Hypergendered Logic Source

Hypergendered Logic — Page 63

HGL Source Framework · Page 63 of 293 · Source: Hypergendered Logic

where and indicate different developmental realizations of the same order. 
α
β
Likewise, 
 
𝑆𝑀α
𝑛→𝑆𝑀β
𝑛.
The subscripts and are not additional Suprafemale or Supramale orders. They simply remind us that one 
α
β
logical stage can have many temporally different biological realizations. 
In layman’s terms: moving from Stage 3 to Stage 4 is one kind of development; becoming a more sexually 
mature Stage-3 Archfemale while still remaining Stage 3 is another kind. 
86. Stage constancy is not state identity 
Suppose Aliza is 
 at two different times: 
𝑆𝐹
3
 
𝑆𝐴, 𝑡1
(
) = 𝑆𝐹
3,
 
𝑆𝐴, 𝑡2
(
) = 𝑆𝐹
3.
It does not follow that 
 
𝐵𝐴, 𝑡1
(
) = 𝐵𝐴, 𝑡2
(
).
The correct logical relationship is a non-entailment: 
 
𝑆𝐴, 𝑡1
(
) = 𝑆𝐴, 𝑡2
(
) ⊭ 𝐵𝐴, 𝑡1
(
) = 𝐵𝐴, 𝑡2
(
).
Likewise, 
 
𝑆𝐴, 𝑡1
(
) = 𝑆𝐴, 𝑡2
(
) ⊭ 𝐷𝐴, 𝑡1
(
) = 𝐷𝐴, 𝑡2
(
).
This is the formal core of the user’s stagnation insight. 
87. A set-theoretic representation: each stage is a family of possible realizations 
Let 
 be the set of admissible Archfemale biological states. Define a canonical highest-attained-stage map 
𝐵𝐹
 
σ𝐹: 𝐵𝐹→𝑁≥1.
For every biological state 
, 
 means that 
 is the highest currently attained Archwomanhood 
𝑏∈𝐵𝐹σ𝐹𝑏
( ) = 𝑛
𝑆𝐹
𝑛
order represented by . The state may still satisfy every retained lower-order 
 relation required by the 
𝑏
𝑆𝐹
𝑘
cumulative hierarchy; 
 records the greatest attained order rather than erasing inherited lower orders. 
σ𝐹
The complete collection of biological realizations of Stage is the stage fiber 
𝑛
 
𝐵𝐹,𝑛= σ𝐹
−1 𝑛
( ).
An Archfemale can move from one biological realization to another while staying inside the same fiber: 
 
𝑏1 →𝑏2,   𝑏1, 𝑏2 ∈𝐵𝐹,𝑛,   𝑏1 ≠𝑏2.
That is intrastage development. 
Stage advancement crosses fibers: 
 
𝑏1 ∈𝐵𝐹,𝑛→𝑏2 ∈𝐵𝐹,𝑛+1.

Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:63.