Hypergendered Logic Source

Hypergendered Logic — Page 64

HGL Source Framework · Page 64 of 293 · Source: Hypergendered Logic

The male system is symmetric: 
 
σ𝑀: 𝐵𝑀→𝑁≥1,
 
𝐵𝑀,𝑛= σ𝑀
−1 𝑛
( ).
This representation makes the theory unusually clear: a stage is an equivalence-class-like region of 
biological state-space, not a single frozen phenotype. 
88. Temporary Archstage stagnation 
Temporary stagnation means that the stage remains constant over a finite interval 
: 
𝐼= 𝑡1, 𝑡2
[
]
 
𝑆𝑡𝑎𝑔𝐹𝑎, 𝐼, 𝑛
(
) ⇔∀𝑡∈𝐼,  𝑆𝑎, 𝑡
(
) = 𝑆𝐹
𝑛.
The male definition is 
 
𝑆𝑡𝑎𝑔𝑀𝑎, 𝐼, 𝑛
(
) ⇔∀𝑡∈𝐼,  𝑆𝑎, 𝑡
(
) = 𝑆𝑀
𝑛.
Temporary stagnation does not contain the premise 
 
∀𝑡∈𝐼,  𝐷𝑎, 𝑡
(
) = 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡,
and it does not contain the premise 
 
∀𝑡∈𝐼,  𝐵𝑎, 𝑡
(
) = 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡.
Therefore neither conclusion can be extracted by logic alone. 
A simple countermodel proves the point. Let Aliza remain 
 for twelve months while her maturity state 
𝑆𝐹
3
changes from 
 to 
. Then all stage-stagnation premises are true while the proposition “her maturity 
𝐷1
𝐷2
stayed unchanged” is false. Hence the latter is not entailed by the former. 
89. Permanent Archstage stagnation 
Permanent stagnation beginning at is 
𝑡0
 
𝑃𝑒𝑟𝑚𝑆𝑡𝑎𝑔𝐹𝑎, 𝑡0, 𝑛
(
) ⇔∀𝑡≥𝑡0,  𝑆𝑎, 𝑡
(
) = 𝑆𝐹
𝑛.
Symmetrically, 
 
𝑃𝑒𝑟𝑚𝑆𝑡𝑎𝑔𝑀𝑎, 𝑡0, 𝑛
(
) ⇔∀𝑡≥𝑡0,  𝑆𝑎, 𝑡
(
) = 𝑆𝑀
𝑛.
Again, the only variable held fixed by definition is the stage. Permanent stagnation says nothing by itself 
about whether puberty continues, whether already-existing Archgendered structures mature, whether 
age-related changes occur, whether tissue remodeling occurs, or whether other biological processes 
continue. 
There is also an epistemic distinction. During an observed plateau, a finite observer may know only that the 
stage has so far remained constant. Calling the plateau temporary requires that a later higher stage actually 
occurs; calling it permanent requires that no later stage ever occurs. Therefore “temporary” versus 
“permanent” is partly a statement about the future trajectory, not merely the current snapshot. A current 
observation of 
 plus several months of no change does not, by itself, logically reveal which kind of 
𝑠𝐹= 𝑛
stagnation the person is in. 
It is therefore invalid to infer

Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:64.