Hypergendered Logic Source

Hypergendered Logic — Page 74

HGL Source Framework · Page 74 of 293 · Source: Hypergendered Logic

Deduction D: permanent stagnation is compatible with later development 
The proposition 
 
∀𝑡≥𝑡0,  𝑆𝐴, 𝑡
(
) = 𝑆𝐹
𝑛
is logically compatible with 
 
∃𝑡1, 𝑡2 ≥𝑡0:  𝐷𝐴, 𝑡1
(
) ≠𝐷𝐴, 𝑡2
(
).
Deduction E: puberty does not logically entail stage advancement 
Without an axiom linking puberty progress to stage increment, 
 
𝑃𝑢𝑏𝑒𝑟𝑡𝑦𝑃𝑟𝑜𝑔𝑟𝑒𝑠𝑠𝐴
( ) ⊭ 𝑠𝐹𝐴, 𝑡2
(
) > 𝑠𝐹𝐴, 𝑡1
(
).
Deduction F: high stage does not logically entail sexual maturity 
Without a stage-maturity law, 
 
𝑆𝐹
100 ⊭ 𝑆𝑒𝑥𝑢𝑎𝑙𝑙𝑦𝑀𝑎𝑡𝑢𝑟𝑒.
This may seem surprising, but it follows from keeping the axes distinct. A particular fictional species may 
later add a causal restriction that makes such combinations impossible; HGL itself does not yet do so. 
112. What can be logically inferred but not strictly deduced 
Some conclusions are structurally reasonable but depend on how the broader HGL model is completed. 
•​
An Archfemale who has remained at 
 for years may have a more mature 
 realization than 
𝑆𝐹
5
𝑆𝐹
5
immediately after acquiring the stage. 
•​
A stage-specific structure may become more integrated with other female systems during puberty. 
•​
Two Archfemales at the same stage but different maturities may respond differently to the next stage 
transition. 
•​
A long stagnation interval may create developmental history that changes how later stage 
progression manifests. 
These are HGL inferences rather than bare classical deductions because they rely on the intended 
causal-developmental meaning of PA and on plausible but not fully axiomatized temporal biology. 
113. What can be causally deduced 
A causal deduction requires an explicit causal law. Suppose a future HGL biology stipulates 
 
𝑆𝐹
4 ∧𝑃𝑢𝑏𝑒𝑟𝑡𝑦𝑃ℎ𝑎𝑠𝑒2 →𝑇,
where is a specific anatomical development. 
𝑇
If Aliza is 
 and reaches 
, then is causally deducible within that model—even if she never 
𝑆𝐹
4
𝑃𝑢𝑏𝑒𝑟𝑡𝑦𝑃ℎ𝑎𝑠𝑒2
𝑇
advances to 
. 
𝑆𝐹
5
Likewise, if the model stipulates 
 
𝑆𝑀
7 ∧𝑀𝑎𝑡𝑢𝑟𝑒𝑃ℎ𝑎𝑠𝑒→𝑅,
then an 
 Archmale entering that maturity phase acquires by causal deduction while remaining 
. 
𝑆𝑀
7
𝑅
𝑆𝑀
7

Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:74.