Hypergendered Logic Source
Hypergendered Logic — Page 263
superinheritance, structured non-opposite-axis superinheritance, and same-side Unflaw. Supra is six-role and additionally contains own-side PH, opposite NOT-PH, and NOT-FD. Thus quality monotonicity can be shared without collapsing category-specific operator topology. 378. Unified quality-monotonicity map across the named hierarchy There are six different quality mechanisms in the current axis-complete canon and they must be typed. SUQB governs ordinary Supra successors. CUQB governs active-coordinate successors inside Hyper, Ultra, and Apex. Generalized LQSA governs every canonically constructed active-coordinate limit, including Supra LSCC limits and H/U/A coordinate limits. DUQB governs dimensional-order lifts in Hyper, Ultra, and Apex. CSQB governs strict minor-category seed construction. Major Boundary Unflaw bridges govern adopted major-stage transitions. No one bridge may be silently substituted for another. DimLift(S,T) AND UD_T(S) => SQI(Q(S),Q(T)). CategoryLift(C,T) AND CanonicalSIHDimLift(C,T) => SQI(Q(C_completed),Q(T)). The important metarule is: SIH itself still does not mean better quality. Quality follows only because the canonical target separately contains UD or because a named category/major bridge stipulates the comparison. This prevents the word superinheritance from becoming an uncontrolled synonym for improvement. 379. Named-hierarchy monotonicity theorem Relative to the adopted bridges, every currently defined canonical movement has an explicit quality rule: Supra coordinate successors use SUQB; Hyper/Ultra/Apex active-coordinate successors use CUQB; every constructed active-coordinate limit uses generalized LQSA; Hyper/Ultra/Apex dimensional-order lifts use DUQB; strict category seeds use CSQB; and adopted major-stage transitions use their major bridge. Successor/lift movements are Significant Quality Increases when the corresponding bridge antecedents are satisfied, while limits are nondecreasing by supremum preservation unless a stronger limit law is separately added. Once the entering quality magnitude is transfinite, any bridge-qualified Significant Quality Increase must leave the current cardinal magnitude. If mu(S)=aleph_alpha and T is the relevant qualifying successor/lift, then mu(T)>=aleph_(alpha+1). The target may leap farther; the successor cardinal is a minimum. 380. Strong Nonflaw Supra versus Global-Unflaw-only Hyper/Ultra/Apex The named ladders now share quality ascent but not local nonflawhood. Supra same-side predecessors are explicitly UD AND NOT-FD: significant global improvement with no local decrease anywhere relevant. Hyper, Ultra, and Apex internal dimensional recurrences contain UD but not NOT-FD. Therefore their predecessor contribution may, in principle, be globally quality-improving while lowering some local extent. This is a real difference in biological logic, not a missing conjunct. Supra internal own-side package: UD(S) AND NOT FD(S). Hyper/Ultra/Apex internal own-side package: UD(S); FD-status OPEN unless separately constrained. A layman analogy: Supra requires an upgrade that improves the whole machine without making any component worse. A higher-category dimensional upgrade must improve the whole machine by a new magnitude, but the current canon permits it to make one small subsystem worse if the global improvement is still significant. Whether future canon removes that tradeoff remains open. 381. Logical deductions versus structural inferences under the harmonized architecture Deductions include formula membership, SIH/IH source membership, coordinate/dimensional counts, limit closure consequences, PH/NOT-PH status explicitly present in a constructor, UD/NOT-FD status explicitly present, and quality conclusions when the named bridge antecedents are satisfied. Structural inferences include expectations that larger provenance geometry may permit richer cross-scale organization, that
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:263.