Hypergendered Logic Source

Hypergendered Logic — Page 96

HGL Source Framework · Page 96 of 293 · Source: Hypergendered Logic

This prevents stage number from becoming an explanatory catch-all. 
174. A logician’s normal-form discipline 
A logician should maintain at least three coordinated normal forms: 
1.
Boolean normal form of the projection for entailment tests; 
2.
inheritance normal form preserving every IH source and depth; 
3.
phenotype-profile normal form preserving every PH source/profile as an irreducible whole rather than 
distributing it over the source’s components. 
Simplifying one representation must not automatically simplify either of the others. 
175. An AI’s stage-construction algorithm 
To construct SFn+1 for n≥2: 
1.
retrieve canonical node SF[n]; 
2.
create IH(SF[n]) without flattening; 
3.
retrieve canonical node SM[n]; 
4.
create NOT(SM[n]); 
5.
create IH(NOT(SM[n])); 
6.
create PH(SF[n]) as a whole-stage phenotype-profile node; 
7.
create PH(NOT(SM[n])) as a whole non-opposite phenotype-profile node; 
8.
conjoin all four nodes; 
9.
attach FemaleType to the stage; 
10. record stage-source IH depth and whole-stage PH source order ; 
𝑛
𝑛
11.
memoize the node as SF[n+1]. 
The SM algorithm mirrors it exactly. 
176. AI reasoning algorithm for a query 
When asked whether SF50 implies SF12: 
•
follow the own-side IH chain and project repeatedly; 
•
answer yes with proof trace. 
When asked whether SF50 implies IHSF12: 
•
do not answer yes merely because SF12 is an ancestor; 
•
inspect the actual IH genealogy and determine whether an IH(SF12) source node is explicitly 
present at some layer or whether only a deeper nested source projects to it; 
•
preserve the difference between “is a logical ancestor” and “is the direct operand of a specific IH 
node.” 
This subtle distinction is essential for expert AI implementations. 
177. Fifty phenotype prompts and the correct epistemic response 
1.
“Does SF4 have a new organ?” — possible, not deduced. 
2.
“Does SF20 have more estrogen?” — not deduced. 
3.
“Does SM20 have more testosterone?” — not deduced. 
4.
“Can SF10 have new microanatomy?” — causally possible. 
5.
“Can SM10 have new microanatomy?” — causally possible.

Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:96.