Hypergendered Logic Source
Hypergendered Logic — Page 126
D8. Stage constancy alone does not entail phenotype constancy because Γ constancy and parameter constancy are different propositions. D9. Global Γ does not entail that every phenotype p is global; it entails that every phenotype expression is Γ-governed. D10. PA with nested logical content remains one PA node; Boolean depth inside PA does not create PA nesting. 257. Logical inferences that are strong but not theorems The architecture strongly supports several expectations, but they remain HGL inferences unless further axioms specify them. LI1. Higher stages will often have richer modal phenotype vocabularies than lower stages. LI2. Higher stages will often permit more intricate context-sensitive phenotypes. LI3. Exact visible phenotype prediction can become harder even while stage classification becomes easier. LI4. More global rule depth will often increase the number of possible interaction-generated phenotypes. LI5. A static high-stage Γ can generate phenotypic trajectories more complex than a static low-stage Γ when supplied with changing maturity/history inputs. These conclusions are plausible consequences of the architecture, not automatic truths of modal logic. 258. Causal deductions A causal deduction requires an explicit causal or metaexpression law. Modal notation makes such laws precise. If Γ^F_7 includes □^F_7(Maturity3 -> TraitQ), and Maturity3 is actual, then TraitQ is causally/logically deduced. If Γ^F_12 includes NOT ◇^F_12 TraitR, then TraitR cannot be a valid Stage-12 expression. If PA(φ) plus an explicit law L says every φ-based developmental realization produces tissue T under Γ^F_5, then T follows by causal deduction when the antecedents obtain. The role of the causal law must remain visible in the proof trace. HGL should never silently convert a plausible phenotype into a deduction merely because it sounds appropriate for the stage. 259. Causal inferences Without exact trait laws, the metaexpression architecture still supports causal inference. CI1. A new Γ can plausibly create a new phenotype by altering which lower-level interactions are admissible. CI2. A fixed Γ can plausibly generate new phenotypes over time as maturity, history, injury, environment, or physiology changes. CI3. A high-stage phenotype may be delayed because the relevant modal rule is conditional on a later biological trigger. CI4. Two same-stage individuals may differ in optional phenotypes while sharing the same necessary Γ-governed invariants. CI5. Two visually similar individuals at different stages may differ substantially in counterfactual phenotype possibilities even if their current visible outputs overlap. 260. Counterfactual phenotype identity One of the deepest consequences of Γ is that stage difference can exist in what the body could express under counterfactual conditions, not merely in what it is expressing now.
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:126.