ReligiousExperienceType
This inductive definition enumerates five canonical religious experience types inside the J-cost model. A researcher deriving James' marks from recognition equilibrium would cite it to fix the count at the configuration dimension five. The declaration is a bare inductive definition whose finite cardinality follows immediately from the constructors.
claimThe type of religious experiences is the inductive set containing exactly five elements: mystical union, numinous encounter, conversion, prayer, and death awareness. Its cardinality equals the configuration dimension five.
background
The module derives William James' four marks from the J-cost function: noetic quality is identified with J-cost zero at equilibrium, transiency with the instability of that point under any positive perturbation, and passivity with the fact that the minimum is attained rather than chosen. The four marks are set equal to configDim D minus one. The five experience types are set equal to configDim D itself, where D is the configuration dimension fixed by the upstream forcing chain.
proof idea
The declaration is a direct inductive definition that introduces the five constructors with no proof body. Decidable equality, Repr, BEq and Fintype instances are generated automatically by the inductive structure and require no explicit lemmas.
why it matters in Recognition Science
The definition supplies the enumeration required by the downstream certification structure, which asserts cardinality five, four marks equal to five minus one, J-cost at unity equal to zero, and strict positivity of J-cost away from unity. It thereby places the Jamesian phenomenology inside the Recognition Science framework at the level of the eight-tick octave and D equals three spatial dimensions. No open scaffolding remains in this module.
scope and limits
- Does not derive the five specific types from the functional equation.
- Does not claim these types exhaust all possible experiences.
- Does not assign each type to a distinct rung on the phi-ladder.
- Does not address cultural or historical variation in reported experiences.
formal statement (Lean)
29inductive ReligiousExperienceType where
30 | mystical | numinous | conversion | prayer | deathAwareness
31 deriving DecidableEq, Repr, BEq, Fintype
32