Hypergendered Logic Source
Hypergendered Logic — Page 38
Proposition 24 — Stage stagnation does not entail biological-development stagnation The variable records Hypergendered order. A maturity variable records woman-development. No 𝑠𝐹𝑡 ( ) 𝐷𝐹𝑡 ( ) HGL axiom identifies them. Therefore 𝑠𝐹𝑡1 ( ) = 𝑠𝐹𝑡2 ( ) does not entail 𝐷𝐹𝑡1 ( ) = 𝐷𝐹𝑡2 ( ). A model with constant stage and changing maturity is a countermodel. The male proof is symmetric. Proposition 25 — Concrete phenotype content remains underdetermined beyond explicit PH profiles Let two fictional phenotype maps and agree on the same explicit PH nodes but assign different Φ1 Φ2 unspecified concrete trait memberships to those PH profiles. Both can satisfy the current logic. Therefore stage logic now entails possession of its explicit PH profiles, but not every concrete anatomical detail until the relevant profile contents or causal mapping laws are supplied. Π Proposition 26 — Causal inference: higher inheritance depth can enlarge the distinguishable causal input space If the phenotype map is sensitive to inheritance source and depth, then increasing provides additional 𝑑𝐼𝐻 causally distinguishable inputs. It is therefore reasonable to infer a potentially larger space of stage-specific phenotypes at higher orders. This is a causal inference, not a theorem that every higher stage visibly changes more. Proposition 27 — Causal deduction requires an explicit phenotype law If HGL adds the law IH¬SM4⇒Z and a subject satisfies SF5, then by the recursion SF5⇒IH¬SM4, so SF5⇒Z within that causal theory. Without the added law, cannot be deduced. 𝑍 Proposition 28 — Retrospective intelligibility is compatible with prospective surprise Nothing is contradictory about a phenotype being difficult to predict from low-order information and later becoming derivable once the high-order inheritance graph and causal mapping are known. Prediction from incomplete inputs and explanation from complete inputs are different epistemic tasks. Proposition 29 — No nested PA is required for either the finite successor depth or the explicit hyperordinal extension Within the finite successor sector, IH nesting alone produces arbitrarily large finite source-depth. The current Hyperomega and major-stage extensions are added by explicit boundary/limit rules rather than by nesting
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:38.