Hypergendered Logic Source
Hypergendered Logic — Page 254
An AI might wrongly think the two clauses are redundant because both mention the opposite predecessor. They answer different questions. IH asks what state-properties are inherited and from which source. PH asks whether a complete phenotype-profile is possessed as a whole. A successor can inherit structured non-SM2 information while separately failing to possess the complete SM2 phenotype-profile. This gives HGL a sharp provenance/profile separation. Layman analogy: inheriting a complete list of ways in which a machine is not Model B is not the same thing as owning the full Model-B design package. The first is positive information about a non-B source; the second is absence of full B-profile possession. 355. Single-UD successor principle The current SF/SM successor architecture contains UD only for the same-side predecessor. Therefore SF_(alpha+1) asserts that the physically instantiated contribution associated with SF_alpha significantly improves the whole physical structure/form, while it makes no constitutive UD claim about the opposite structured nonstate. The male mirror is exact. SF^(alpha+1) => UD(SF^alpha); no theorem yields UD(NOT SM^alpha) from the successor definition alone. SM^(alpha+1) => UD(SM^alpha); no theorem yields UD(NOT SF^alpha) from the successor definition alone. This removal matters. The old nine/seven architecture treated both same-side and opposite nonstate sources as Unflaws. The current eight/six architecture is more selective: opposite-side inheritance and opposite-profile exclusion remain constitutive, but opposite-source quality status is open. 356. Same-side UD and NOT-FD remain nonredundant UD(SF_alpha) and NOT FD(SF_alpha) remain separate even though they apply to the same predecessor. UD says the predecessor contribution significantly increases whole-form quality. NOT FD says its presence decreases no relevant physical extent. The conjunction therefore means globally significant benefit plus absence of local degradation for that same-side predecessor role. UD(a) does not generally imply NOT FD(a); NOT FD(a) does not generally imply UD(a). The successor formula explicitly requires both for the own-side predecessor, so it is stronger than either predicate alone. 357. Correct De Morgan consequences NOT SF2 = NOT IH(SF1) OR NOT IH(NOT SM1) OR NOT PH(SF1) OR PH(SM1) OR NOT UD(SF1) OR NOT PA(x) OR NOT PA(NOT y) OR FD(SF1). NOT SM2 = NOT IH(SM1) OR NOT IH(NOT SF1) OR NOT PH(SM1) OR PH(SF1) OR NOT UD(SM1) OR NOT PA(NOT x) OR NOT PA(y) OR FD(SM1). The positive PH(SM1) disjunct in NOT SF2 is not a new biological axiom. It arises mechanically because classical negation of the SF2 conjunct NOT PH(SM1) is PH(SM1). This is exactly why NOT scope must be represented in the AST instead of handled by word substitution. 358. Limit-stage closure under Profile Exclusion LSCC must use the same current semantics rather than freezing an older seven-term predecessor package. At a female limit lambda, every earlier beta contributes target-relative IH(SF^beta), IH(NOT SM^beta), PH(SF^beta), NOT PH(SM^beta), UD(SF^beta), and NOT FD(SF^beta). The male mirror swaps SF/SM. Thus a limit stage accumulates all prior same-side profiles while excluding possession of every corresponding complete opposite-side predecessor profile. For all beta<lambda: SF^lambda => IH(SF^beta) AND IH(NOT SM^beta) AND PH(SF^beta) AND NOT PH(SM^beta) AND UD(SF^beta) AND NOT FD(SF^beta).
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:254.