IndisputableMonolith.Sociology.GovernanceDesignFromConfigDim
This module formalizes governance design in the sociology domain of Recognition Science by deriving institutional structures from configuration dimension. It defines canonical institutions, three binary governance criteria analogous to Arrow's conditions, failure modes, and certified assignments with uniqueness. Researchers in axiomatic social choice or foundations of institutions would cite it to link phi-ladder configurations to governance. The module consists entirely of definitions and supporting counts with no proofs.
claimThe module introduces $CanonicalInstitution$, $GovernanceCriterion$ (three binary predicates), $InstitutionalFailureMode$, $GovernanceAssignment$, and $GovernanceDesignCert$ such that $fullGovernance$ yields a unique assignment satisfying the criteria.
background
Recognition Science extends its forcing chain (T0-T8) and Recognition Composition Law into sociology by modeling institutions as discrete configurations on the phi-ladder. This module defines $CanonicalInstitution$ as the base object, $GovernanceCriterion$ as three binary conditions analogous to Arrow's social choice axioms, and $InstitutionalFailureMode$ for breakdown cases. Counts such as $institutionCount$ and $criterionCount$ quantify these structures in RS-native units. The setting inherits the eight-tick octave and D=3 from the unified chain, treating governance as an assignment problem over configuration dimension.
proof idea
This is a definition module, no proofs. It consists of sequential definitions for the core objects followed by a uniqueness statement for full governance assignments.
why it matters in Recognition Science
This module supplies the axiomatic vocabulary for governance in the sociology section, feeding into higher-level results on institutional stability and design certification. It connects the three binary criteria directly to the configuration dimension and the phi fixed point, providing a bridge from the unified forcing chain to social structures. The uniqueness result for full governance anchors downstream claims about certified designs.
scope and limits
- Does not derive the three binary criteria from the Recognition Composition Law.
- Does not assign numerical values or probabilities to criteria satisfaction.
- Does not prove existence or impossibility results beyond uniqueness of full governance.
- Does not include empirical mappings or data validation for the criteria.
declarations in this module (11)
-
inductive
CanonicalInstitution -
theorem
institutionCount -
inductive
InstitutionalFailureMode -
theorem
failureModeCount -
inductive
GovernanceCriterion -
theorem
criterionCount -
structure
GovernanceAssignment -
def
fullGovernance -
theorem
full_governance_unique -
structure
GovernanceDesignCert -
def
governanceDesignCert