IndisputableMonolith.Ethics.VirtueSignatures
Module defines Recognition Science signatures for virtues via a general type and specific instances for love, justice, courage, wisdom. Researchers working at the ethics-physics boundary cite it to ground moral concepts in the J-cost and sigma-effect structures. The module proceeds by direct definitions and short lemmas that establish uniqueness and preservation without algebraic reduction or tactic chains.
claimIntroduces the type of virtue signature together with concrete assignments for love (unique sigma effect), justice (sigma preservation), courage, and wisdom, each satisfying distinctness under the recognition composition law.
background
The module sits inside the Recognition Science extension to ethics, where structures derive from the J-function and the Recognition Composition Law. VirtueSignature is the central object that encodes a virtue's effect on sigma or defect distribution along the phi-ladder. It imports only Mathlib and introduces the four cardinal virtues as named instances with attached lemmas on their sigma behavior.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
Supplies the ethical layer that integrates moral categories into the Recognition Science monolith. It prepares the ground for later theorems that would embed virtue properties inside the forcing chain steps T5-T8, though no direct downstream uses appear in the current graph.
scope and limits
- Does not derive signatures from the core functional equation.
- Does not connect virtues to constants such as alpha or G.
- Does not treat virtues beyond the four listed instances.
- Does not supply a general existence theorem for arbitrary virtues.