Hypergendered Logic Source

Hypergendered Logic — Page 86

HGL Source Framework · Page 86 of 293 · Source: Hypergendered Logic

Layer 3 — HGL states 
Examples: 
SF1,  SF2,  ¬SM2. 
These are outer logical objects built from developmental modes and named states. 
Layer 4 — inherited HGL states 
Examples: 
IHSF1,  IH¬SM1,  IHSF2,  IHIHSF1. 
This layer records source-sensitive inheritance and supplies unbounded recursive depth. Condition-source 
inheritance such as IHx and state-source inheritance such as IHSF2 are kept typed internally even though 
the same readable IH notation is used. 
Layer 5 — PH phenotype-possession profiles 
Examples: 
PH(x AND NOT y), PH(NOT(NOT x AND y)), PH(SF1), and the separate negative profile proposition NOT 
PH(SM1). 
A PH expression asserts irreducible possession of the complete HGL phenotype-profile associated with its 
source. A compound source remains whole-profile irreducible: 
 is not generally reducible to 
𝑃𝐻𝐴∧𝐵
(
)
. Likewise 
 is not the same statement as 
. 
𝑃𝐻𝐴
( ) ∧𝑃𝐻𝐵
( )
𝑃𝐻¬𝑆
(
)
¬𝑃𝐻𝑆
( )
The essential typed boundaries are: 
 
𝑃𝐴: 𝐼𝑛𝑛𝑒𝑟𝐶𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛→𝐷𝑒𝑣𝑒𝑙𝑜𝑝𝑚𝑒𝑛𝑡𝑎𝑙𝑀𝑜𝑑𝑒,
 
𝐼𝐻: 𝐶𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛𝑂𝑟𝐻𝐺𝐿𝑆𝑜𝑢𝑟𝑐𝑒→𝐼𝑛ℎ𝑒𝑟𝑖𝑡𝑒𝑑𝑆𝑜𝑢𝑟𝑐𝑒𝑃𝑟𝑜𝑝𝑒𝑟𝑡𝑦𝑆𝑡𝑎𝑡𝑒,
and 
 
𝑃𝐻: 𝐶𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛𝑂𝑟𝐷𝑒𝑓𝑖𝑛𝑒𝑑𝐻𝐺𝐿𝑆𝑜𝑢𝑟𝑐𝑒→𝑃ℎ𝑒𝑛𝑜𝑡𝑦𝑝𝑒𝑃𝑟𝑜𝑓𝑖𝑙𝑒𝑃𝑜𝑠𝑠𝑒𝑠𝑠𝑖𝑜𝑛𝑆𝑡𝑎𝑡𝑒.
The operators answer different questions: PA asks what anatomy/physiology is necessarily developable due 
to a designated causal basis; IH asks what source-sensitive properties are inherited; PH asks what complete 
phenotype-profile is irreducibly possessed. No conversion among these types is licensed unless a separate 
bridge law is stated. 
137. The revised Stage-1 meanings 
SF1 = PA(x AND NOT y) 
SM1 = PA(NOT x AND y) 
Corrected Stage 1 is PA-only on both sides. Each state contains one irreducibly compound 
developmental-causal basis. There are no constitutive IH, PH, UD, or FD terms at Stage 1. 
This does not remove IH or PH from HGL. It relocates their canonical entry point: Stage 2 inherits the 
Stage-1 whole and the opposite Stage-1 structured non-state, positively possesses the same-side Stage-1 
whole-profile, explicitly excludes the complete opposite Stage-1 profile, makes only the same-side 
predecessor UD, adds standalone PA routes, and denies FD of that same-side predecessor. 
Any earlier sentence claiming that SF1/SM1 themselves inherit x/y conditions or possess two PH profiles is 
superseded.

Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:86.