IndisputableMonolith.Decision.VotingParadoxesFromJCost
The VotingParadoxesFromJCost module applies the reusable J-cost band template to derive paradoxes in voting and decision systems within Recognition Science. Decision theorists and unified-model researchers would cite it when tracing inconsistencies back to the J-cost on preference ratios. The module follows the six-clause structure imported from CanonicalJBand to establish the required zero and nonnegativity properties.
claimThe J-cost band on voting ratios satisfies $J(1)=0$ and $J(x)≥0$ for $x>0$, yielding paradoxes in preference aggregation.
background
This module sits in the Decision domain and imports the Canonical J-Cost Band template. That template supplies a reusable six-clause structure used across the master cert chain for B-tier whole-science openings and Plan v7 domain certs. Each domain cert must prove matched-zero J(1)=0 together with nonnegativity J(x)≥0 for x>0.
proof idea
This is a definition module, no proofs. It organizes the voting-paradox certificates by direct application of the imported six-clause J-cost template.
why it matters in Recognition Science
The module supplies the Decision-specific domain certificate in the master cert chain. It feeds the B-tier whole-science openings and the Plan v7 forty-something domain certs described in the CanonicalJBand documentation.
scope and limits
- Does not derive paradoxes outside the J-cost ratio model.
- Does not quantify paradox severity with numerical data.
- Does not treat voting systems beyond ratio-based preferences.
- Does not connect to empirical election records.