PowerClass
plain-language theorem explainer
The definition introduces five epistemic classes for superhuman powers differentiated by their connection to proved Recognition Science structures. Researchers studying the σ-Resolution Superhero Thesis cite it when assigning the 27 canonical powers to categories. The construction proceeds as a direct inductive enumeration that automatically derives decidable equality.
Claim. The epistemic classes for superhuman powers consist of five categories distinguished by their relationship to proved recognition science structures: those with direct formalizations, those derivable from existing results, those requiring localized cost minimization technology, those consistent but needing theoretical extension, and those forbidden or constrained by conservation laws.
background
The Superhuman Core module formalizes the σ-Resolution Superhero Thesis power taxonomy, classifying 27 canonical powers from cross-cultural mythology into five epistemic tiers by RS mechanism type. The sibling Power inductive type enumerates these 27 powers. The local setting distinguishes proved theorems from hypotheses with explicit falsifiers and structural model definitions such as this classification.
proof idea
The declaration is an inductive definition with five constructors, one per epistemic tier. It derives DecidableEq and Repr automatically. No lemmas from upstream results are applied.
why it matters
This definition supplies the type for the downstream classification function that assigns each of the 27 powers to a class and enables counts such as 23 accessible powers. It implements the model component of the Superhuman Core module, filling the taxonomy step in the σ-Resolution Superhero Thesis. It distinguishes direct mechanisms from constrained cases within the Recognition Science framework.
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