Hypergendered Logic Source
Hypergendered Logic — Page 241
Each UF_n/UM_n possesses its own active coordinate axis and can recursively gain higher dimensional order through a three-conjunct SIH+UD recurrence. Ultra remains formula-distinct from Hyper: Hyper n+1 has SIH-own, SIH-NOT-opposite, PH-own, NOT-PH-opposite, and UD-own; Ultra n+1 has SIH-own, SIH-NOT-opposite, and UD-own. The present revision deliberately imports only the same-side UD quality role into Ultra, not Hyper's PH/NOT-PH package and not Supra's NOT-FD safeguard. 320. Apexfemale-1 and Apexmale-1 AF1 = SIH_dim(UF-domain) AND SIH_dim(NOT UM-domain). AM1 = SIH_dim(UM-domain) AND SIH_dim(NOT UF-domain). Apex is therefore the fourth currently named minor hypercategory. AF1 is a category lift over the complete Ultrafemale dimensional domain, not a predecessor of Ultra. This directly reverses the older flat-order convention that placed Apex before Ultra. 321. Higher Apexfemale/Apexmale dimensional strata For n >= 1: AF_(n+1) = SIH_axis(AF_n) AND SIH_axis(NOT AM_n) AND UD(AF_n). For n >= 1: AM_(n+1) = SIH_axis(AM_n) AND SIH_axis(NOT AF_n) AND UD(AM_n). Apex dimensional recursion now uses the same three-role SIH+UD quality topology as Ultra: SIH-own, SIH-NOT-opposite, and UD-own. It remains formula-distinct from the five-role Hyper recurrence because no PH/NOT-PH terms are imported, and it remains weaker than Supra with respect to local nonflawhood because NOT-FD is not constitutive. Later unnamed categories require explicit adoption of whichever internal constructor they use. 322. General named and unnamed category-lift schema Let C_k and D_k be female/male mirror minor hypercategories at one major stage, with CompleteDimDomain(C_k) and CompleteDimDomain(D_k). A strict next-category seed may be defined schematically as C_(k+1),1 = SIH_dim(C_k-domain) AND SIH_dim(NOT D_k-domain), with the exact male mirror. The named assignments in the current Major Stage 1 prefix are C1=Supra, C2=Hyper, C3=Ultra, C4=Apex. This is a schema for future unnamed categories, not permission to invent names or exact phenotypes. Each added category requires explicit canonical adoption if more semantics are desired. 323. Full Archaddress after hyperdimensionalization Global Address = (Hyperstage H, Stage S, Substage U, Substage^2 U2, Substage^3 U3). InternalHGLDescriptor = (minor_category c, dimensional_order d, coordinate_vector v, provenance metadata). The former Address=(major_stage, minor_category, dimensional_order, coordinate_vector) is now a lower-level logical descriptor, not the complete global Archstage address. A canonical coding/decoding layer places that structure inside the new bounded coordinate envelope. In the simplest base slice, Address(0,0,0,1,n) decodes to SF^n/SM^n, Address(0,0,0,2,n) to HF^n/HM^n, Address(0,0,0,3,n) to UF^n/UM^n, and Address(0,0,0,4,n) to AF^n/AM^n. More complex coordinate vectors remain typed and provenance-preserving; a code may represent them but may not erase their internal structure. A higher Hyperstage, higher Stage, higher Substage, higher Substage^2, higher Substage^3, higher SIH dimensional order, and a later coordinate within an InternalHGLDescriptor are all distinct notions. An AI or clinician must state which one changed. 324. Same source cardinality does not mean same dimensionality Suppose one completed active axis has aleph_omega many source positions. SIH_axis(SF1) and SIH_axis(NOT SM1) together still have aleph_omega source cardinality because two copies of an infinite cardinal have the same cardinality. HF2 can also have an aleph_omega-sized active source-axis while being structurally higher-dimensional than HF1. Therefore source-set cardinality is not a dimension counter.
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:241.