Hypergendered Logic Source

Hypergendered Logic — Page 70

HGL Source Framework · Page 70 of 293 · Source: Hypergendered Logic

•​
 is Hypergendered stage; 
𝑆𝑡
( )
•​
 is developmental/maturity state; 
𝐷𝑡
( )
•​
 represents relevant environment or other concurrent biological inputs; 
𝐸𝑡
( )
•​
 represents developmental history; 
𝐻𝑡
( )
•​
 is the resulting biological realization. 
𝐵𝑡
( )
Suppose 
 
𝑆𝑡1
( ) = 𝑆𝑡2
( ) = 𝑆𝐹
4,
but 
 
𝐷𝑡1
( ) ≠𝐷𝑡2
( ).
Then there is no reason to expect 
 
Φ 𝑆𝐹
4, 𝐷𝑡1
( ), 𝐸𝑡1
( ), 𝐻𝑡1
( )
(
) = Φ 𝑆𝐹
4, 𝐷𝑡2
( ), 𝐸𝑡2
( ), 𝐻𝑡2
( )
(
).
Holding one causal input fixed does not hold the entire function fixed when other inputs change. 
This is the causal analogue of the logical non-entailment. 
102. Interaction terms make maturity-stage combinations potentially important 
If is nonlinear, the stage can interact with maturity rather than merely add to it. Schematically, 
Φ
 
𝐵= 𝑎𝑆+ 𝑏𝐷+ 𝑐𝑆× 𝐷
(
) +···.
The term 
 
𝑐𝑆× 𝐷
(
)
means that the effect of being 
 can depend on the person’s maturity state, and the effect of maturation 
𝑆𝐹
𝑛
can depend on which 
 is occupied. 
𝑆𝐹
𝑛
Thus an 
 structure could develop one way before puberty, another way during puberty, and another way 
𝑆𝐹
5
after sexual maturity without the person ever leaving 
. 
𝑆𝐹
5
This is a causal possibility, not a logical theorem about exact phenotypes. It is nevertheless an important 
inference because it shows why keeping stage and maturity separate does not make them causally isolated. 
103. Orthogonal does not mean causally unrelated 
When this document calls stage and maturity “distinct axes,” it means they are not definitionally identical. It 
does not mean they can never influence each other. 
Three different theoretical relationships are possible: 
1.​
Independent: changes in one do not causally influence the other. 
2.​
One-way coupled: stage influences maturation or maturation influences stage. 
3.​
Two-way coupled: each can alter the development of the other. 
The new canon establishes only the anti-collapse rule: 
 
𝑠𝑡𝑎𝑔𝑒 𝑠𝑡𝑎𝑔𝑛𝑎𝑡𝑖𝑜𝑛 ⇏ 𝑑𝑒𝑣𝑒𝑙𝑜𝑝𝑚𝑒𝑛𝑡𝑎𝑙 𝑎𝑟𝑟𝑒𝑠𝑡.
It does not force a complete causal-independence thesis.

Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:70.