Hypergendered Logic Source

Hypergendered Logic — Page 46

HGL Source Framework · Page 46 of 293 · Source: Hypergendered Logic

Worked Example 17 — Boolean overlap without stage collapse 
Because higher SM stages imply SM1, ¬SM1 can imply non-SM status at many later orders. Yet IH¬SM1 
and IH¬SM20 retain different source identities and inheritance depths. 
Status: intensional HGL distinction. 
Worked Example 18 — Stage 100 depth 
dIHstageSF100=99. 
Status: theorem from the inheritance-depth recurrence. 
Worked Example 19 — No nested PA 
 
𝑃𝐴𝑃𝐴𝑥
( )
(
)
is rejected by the core type grammar. The higher hierarchy uses 
, not nested PA. 
𝐼𝐻𝑃𝐴𝑥
( )
(
)
Status: syntax/type rule. 
Worked Example 20 — Female typing is not PA distribution 
FemaleTypeSF1 
is a category axiom. It does not imply that the standalone route 
 is present at Stage 1. 
𝑃𝐴𝑥
( )
Status: type distinction. 
Worked Example 21 — Exact Stage 4 
ExactSF4=SF4∧¬SF5. 
Because full HGL inheritance depth differs between the two stages, this is not rendered unsatisfiable by a 
truth-functional saturation collapse. 
Status: formal definition plus depth theorem. 
Worked Example 22 — Woman-development during stage stasis 
Suppose 
 for five years while maturity 
 changes. This satisfies HGL because no axiom 
𝑠𝐹𝑡
( ) = 4
𝐷𝐹𝑡
( )
equates 
 and 
. 
𝑠𝐹
𝐷𝐹
Status: consistency/countermodel. 
Worked Example 23 — Puberty does not prove stage advancement 
An Archfemale can undergo ordinary female puberty while remaining SF3. Therefore puberty alone does not 
entail SF4. 
Status: non-entailment. 
Worked Example 24 — High stage does not prove maturity 
A child could, if the fictional causal schedule permits it, be SF12 while still developmentally immature. Stage 
is not age or maturity. 
Status: non-entailment.

Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:46.