IndisputableMonolith.Ethics.VirtueSignatures
The VirtueSignatures module defines the Recognition Science signatures for core virtues, introducing VirtueSignature as the central type along with concrete instances for love, justice, courage, and wisdom plus lemmas on their distinct sigma effects. Researchers formalizing ethics inside the RS framework would cite it to ground moral categories in the J-cost and recognition composition structure. The module is definitional, establishing basic properties and distinctions without complex derivations.
claimVirtueSignature is a type whose instances assign to each virtue a unique sigma-effect on the recognition functional $J$, with explicit definitions for love (unique sigma reduction), justice (sigma preservation), courage, and wisdom, satisfying distinctness and well-definedness conditions.
background
This module sits in the Ethics subdomain of Recognition Science and extends the core J-uniqueness and Recognition Composition Law from the Foundation layer. It introduces VirtueSignature as the mathematical object that encodes a virtue's effect on the sigma measure derived from the J-cost function. The sibling definitions supply concrete signatures for love, justice, courage, and wisdom together with lemmas establishing uniqueness, preservation, and distinctness of their sigma effects.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the base signatures that later Ethics theorems rely on to connect moral structure to the phi-ladder and eight-tick octave of the unified forcing chain. It provides the concrete objects needed to embed virtue distinctions inside the Recognition Science derivation of physical constants and mass formulas.
scope and limits
- Does not assign numerical values to virtue strengths.
- Does not derive ethical rules from physical constants.
- Does not address specific moral dilemmas.
- Does not prove equivalence with classical ethical systems.