powerCount_eq_27
The declaration establishes that the enumerated list of canonical powers in the σ-Resolution Superhero Thesis contains precisely 27 entries. Researchers working on the Recognition Science power taxonomy would cite this result to confirm the completeness of the classification into five epistemic classes. The proof proceeds via a single native decision procedure that evaluates the list length directly from the concrete enumeration.
claimThe complete enumeration of powers in the σ-Resolution taxonomy satisfies $|P| = 27$, where $P$ is the set of all canonical powers classified by mechanism type into five epistemic classes.
background
The Superhuman Core module formalizes the σ-Resolution Superhero Thesis power taxonomy. It defines a Power type that enumerates 27 distinct capabilities and assigns each to one of five epistemic classes (A–E) by RS mechanism type: DirectMechanism, Derivable, NautilusClass, Speculative, or Constrained. The exhaustive list is constructed explicitly with entries including telepathy, precognition, empathy, healing, immortality, astralProjection, superIntelligence, enhancedSenses, soundControl, animalCommunication, mindInfluence, collectivePower, flight, invulnerability, superStrength, forceFields, energyProjection, and transmutation.
proof idea
The proof applies the native_decide tactic, which reduces the length equality to a decidable computation over the concrete list definition and evaluates it at compile time.
why it matters in Recognition Science
This theorem anchors the power taxonomy in the Recognition Science framework by verifying that the enumeration reaches exactly 27 powers, as required for the five-class classification. It supports downstream structural counts such as the 23 accessible powers and 4 constrained ones. The result fills the structural claim listed among the module's key results for the σ-Resolution thesis.
scope and limits
- Does not derive the 27 powers from the forcing chain or J-uniqueness.
- Does not supply the classification function assigning each power to its class.
- Does not address empirical validation or falsifiers for individual powers.
- Does not connect the count to phi-ladder, constants, or spatial dimensions.
formal statement (Lean)
129theorem powerCount_eq_27 : allPowers.length = 27 := by native_decide
proof body
130