At the action step ℂ⁶ is both domain and codomain, so the endomorphism ℂ⁶ → ℂ⁶ is a tautology at the type level, carrying no information about which operator ρ(σ) is or what it does. That content survives only at the element level, in ρ(σ)·v.
In representation theory, the construction order of a representation is first V = ℂ⁶ (representation space), then GL(V) over this space (its elements operators, operation composition), then the homomorphism ρ : 𝔖₄ → GL(V) is defined. Construction order: ℂ⁶ → GL(V) → ρ.
Composing the two orders shows the application scheme synthesizes two distinct levels: the homomorphism step 𝔖₄ → GL(V), which selects an operator, and the action step GL(V) × ℂ⁶ → ℂ⁶, which applies it. The information sits at the boundary of these two levels.
@samsaraas@alz_zyd_ Oh. I bet she thinks in 3d shapes and can visualize rates of change in patternmaking dependent of the target shapes and sizes. Just a guess
Ni-Fe ego kendi algısını gerçekliğin kendisi sanıyor ve bunun saçmalığının farkında olacak kadar Ti’ı olduğu için Fe ile “başkalarının başka algıları var” yaparak bu durumu telafi ediyor. Ama kendi algısı “başkalarının algılarını algılayan bir algı”, yani bir “üst-gerçeklik”.
Ni-Fe ego kendi algısını gerçekliğin kendisi sanıyor ve bunun saçmalığının farkında olacak kadar Ti’ı olduğu için Fe ile “başkalarının başka algıları var” yaparak bu durumu telafi ediyor. Ama kendi algısı “başkalarının algılarını algılayan bir algı”, yani bir “üst-gerçeklik”.
Defining Cognitive Functions or IM elements in the form of “Fi = ethics,” “Fe = awareness of the external emotional field,” and so on are formally invalid independently of the relationship between the Cognitive Function (or the IM element) and the structure it is paired with.
and then claiming that the underlying structure of the Function or the IM element is that assigned thing on insufficient or incomplete grounding, establishes an “object = function” equivalence without any constraint justifying the identity, and is wrong.
Defining Cognitive Functions or IM elements in the form of “Fi = ethics,” “Fe = awareness of the external emotional field,” and so on are formally invalid independently of the relationship between the Cognitive Function (or the IM element) and the structure it is paired with.
(i.e., without establishing whether Fi is actually related to ethics or not).
Assigning terminology to a Cognitive Function or an IM element solely on the basis of the structures or concepts that Function or an IM element operates on in relation to,
The 4-vector dimensionality framework originates from Model B yet it is commonly used with Model A by mainstream socionics, as an incomplete reduction of Model B which requires mapping the 4 vectors to the IM positions in Model A.