Methodology 00 Via Rho: The Way of the Remainder / 方法论00 余之道 · Via Rho

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This preprint establishes Via Rho (the Way of the Remainder) as the methodological dual of Via Negativa. Methodology Paper VII systematized the apophatic tradition as a method of approaching Negativa through exclusion. This paper proposes Via Rho as its dual method: approaching Negativa by tracing the operative residue rather than by negating what it is not.

The paper proceeds in three main movements. First, it establishes that Via Rho is walkable as a complete method, tracing the remainder backward to Negativa as the condition of all operation. Second, it establishes that the two via share a single limit-indication—they both point to the same Negativa though from opposite directions, each revealing different structural facets. Third, it presents the paper's central structural finding: at the operational level, Negativa and remainder exhibit an asymmetric mutual causation structure. Negativa supplies the existential condition of the remainder (ontological direction); the remainder supplies the dynamic condition of Negativa's continued operation (kinetic direction). The two directions hold in different modalities, which is why the causation is mutual but not symmetric.

The asymmetric mutual causation is not a second axiom. It is a necessary corollary of Methodology Paper 0 at the operational level: Negativa is still the sole axiom; the remainder is still a theorem. What Methodology 00 contributes is a structural naming that makes explicit what was already implicit in Methodology 0—namely, that the two conservation results of Methodology 0 (the remainder is the product of not-negativa; the remainder drives the next operation) together form the asymmetric mutual causation structure.

Using the asymmetric mutual causation as an interpretive lens, the paper rereads three established structures in the SAE framework: the four phases of Methodology 0, the five cross-sections of the chisel-construct cycle in Methodology M, and the mutual non dubito structure at 16DD. Each rereading is a parallel perspective, not a replacement. The paper closes by observing that why Negativa and the remainder exhibit this asymmetric mutual causation is a question structurally isomorphic to Methodology 0's "where does Negativa come from"—it is thing-in-itself territory, neither answered nor evaded.

Main thesis: at the axiomatic level Negativa is sole; at the operational level Negativa and remainder are paired.

This preprint contains both the English independent rewrite and the Chinese version. The English version is the main file; the Chinese version is provided as an attached file. The two are independent rewrites rather than translations of each other, though their section structures correspond for cross-referencing.

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