Hypergendered Logic Source

Hypergendered Logic — Page 60

HGL Source Framework · Page 60 of 293 · Source: Hypergendered Logic

Statement 
Status 
Reason 
SMn+1⇒SMn 
Deduction 
Symmetric. 
SMn+1⇒¬SFn 
Deduction 
Symmetric. 
dIHstageSFn=n−1 
Theorem 
Induction. 
SF1⇒PAx 
Not generally valid 
PA causal lifting rejected. 
FemaleTypeSF1 
Axiom 
Category typing. 
High stage 
 arbitrary 
⇒
exact visible trait 
Rejected without PH-profile 
membership or causal law 
Stage entails explicit PH 
profiles, not unspecified 
concrete morphology. 
Stage stasis 
 
⇒
developmental stasis 
Rejected 
Stage and maturity 
separate. 
Puberty 
 next Archstage 
⇒
Rejected 
Separate variables. 
More IH depth 
 more 
⇒
possible 
provenance-sensitive 
causal distinctions 
Causal inference 
Richer input space if 
Φ
reads provenance. 
Explicit law + stage 
antecedent 
 trait 
⇒
Causal deduction 
Model-relative causal law. 
Part XXVI — Compact canonical formal specification 
For implementers, the current PH-enhanced HGL core is: 
Syntax and types 
Let and be chromosome-condition atoms. Let range over Boolean formulas generated from them. 
𝑥
𝑦
φ
 
𝑃𝐴: 𝐼𝑛𝑛𝑒𝑟𝐶𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛→𝐷𝑒𝑣𝑒𝑙𝑜𝑝𝑚𝑒𝑛𝑡𝑎𝑙𝑀𝑜𝑑𝑒.
IH accepts typed inheritable sources (inner conditions or already-defined HGL states/non-states) and 
preserves the source sort/provenance. 
PH accepts typed phenotype sources (inner conditions or already-defined HGL states/non-states) and 
asserts irreducible possession of the complete HGL phenotype-profile of that source. 
Nested PA is noncanonical/ill typed. Same-stage self-referential PH is not used. 
Primitive PA modes 
 
𝐹= 𝑃𝐴𝑥
( ),  𝑈𝐹= 𝑃𝐴¬𝑥
(
),  𝑀= 𝑃𝐴𝑦
( ),  𝑈𝑀= 𝑃𝐴¬𝑦
(
).
PA rules 
 
𝑃𝐴¬𝑝
(
)≢¬𝑃𝐴𝑝
( ),
 
𝑃𝐴𝐴∧𝐵
(
)≢𝑃𝐴𝐴
( ) ∧𝑃𝐴𝐵
( ),
 
𝑃𝐴𝐴∨𝐵
(
)≢𝑃𝐴𝐴
( ) ∨𝑃𝐴𝐵
( ).
IH rules 
 
𝐼𝐻𝑍
( ) ⇒𝑍,
 
𝑍 ⇏ 𝐼𝐻𝑍
( ),
 
𝐼𝐻¬𝑍
(
)≢¬𝐼𝐻𝑍
( ).
No automatic distribution, inheritance lifting, causal-scope destruction, or flattening.

Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:60.