Hypergendered Logic Source
Hypergendered Logic — Page 20
SF3⇒IH¬SM2⇒¬SM2. And directly, SF3⇒PHSF2, SF3⇒NOT PH(SM2). The Stage-3 phenotype layer is therefore explicitly richer than a model in which Stage 3 merely repeats the Stage-2 truth conditions. 22. Canonical SM3 The mirror is SM3 = IH(SM2) AND IH(NOT SF2) AND PH(SM2) AND NOT PH(SF2) AND UD(SM2) AND NOT FD(SM2) Therefore SM3⇒SM2⇒SM1, SM3⇒¬SF2, and SM3 positively possesses PH(SM2) while explicitly satisfying NOT PH(SF2). 23. Why Stage 3 is genuinely richer than Stage 2 There are now two independent sources of noncollapse. Inheritance depth: IHSF2 is a new source-sensitive inheritance layer over a richer predecessor than IHSF1. Phenotype/profile-status depth: PH(SF2) positively targets the complete phenotype-profile of the whole Stage-2 same-side state, while NOT PH(SM2) denies possession of the complete opposite Stage-2 profile. These roles are richer than their Stage-1-indexed counterparts because their source states are recursively richer, but NOT-PH is not itself a positive phenotype source. A truth-functional projection can overlap across stages while full HGL state identity remains different because the source graph and the whole-state phenotype sources differ. Part VII — General higher-order architecture 24. Canonical successor recursion inside a minor hypercategory (the legacy SF/SM sector shown) The Stage-1 base cases are SF1 = PA(x AND NOT y) SM1 = PA(NOT x AND y) The Stage-2 base cases are 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) Within the finite successor sector of the first Suprafemale/Supramale minor hypercategory, for every finite local substage n:
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:20.