Hypergendered Logic Source

Hypergendered Logic — Page 190

HGL Source Framework · Page 190 of 293 · Source: Hypergendered Logic

This does not turn the categories into percentages. It means that a later category is built on a completed 
earlier category whose defining properties are inherited with provenance preserved. 
Consequently, an Apexfemale can simultaneously be correctly classified as Female, Suprafemale, 
Hyperfemale, Ultrafemale, and Apexfemale, while “Apexfemale” names her current highest attained named 
minor hypercategory. These are nested categorical attainments, not percentages. The male mirror is exact. 
The highest-current-category convention can therefore be written 
 
µ𝐹
𝑚𝑎𝑥𝑎, 𝑡
(
) = 𝑚𝑎𝑥{µ: 𝐶𝑀,µ
𝐹
𝑎, 𝑡
(
)},
when a finite maximum exists inside the current major stage. 
188. The countably many minor hypercategories inside one major stage 
Each major Archwomanhood stage contains an 
 amount of minor hypercategories: 
ℵ0
 
𝐶𝑀,1
𝐹, 𝐶𝑀,2
𝐹, 𝐶𝑀,3
𝐹, ...
and similarly 
 
𝐶𝑀,1
𝑀, 𝐶𝑀,2
𝑀, 𝐶𝑀,3
𝑀, ....
The first four have names. The later finite-indexed categories can remain symbolically indexed until names 
are invented. 
The limit of the minor-category index is 
 
µ = ω.
At that limit, HGL stipulates a transition into the next major stage rather than treating as merely another 
ω
ordinary finite minor category. 
A convenient boundary notation is 
 
𝑀𝑎𝑗𝑜𝑟𝐵𝑜𝑢𝑛𝑑𝑎𝑟𝑦𝑀
𝐹 : = 
µ
ω
lim
→
𝐶𝑀,µ
𝐹,
with the transition rule 
 
𝑀𝑎𝑗𝑜𝑟𝐵𝑜𝑢𝑛𝑑𝑎𝑟𝑦𝑀
𝐹→𝐶𝑀+1,1
𝐹
(
)
1
.
The male mirror is exact. 
The arrow is intentionally used rather than an unrestricted logical equivalence. The major-stage boundary is 
intended to be a higher-order developmental reorganization. A future edition may choose an exact identity 
convention, but the current safe rule is a canonical transition into the next major stage. 
189. Cardinal size versus hyperdimensional address structure of one major stage 
A useful mathematical deduction survives the SIH revision, but its interpretation changes because a higher 
minor category is not one flat ordinal block. 
Assume each active coordinate axis has cardinality aleph_omega and each adopted dimensional-order 
domain has cardinality no greater than aleph_omega. Then a Hyper/Ultra/Apex minor category can contain 
aleph_omega many canonical coordinate-addresses even though those addresses have a much richer 
multidimensional organization. A major stage containing aleph-null many such minor categories still has 
cardinality aleph_omega under ordinary infinite-cardinal multiplication.

Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:190.