pith. machine review for the scientific record. sign in
module module high

IndisputableMonolith.Foundation.UniversalForcing.Strict.Ethics

show as:
view Lean formalization →

The Ethics module supplies the strict ethical realization in the Universal Forcing framework, generated by minimal improvement over action states and costs. Researchers assembling the five-domain package would cite it when extending the forcing theorem to ethical structures. The module consists of type and function definitions built directly on the Narrative import, with no new theorems.

claimThe strict ethical realization is the instance generated by minimal improvement over action states $S$ equipped with cost function $c(a)$ satisfying symmetry $c(a)=c(a^{-1})$ and preference composition, yielding ethical zero and the full realization object.

background

The module imports Narrative, whose doc-comment describes domain-rich narrative realization over event states with act and beat coordinates, the inciting beat-step serving as generator. It introduces ActionState as the base type, actionCost with self and symmetry lemmas, preferenceCompose, ethicalZero, minimalImprovement as the generator, and strictEthicsRealization as the main object. These sit inside the strict Universal Forcing setting of the Foundation layer.

proof idea

This is a definition module, no proofs. It declares the action-state type, the cost function with its two basic properties, the preference composer, the zero element, the minimal-improvement generator, and the realization instance that packages them for downstream use.

why it matters in Recognition Science

The module supplies the Ethics-domain StrictLogicRealization instance that feeds the Metaphysical package (theology-neutral structure on the strict Universal Forcing theorem) and RichDomainCosts (which replaces the five placeholder laws with actual composition, excluded-middle decidability, and invariance across Music, Biology, Narrative, Ethics, and Metaphysical). It completes the ethical slot in the domain-rich forcing realization.

scope and limits

used by (2)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (1)

Lean names referenced from this declaration's body.

declarations in this module (9)