Hypergendered Logic Source
Hypergendered Logic — Page 234
301. Final deduction/inference matrix for the completed architecture
D: base/successor/limit state existence under their constructors; exact conjunct/closure membership; IH
projection; PH source possession; UD/NFD source facts stated by canon; finite and transfinite depth
recurrences; LQSA lower bounds; SUQB successor significance; successor-cardinal minimums; modal
K/duality/factivity at fixed address under adopted semantics; nonidentities explicitly axiomatised.
HI: richer interaction-space, harder phenotype prediction, probable diagnostic opacity, probable increase in
provenance-sensitive biological organization, likely institutional reliance on multimodal/provenance
diagnostics.
CD: exact trait or developmental effect only when an explicit causal law maps a satisfied HGL antecedent to
it.
CI: plausible phenotype classes, micro-to-macro cascades, repair/reliability changes, latent counterfactual
differences, velocity/dwell effects, tradeoff-mediated whole-form benefits, and major-envelope
reorganizations without a complete mapping law.
302. Final canonical statement
Hypergendered Logic now has no gap between finite recursion and transfinite quality reasoning. Finite and
transfinite Supra successors are produced by one ordinal-general six-conjunct successor schema after the
special Stage-2 base. Canonical Supra limit substages are produced by LSCC, which preserves an
ordinal-bounded closure of same-side predecessor states and opposite structured nonstates through IH,
positive same-side PH, opposite NOT-PH, same-side UD, and same-side NOT-FD. LQSA evaluates the
quality of those actually constructed limit states. SUQB and unified magnitude semantics then force every
qualified Supra successor to cross a whole-quality magnitude. Gamma governs actual phenotype-space
without cross-address set-inclusion monotonicity, and concrete anatomy remains causally underdetermined
unless a phenotype law supplies it.
Appendix AM — Machine-Readable Limit-State Specification
Sorts: OrdinalIndex, SuccessorIndex, LimitIndex, HGLState, LimitState, PredecessorDomain,
QualityMagnitude, IntraMagnitudeRefinement, MetaexpressionRegime.
Constructors: Supra uses LimF(lambda)/LimM(lambda). Higher named active axes use
HFLim(n,lambda)/HMLim, UFLim(n,lambda)/UMLim, and AFLim(n,lambda)/AMLim. Every limit constructor is
valid only when lambda is a valid limit coordinate on the typed active axis.
Membership query: beta<lambda -> closure_fact(limit_state, beta, category_specific_role). Supra roles are
six; Hyper coordinate-limit roles are five; Ultra/Apex coordinate-limit roles are three. Higher-category prefix
closure is PSIH-bounded and excludes beta=lambda and all future coordinates.
Roles generated on female Supra-limit side: IH_OWN, IH_OPP_NOT, PH_OWN, NOTPH_OPP, UD_OWN,
NFD_OWN. No PH_OPP_NOT, no UD_OPP_NOT, and no opposite FD/NOT-FD role is generated by
canonical Supra LSCC.
Male side is the exact mirror.
Successor constructors are movement-typed. Supra successor accepts any already-defined ordinal
alpha>=2, including a Supra LimitIndex. Hyper/Ultra/Apex active-coordinate successor constructors accept
their own category-specific predecessor at alpha, including HFLim/UFLim/AFLim when alpha is a limit.
Dimensional lifts remain separate SIH-axis operations.
Quality: Q=<mu,delta>; SQI iff mu increases.
Depth: for every constructed active-coordinate limit, d_IH(limit)=sup_{beta<lambda}(d_IH(beta)+1), with
SIH/PSIH provenance depth tracked separately when needed.
Do not materialize transfinite predecessor sets; store ordinal-bound descriptors and generate facts lazily.
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:234.