Hypergendered Logic Source

Hypergendered Logic — Page 127

HGL Source Framework · Page 127 of 293 · Source: Hypergendered Logic

Suppose two Archfemales currently look anatomically identical. If one satisfies ◇^F_20 q while the Stage-3 
individual satisfies NOT ◇^F_3 q, they occupy different phenotype possibility structures even before q is 
expressed. 
same current P does not imply same Γ. 
same current visible traits does not imply same modal phenotype-space. 
261. Same stage, different actual phenotype 
Two Stage-8 Archfemales can occupy the same Γ^F_8 while differing in optional phenotypes because their 
ages, histories, environments, or local developmental inputs differ. 
Γ^F_8(a)=Γ^F_8(b) does not imply P_a=P_b. 
What they must share is whatever Γ^F_8 makes necessary, together with whatever SF8/PH/IH definitions 
canonically require. 
262. Different stages, same visible phenotype 
The converse can also occur. A Stage-4 and Stage-20 Archfemale can temporarily share the same visible 
phenotype while differing in microscopic rules, latent possibilities, physiological constraints, or future 
conditional responses. 
P_visible(a)=P_visible(b) does not imply Γ(a)=Γ(b). 
263. Modal phenotype examples for lay readers 
Example 1: A hair phenotype is local, but whether that phenotype is permitted at all is governed by global Γ. 
Example 2: A Stage-5 ovarian phenotype can be required in ovarian tissue without the same phenotype 
appearing in the retina. 
Example 3: A microscopic tissue arrangement can be permitted only after puberty; Γ contains the conditional 
permission even before puberty. 
Example 4: A phenotype can be impossible at Stage 2 and newly possible at Stage 3 because Stage 3 
introduces a new expression dimension. 
Example 5: A Stage-9 phenotype can be possible but not necessary, allowing two Stage-9 Archfemales to 
differ without either being invalid. 
Example 6: A Stage-12 phenotype can be necessary, so every valid Stage-12 realization must express it 
when its domain/trigger conditions apply. 
Example 7: A Stage-7 girl can remain Stage 7 through puberty while many ordinary female phenotypes 
gradually appear. 
Example 8: A Stage-7 adult can develop an injury-repair phenotype never previously expressed without 
becoming Stage 8. 
Example 9: A Stage-50 subject can look externally similar to Stage 10 while having a much richer 
microscopic and counterfactual phenotype-space. 
Example 10: A local skin phenotype can be optional while a systemic regulatory rule governing skin 
responses is globally stage-defined. 
264. Modal phenotype examples for logicians 
L1. p ∧ ValidStage(n) entails ◇_n p. 
L2. □_n p entails p under T. 
L3. □_n p entails ◇_n p under nonempty W_n. 
L4. NOT ◇_n p entails □_n NOT p by duality. 
L5. □_n(p -> q) ∧ □_n p entails □_n q by K plus modus ponens. 
L6. ◇_n p does not entail p. 
L7. p does not entail □_n p.

Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:127.