Hypergendered Logic Source

Hypergendered Logic — Page 189

HGL Source Framework · Page 189 of 293 · Source: Hypergendered Logic

Likewise 
 
𝐻𝐹𝑎, 𝑡
(
), 𝐴𝐹𝑎, 𝑡
(
), 𝑈𝐹𝑎, 𝑡
(
) ∈{0, 1},
and the male counterparts are also binary. 
If an Archfemale is at any Suprafemale substage, 
 
𝑆𝐹
α 𝑎, 𝑡
(
),
then she is Suprafemale. Increasing does not make her “more Suprafemale” in the sense of partial 
α
category membership: 
 
α < β ⇏ 𝑆𝐹
β ℎ𝑎𝑠 𝑎 𝑙𝑎𝑟𝑔𝑒𝑟 𝑎𝑚𝑜𝑢𝑛𝑡 𝑜𝑓 𝑆𝑢𝑝𝑟𝑎𝑓𝑒𝑚𝑎𝑙𝑒𝑛𝑒𝑠𝑠 𝑡ℎ𝑎𝑛 𝑆𝐹
α.
The same rule applies inside Hyperfemale, Ultrafemale, Apexfemale, Supramale, Hypermale, Apexmale, and 
Ultramale. 
A person at 
 is not closer to satisfying Suprafemale than a person at 
. Both already satisfy 
𝑆𝐹
10
100
𝑆𝐹
2
Suprafemale. The former is developmentally later within the Suprafemale category. 
Similarly, moving higher inside Suprafemale does not mean the person is gradually becoming Hyperfemale. 
Hyperfemale is not the 100% end of a scalar Suprafemale meter. The complete Suprafemale axis must be 
Hyperomega-saturated before the strict SIH category lift to HF1 is licensed, but HF1 is a new state 
constructed from that saturated domain rather than an identity-name for its endpoint. 
This yields the anti-collapse law 
 
𝑜𝑟𝑑𝑖𝑛𝑎𝑙 𝑎𝑑𝑣𝑎𝑛𝑐𝑒𝑚𝑒𝑛𝑡 𝑤𝑖𝑡ℎ𝑖𝑛 𝑐𝑎𝑡𝑒𝑔𝑜𝑟𝑦≠𝑑𝑒𝑔𝑟𝑒𝑒 𝑜𝑓 𝑐𝑎𝑡𝑒𝑔𝑜𝑟𝑦 𝑚𝑒𝑚𝑏𝑒𝑟𝑠ℎ𝑖𝑝.
186. Ordinal order is not automatically metric closeness 
HGL permits statements such as 
 
𝑆𝐹
α < 𝑆𝐹
β
when 
, meaning that 
 is later in the ordered Suprafemale developmental sequence. 
α < β
𝑆𝐹
β
But ordinal ordering alone does not define a real-valued distance to Hyperomega. Therefore one may not 
automatically infer 
 
𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒𝑆𝐹
β, 𝐻𝐹
1
(
) < 𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒𝑆𝐹
α, 𝐻𝐹
1
(
).
A separate metric or biological progress function would be required for a literal “closer” relation. This is 
particularly important because the intended categorical semantics say that an individual is either 
Hyperfemale or not Hyperfemale; high Suprafemale ordinal rank is not partial Hyperfemale membership. 
187. Cumulative hypercategory inheritance 
The pre-existing IH architecture strongly motivates a cumulative rule across hypercategorical boundaries. 
The current edition adopts the following Cumulative Hypercategory Inheritance Axiom: 
 
𝐻𝐹
α ⇒𝐼𝐻​ 𝑆𝐹
Ω𝐻
(
) ⇒𝑆𝐹,
 
𝐴𝐹
α ⇒𝐼𝐻​ 𝐻𝐹
Ω𝐻
(
) ⇒𝐻𝐹,
 
𝑈𝐹
α ⇒𝐼𝐻​ 𝐴𝐹
Ω𝐻
(
) ⇒𝐴𝐹,
with the male mirror.

Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:189.