@faeruss, I like this. It's so clean and lines up so beautifully (a tear little falls). I work from the assumption that if we are seeing something real, that we wouldn't be the first to see it, and the categories (quadras, EQs, J/P dichotomies) would recur worldwide. This is the first time I've seen kinds of knowledge linked to quadras, but I like it a lot. It's possible we have access to all ways of knowing but view some as being more certain. Both quadra and EQ may correlate to these four kinds of knowing.
 

I think so, too, Fae. I was originally going to toss an idea out there, but I thought maybe I should learn more about the types of knowledge first. Roughly, however, we could say:
 
Je - Techne
Ji - Gnosis
Pi - (Epistime? Works in tandem with techne, it seems.)
The idea of noesis is a bit trickier. It seems to have to do with attention and awareness, but I wouldn't say in a sole-Pe fashion, though "awareness" and "intuition" both fit Pe (Wikipedia).

@faeruss, do have a good source? Wikipedia doesn't explain the concepts very thoroughly. I'm also curios to see what other ways of knowing the Greeks had. This seems like the right direction. I bet if we dig through the literature, we'll see idioms that describe physical characteristics associated with these ("good head on her shoulders"). I really like the recent Psalm quote you posted.
(P.S My post above - the idea that core truths and pieces of reality will be seen again and again in many cultures - illustrates the Ne "many eyes" we speak of and Si "veracity through history.")

I would have thought Delta was "Scientism" thus focused on facts - like "The capital of France is Paris" - due to SiTe being mixed together - and the historical component of Si - whereas Gamma was more focused on "learning by doing" because this is what you get with Se and Te.  Gamma is not so much about 'this fact and that fact,' but more about 'if you haven't actually done the thing, then you can't know it.' Se is experiential.
If Alpha is the kind of knowing where you "step outside of it," then Delta would be one step away if it was the kind of knowing where you "learn the factual information." The direct opposite of stepping outside and looking at it from outside, is experiencing it and doing it yourself, being viscerally and physically involved in the action of it. So this would be Gamma which has Se, and most distant from Alpha.  Whereas knowledge of 'facts' is still closer to stepping outside of something. And I see this kind of fact-oriented approach with Delta in general.  (And me phrasing it that way is me saying "I've experienced it this way, so I know.")
To me, Beta would be associated with Noesis indeed, because it's a kind of 'societal' truth, Fe-Se... whereas Gamma would be associated with Techne because it's an 'I learned it by doing it' truth which is more Te-Se. Those are also closely related. Whereas Delta and Beta, in this model, would be direct opposites, because one is focused on science and information while one is focused on the experience of society, which is the difference between Te-Si and Fe-Ni.  Ne would be about discovering NEW information and setting up scientific methods to discover NEW facts, so it's less static than just 'memorizing them.'

To learn, we must not allow ideas to remain exterior to us, but fuse with them until they become part of our existence. When this is done and our dispositions correspond, the soul is able to formulate and make use of them. It comprehends now what it merely contained before.

Plotinus -- The Enneads