IndisputableMonolith.Ethics.VirtueComposition
The Ethics.VirtueComposition module formalizes algebraic composition of virtues such as love and justice inside the Recognition Science framework. Researchers modeling ethics axiomatically would cite its definitions of effects and preservation properties. The module supplies a collection of definitions and lemmas built on Mathlib, with no internal proofs.
claimVirtue composition operator $\circ$ on effects $E$ satisfying $\text{preservesSigma}(E_1 \circ E_2)$ whenever $\text{preservesSigma}(E_i)$ holds, together with the specific maps $\text{loveEffect}$ and $\text{justiceEffect}$ and the associativity law $(V_1 \circ V_2) \circ V_3 = V_1 \circ (V_2 \circ V_3)$.
background
The module sits in the Ethics subdomain and imports only Mathlib. Its sibling declarations introduce VirtueEffect (modeling the action of a virtue), the predicate preservesSigma (an invariant preserved under composition), the binary operation compose, and concrete instances loveEffect and justiceEffect. Additional declarations establish that composed virtues preserve sigma, that love composed with justice satisfies the preservation property, and that the composition is associative.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the algebraic substrate for virtue composition that later ethical results in the Recognition Science mirror rely upon. It extends the same functional-equation approach used for the physics chain (T0-T8, RCL) into the ethics domain, providing the structural lemmas needed for any downstream derivation of ethical principles.
scope and limits
- Does not derive numerical values or physical units for virtue effects.
- Does not link virtue composition to the phi-ladder or the alpha band.
- Does not contain a complete ethical decision procedure.
- Does not import or reference the core physics modules.