IndisputableMonolith.Sociology.SolidarityTypesFromConfigDim
This module defines solidarity types derived from configuration dimension within the Recognition Science sociology extension. Social physicists modeling group cohesion mechanisms would reference these classifications. It is a definition module that introduces enumerated types, a count function, and a certification predicate with no proofs.
claimThe module introduces the solidarity type classification $S$ derived from configuration dimension, the count function $n(S) : ℕ$, and the certificate predicate asserting validity of the derived types.
background
Recognition Science extends its core functional equation and phi-ladder to social structures by treating configuration dimension as the parameter that selects solidarity forms. The imported Constants module supplies the base time quantum τ₀ = 1 tick as the RS-native unit. Sibling declarations define SolidarityType as the enumeration of forms, solidarityType_count as the cardinality, and SolidarityTypesCert as the predicate that the types are correctly generated from the dimension.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the type-level foundation for solidarity analysis in the sociology extension. It connects to the T7 eight-tick octave and T8 D = 3 from the unified forcing chain, providing the discrete classification layer that higher social-dynamics results would instantiate.
scope and limits
- Does not derive the count from the J-cost functional equation.
- Does not link types to empirical social observables.
- Does not prove completeness of the classification.
- Does not address time evolution of solidarity states.