Pro-F.8 — Response to Con-E.8 (Formalism Status)

Impact: F (Notable) — Partially resolved.

The critique is correct that th5–th11’s predicates lack formal semantics and that the proofs are informal. This is partially conceded. However, the critique applies an inappropriate standard. The PET system’s Group VI is explicitly marked as “proposed and in development.” The appropriate comparison is not with Benzmüller and Woltzenlogel Paleo’s machine-checked Gödel proof (the end state of formalization) but with Gödel’s original 1970 handwritten notes (the beginning). The system is at the “Gödel’s handwritten notes” stage — proto-formal, not yet mechanically checkable.

The path forward is identified: formalize the Group VI predicates (potentially using the 7TrackRole state model as formal semantics for societal roles), then check th5–th11 in a proof assistant. This is future work, not a refutation of the current informal argument.

Remaining gap: The concession is genuine — proto-formal status means the proofs cannot currently be mechanically checked. Until formalized, th5–th11 carry less demonstrative weight than th1–th4. The “appropriate to its stage” defense is valid but does not eliminate the current rigor gap.

Why Impact F, not E: The response acknowledges the gap rather than closing it. The formalization roadmap exists (7TrackRole semantics) but has not been executed. Proto-formal status is honestly conceded.

(Source: Reply to C8 from OOv1 Reply Round 1b.)