Hypergendered Logic Source

Hypergendered Logic — Page 33

HGL Source Framework · Page 33 of 293 · Source: Hypergendered Logic

Permanent stagnation at SM7 means only that he never reaches SM8 unless another rule says otherwise. It 
does not mean his body stops aging or maturing. 
51. Comparative phenotype table in words 
The most careful comparative descriptions are: 
Ordinary woman: female biology without a specified Archwomanhood inheritance ladder. 
Low-stage Archfemale: female biology with a small number of explicitly defined irreducible and inherited HGL 
structures. 
High-stage Archfemale: female biology with deep inheritance provenance whose phenotype may require 
high-order source relations to explain. 
Ordinary man: male biology without a specified Archmanhood inheritance ladder. 
Low-stage Archmale: male biology with early Supramale irreducible and inherited structures. 
High-stage Archmale: male biology with deep male-side/non-Suprafemale inheritance genealogy and 
potentially qualitatively novel male-compatible phenotypes. 
The hierarchy therefore predicts greater formal developmental depth, not a universal monotone ordering of 
visible anatomy, hormone quantity, stereotypical appearance, health, strength, fertility, attractiveness, or 
maturity. 
Part XIV — Proof library for the revised inheritance architecture 
This part distinguishes strict deduction from causal interpretation. Every proposition marked Theorem follows 
from the stated HGL definitions/axioms plus ordinary classical logic. Every proposition marked Causal 
inference requires a phenotype model and is not a theorem of Boolean logic. 
Proposition 1 — Inner and outer negation are not interchangeable 
By HGL semantics, 
 
𝑃𝐴¬φ
(
)
is a developmental mode whose designated causal basis is 
, while 
¬φ
 
¬𝑃𝐴φ
( )
is the outer failure of another developmental mode. No axiom identifies them. Therefore 
 
𝑃𝐴¬φ
(
)≢¬𝑃𝐴φ
( ).
Proposition 2 — PA irreducibility blocks conjunction distribution 
The canonical meaning of 
 is irreducible development due to the compound 
 as a whole. 
𝑃𝐴𝐴∧𝐵
(
)
𝐴∧𝐵
Therefore it is not generally reconstructible from two independent modes: 
 
𝑃𝐴𝐴∧𝐵
(
)≢𝑃𝐴𝐴
( ) ∧𝑃𝐴𝐵
( ).
This is an HGL semantic axiom rather than a theorem of classical propositional logic. 
Proposition 3 — Inner entailment does not lift through PA 
Although 
 
𝐴∧𝐵⇒𝐴,

Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:33.