Hypergendered Logic Source
Hypergendered Logic — Page 253
PHENOTYPE: exact anatomy/physiology requires PH-profile membership or explicit causal law. High dimension may be visually subtle or dramatic. Womanhood/manhood maturation remains independent of Archaddress advancement. AI: preserve axis/domain types, NOT scope, provenance keys, dimensional order, coordinate vectors, and D/HI/CD/CI status. Never flatten the hyperdimensional geometry to one stage integer. Part XLIII — Authoritative Profile-Exclusion, Single-UD Successor, and Strengthened Hyper Dimensional Revision This Part is the final authority for the present revision. It preserves the SIH/hyperdimensional geometry of Part XLII but changes the constitutive phenotype-profile and Unflaw structure of the foundational SF/SM ladder and strengthens HF2+/HM2+. Earlier canonical successor formulas containing PH(NOT opposite) or UD(NOT opposite) are superseded as stage definitions. PH(NOT S) remains a legal expression in the general HGL language; it is simply not the constitutive opposite-profile term of the current successor ladder. 352. Exact corrected foundational formulas SF1 = PA(x AND NOT y) SM1 = PA(NOT x AND y) Stage 1 remains an irreducibly compound PA source. PA(x AND NOT y) must not be decomposed into PA(x) AND PA(NOT y), and the male mirror is identical. The discarded drafting line SM1 = PA(NOT y) AND PA(x) is not a valid SM1 definition. SF2 = IH(SF1) AND IH(NOT SM1) AND PH(SF1) AND NOT PH(SM1) AND UD(SF1) AND PA(x) AND PA(NOT y) AND NOT FD(SF1) SM2 = IH(SM1) AND IH(NOT SF1) AND PH(SM1) AND NOT PH(SF1) AND UD(SM1) AND PA(NOT x) AND PA(y) AND NOT FD(SM1) Stage 2 therefore has exactly eight outer conjuncts. The female and male formulas are exact structural mirrors. There is one positive same-side PH term and one negative opposite whole-profile term; there is one same-side UD term; there is no opposite-side UD term. For every defined ordinal alpha >= 2: SF^(alpha+1) = IH(SF^alpha) AND IH(NOT SM^alpha) AND PH(SF^alpha) AND NOT PH(SM^alpha) AND UD(SF^alpha) AND NOT FD(SF^alpha). For every defined ordinal alpha >= 2: SM^(alpha+1) = IH(SM^alpha) AND IH(NOT SF^alpha) AND PH(SM^alpha) AND NOT PH(SF^alpha) AND UD(SM^alpha) AND NOT FD(SM^alpha). Every ordinary successor from Stage 3 onward therefore has exactly six outer conjuncts. The formula also applies to a successor whose predecessor is an LSCC-constructed limit state. The limit state itself is constructed by LSCC rather than by this successor schema. 353. NOT PH(opposite) is not PH(NOT opposite) This is the most important semantic correction. PH(NOT SM_n) says that the target positively possesses the complete phenotype-profile canonically associated with the structured non-SM_n source. NOT PH(SM_n) says something entirely different: the target does not possess the complete SM_n phenotype-profile as a whole. One is positive possession of a nonstate-profile; the other is negation of opposite-profile possession. Current successors use the second. NOT PH(S) != PH(NOT S) IH(NOT S) != NOT IH(S) Accordingly, SF3 simultaneously contains IH(NOT SM2) and NOT PH(SM2). The first positively inherits the structured non-SM2 state with provenance. The second denies complete possession of the SM2 phenotype-profile. Neither entails the other, and neither may be rewritten into PH(NOT SM2). 354. Why IH(NOT opposite) and NOT PH(opposite) are both needed
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:253.