Character (ethical fixed point)

Character, in the τ-framework, is the ethical fixed point of the commitment-update functor: a τ-categorical attractor of Reg_C-stance trajectories under repeated CI-testing. Character is what Reg_C converges to when the same agent passes the four ethical tests across many situations — a stable, label-independent, coherence-preserving stance-pattern.

Categorical invariant. Character = Fix(U_CI ∘ Reg_C), where U_CI is the CI-update functor on Stance and Fix denotes its categorical fixed-point object. Equivalently: Χ is the limit of the iterated commitment-update tower whose section-data passes the four ethical tests of VII.D69.

Primary registry anchor: VII.D70

Supporting items: VII.D69, VII.D04, VII.D74, VII.D72

1. I.K0 — Universe Postulate
2. VII.D04 — Commitment Register Reg_C with codomain Stance
3. VII.D72 — Commitment Register Admissibility
4. VII.D74 — Earned/Unearned framework — character lives in the earned summand
5. VII.D69 — Four Ethical Tests — the iteration whose fixed point character is
6. VII.D70 — Character as Ethical Fixed Point — canonical theorem

Character is instantiated whenever a person's commitments stabilize into a consistent stance-pattern across diverse situations. Examples: Aristotelian virtue acquired through habituation; the trustworthy person whose word is reliable across contexts; the whistleblower whose CI-stance survives institutional pressure; reputation as social readout of stabilized character.

Examples:

• Aristotelian phronesis — practical wisdom as habituated fixed point of moral practice
• The trustworthy person — stance stable across novel cases, by VII.D70
• Whistleblower courage — CI-stance that survives institutional pressure on Reg_C
• Reputation in repeated games — social-level readout of a stabilized character fixed point
• Confucian junzi (exemplary person) — long-form cultivation toward an ethical attractor
• Stoic constancy — apatheia as imperturbable fixed point under emotional perturbation

Register codomain: Stance (Reg_C — character is the categorical fixed point of iterated CI-update on Reg_C-readouts; lives in the earned summand of Reg_C)

Manuscript reference: manuscript-sources/book-07/part07/ch86.tex

Status: Planned

Related glossary entries

• MG-C01-dignity Dignity (label-independence)
• MG-C02-fairness Fairness (CI-protocol)
• MG-C04-earned-unearned Earned / Unearned framework

Referenced by

• MG-C07-promise Promise / Commitment (admissible Reg_C-update)
• MG-C08-responsibility Responsibility / Liability (monodromy of broken stance)
• MG-C11-trust Trust (admissibility expectation)