient-based formalization to identify the conditions under which a symbolic record suffices for a specified inference, while maintaining openness about wider generative-relational existence. It also considers cross-context interpretation, the practical feedback of classifications, and the revision of representational domains. Ontological openness provides a constructive methodological commitment while keeping questions about wider generative conditions available for inquiry. The result is a bounded philosophical argument for using symbols while preserving the limits of their interpretive authority.
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Wanhong HUANG (2026) studied this question.
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