Salt b11 — Mathematical Foundations and Formalism Status

This crystal collects all adversarial exchanges about the mathematical rigor, formal status, mereological foundations, model classification, and logical self-consistency of the matheology framework. The central tension: is this real mathematics or dressed-up rhetoric?

Status summary: Proto-formal status honestly conceded (PRO b18). Three rigor levels explicitly separated (PRO b32). Mereology gap contained (PRO b20). Self-referential dictum withdrawn (PRO b36). The framework does not claim to be fully formalized — it claims to be a research program with formal aspirations.

Related crystals: Salt b15 — Mechanism Specificity: Why Jubilee? (mechanism specificity, overlaps on model status).

Con/Pro Pairs in this Crystal

• Con-E.8 — Formalism Is Rhetorical, Not Rigorous
• Pro-F.8 — Response to Con-E.8 (Formalism Status)
• Con-C.2.5 — 7TrackRole Model Is Taxonomy, Not Science
• Pro-D.2.5 — Response to Con-C.2.5 (7TrackRole: Taxonomy Not Science)
• Con-D.2.8 — Pinnacle Argument Undermines the Framework’s Scientific Credentials
• Pro-D.2.8 — Response to Con-D.2.8 (Pinnacle Argument and Rigor)
• Con-E.10 — Mereological Framework Has Known Limits for Abstract Entities
• Pro-G.10 — Response to Con-E.10 (Mereological Limits)
• Con-E.2.12 — “Everything That Can Be Done Will Be Done” Dictum Is Self-Undermining
• Pro-F.2.12 — Response to Con-E.2.12 (“Everything Possible” Dictum)
• Con-D.2.9 — Domain Demarcation: D_f / D_free / D_inno Lacks Formal Criteria
• Pro-E.2.9 — Response to Con-D.2.9 (Domain Demarcation)