Commitment Sector (S_C)

The Commitment Sector S_C is the collection of all E_3-admissible contents whose coherence is governed by the Commitment Register Reg_C. Formally, S_C = { c ∈ Adm_{E_3} | Coh(c) = Coh_C(c) }. Its sector question is 'What am I willing to live as true?', its witness bundle is stance stability, and its vacuum is a fully examined and stably held existential orientation. S_C contains the Logos sector S_L as the locus where Coh_C = Coh_D.

Categorical invariant. Subobject S_C ⊆ Adm_{E_3} cut out by the equation Coh = Coh_C. Fourth of four pure sectors; weakly contains S_L via the equality Coh_C|_{S_L} = Coh_D|_{S_L}.

Primary registry anchor: VII.D10

Supporting items: VII.D04, VII.D11, VII.D07, VII.D08, VII.D09

1. I.K0 — Universe Postulate
2. VII.D04 — Commitment Register Reg_C with codomain Stance
3. VII.D10 — Commitment sector S_C — admissible contents whose coherence equals commitment coherence
4. VII.D11 — Logos sector S_L ⊆ S_C — the mixed-sector intersection where Coh_C = Coh_D

S_C is instantiated wherever a category-error-free claim's coherence is governed by stance-stability: a Kantian postulate, an existential orientation, a foundational worldview-axiom. The sector question — 'What am I willing to live as true?' — is the structural ground of categorical mind and consciousness (Book VII, Part IX).

Examples:

• A Kantian postulate of practical reason (freedom, immortality, God) — sector S_C content held because coherent agency requires it
• An existential orientation that survives reflective scrutiny without collapsing into observation, obligation, or proof
• The commitment to dignity as label-independence, prior to its diagrammatic certification — sector S_C content whose vacuum is stable existential orientation

Register codomain: Stance (via Reg_C); the sector itself is a subobject of Adm_{E_3}

Manuscript reference: manuscript-sources/book-07/part01/ch05.tex

Status: Planned

Related glossary entries

• MG-R01-empirical-register Empirical Register (Reg_E)