Hypergendered Logic Source

Hypergendered Logic — Page 159

HGL Source Framework · Page 159 of 293 · Source: Hypergendered Logic

G.11 Phenotype 
 
Π = Φ 𝐻, 𝐼, 𝑃, 𝐷, 𝐸
(
).
No arbitrary exact concrete trait without explicit PH-profile membership or an additional causal law. 
Appendix H — Proofs and countermodels for stage stagnation 
H.1 Constant stage, changing maturity 
Let 
 for all in an interval, while 
 increases. This is a model of HGL because no axiom equates 
𝑠𝐹𝑡
( ) = 4
𝑡
𝐷𝐹𝑡
( )
the variables. Therefore stage constancy does not entail maturity constancy. 
H.2 Constant stage, changing phenotype 
Let 
 depend on maturity. With stage fixed and maturity changing, phenotype changes. Therefore same 
Π 𝑡
( )
stage over time does not entail identical body state. 
H.3 Puberty without Archstage increase 
Set puberty variable Pt to progress while sFt=3. No contradiction follows. Thus puberty does not entail SF4. 
H.4 Archstage increase without immediate puberty increase 
Let 
 move from 3 to 4 at a moment while the puberty/maturity variable is constant. This is also consistent 
𝑠𝐹
unless a special coupling law is added. 
H.5 Permanent stasis 
Let 
 for all future time while aging and maturity continue. “Permanent” modifies stage, not all 
𝑠𝐹𝑡
( ) = 5
biology. 
H.6 Archfemale classification at zero velocity 
Because Archfemale depends on FemaleType plus stage occupancy, a zero stage derivative does not 
remove the label. 
H.7 Same stage, different time since acquisition 
Two subjects can both be SF6 while one reached it yesterday and the other ten years ago. If phenotype 
depends on time-since-acquisition, they can differ. 
H.8 Same stage, different history 
Two subjects can reach SF8 through different temporal schedules. If history matters to , they can differ 
Φ
even after matching age/maturity. 
H.9 Stage fiber 
For each stage , define 
𝑛
Rn={Π:Π is a phenotype realization compatible with SFn}. 
HGL does not currently require 
. Thus each stage can correspond to a family of realizations rather 
𝑅𝑛
|
| = 1
than one exact body.

Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:159.