Hypergendered Logic Source
Hypergendered Logic — Page 248
[SIH_axis(SF1), beta in SF tail] -> SIH membership -> IH(SF^beta) -> IH projection -> SF^beta -> D. [HF2 definition] -> dimensional-recursion typing -> DimCount(HF2)=3 -> D. [HF2, no phenotype law] -> claim “specific pelvic morphology” -> not derivable -> CI/ILL/OPEN. [HF2 definition] -> UD(HF1); [DimLift(HF1,HF2), UD(HF1), DUQB] -> SQI(Q(HF1),Q(HF2)) -> D; if mu(HF1)=aleph_alpha -> mu(HF2)>=aleph_(alpha+1) -> D. [same outward phenotype at HF2 and SF5] -> compatible model if Gamma spaces overlap -> possibility/CI, not identity of address. 351. Final canonical synthesis of the SIH edition The Archwomanhood/Archmanhood hierarchy is no longer accurately modeled as one recursive line. The lower Supra sector is a limit-complete one-axis HGL recursion. SIH then lifts complete source axes into a higher-dimensional Hyper architecture. Within Hyper, the active coordinate can range through a Hyperomega-bounded axis while lower coordinates are saturated; completing one dimensional stratum permits construction of a higher dimensional stratum. Completing the adopted Hyper dimensional domain permits a strict SIH category lift into Ultra; completing the Ultra dimensional domain permits the lift into Apex; later minor categories and major stages can continue by typed extensions. This creates four independent notions of “higher”: higher coordinate on an active axis, higher dimensional order, higher minor hypercategory, and higher major stage. HGL proof quality depends on never collapsing them. Whole-form quality can be forced upward at canonical lifts only because DUQB/CSQB/Major Boundary bridges explicitly say so. Exact physical phenotype remains a separate causal problem. The result is a provenance-sensitive, limit-complete, hyperdimensional developmental logic in which enormous structural and quality differences can coexist with either subtle or dramatic outward phenotype. Appendix AS — Machine-Readable SIH/Hyperdimensional Specification SORTS: AxisId, AxisCoordinate, HyperomegaBound, DimensionalOrder, CoordinateVector, MinorCategory, MajorStage, HGLState, AxisDescriptor, DimDomainDescriptor, SIHClosure, SourceKey, CategoryLift, DimLift. SUPRA AXIS: SF[alpha], SM[alpha], 1<=alpha<=Omega; Supra successors/limits use their foundational six-role machinery. HIGHER ACTIVE AXES: HF/UF/AF strata also have alpha-coordinates through Omega, but their coordinate successors and coordinate limits use Part XLV category-specific constructors rather than the dimensional-lift SIH recurrence. SIH_AXIS: SIH_axis(X[a]) := source-preserving closure over X[beta] for a<=beta<=Omega. Negated domain stores negated_source=True; NOT never migrates through SIH. HF SEED: HF1 := SIH_axis(SF1) AND SIH_axis(NOT SM1); HM1 mirror. HF DIMENSIONAL RECURSION: HF_(n+1) := SIH_axis(HF_n) AND SIH_axis(NOT HM_n) AND PH(HF_n) AND NOT PH(HM_n) AND UD(HF_n); HM mirror. This is dimensional-order ascent, not active-coordinate succession. Hyper coordinate steps use five immediate-predecessor IH/PH/NOT-PH/UD roles; Hyper coordinate limits use PSIH-bounded five-role closure. DIMENSIONAL DOMAIN: DimDomain(HF) := symbolic union of all canonical HF_n active axes across the adopted dimensional-order bound. Store intensionally, never by literal enumeration. UF SEED: UF1 := SIH_dim(HF-domain) AND SIH_dim(NOT HM-domain); UM mirror. UF dimensional lift n->n+1 uses SIH-own + SIH-NOT-opposite + UD-own. UF active-coordinate step alpha->alpha+1 uses IH-own + IH-NOT-opposite + UD-own; UFLim uses bounded PSIH prefix closure + UD-own. AF SEED: AF1 := SIH_dim(UF-domain) AND SIH_dim(NOT UM-domain); AM mirror. AF dimensional lift n->n+1 uses SIH-own + SIH-NOT-opposite + UD-own. AF active-coordinate step alpha->alpha+1 uses IH-own + IH-NOT-opposite + UD-own; AFLim uses bounded PSIH prefix closure + UD-own.
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:248.