Taoism identifies the generative principle or dynamic, as fundamenrally non-conceptual:
"The Tao that can be told is not the eternal Tao;
The name that can be named is not the eternal name.
The nameless is the beginning of heaven and earth.
The named is the mother of ten thousand things."
-Tao Te Ching
Nagarjuna, probably the most defining philosopher of Mahayana thought, expressed Buddhist non-dualism like this:
"To think ‘it is,’ is eternalism,
To think ‘it is not,’ is nihilism:
Being and non-being, The wise cling not to either."
—The Fundamental Verses of the Middle Way
Discussed in relation to Western philosophical tactics here Nagarjuna uses the catuskoti tetralemma to reject all views, including the view of rejecting all views.
The consonance of Daoist & Zen ideas can be seen in the lines by Seng Ts'an, the Third Chinese Patriarch of Zen:
"The Great Way is not difficult for those who have no preferences.
When love and hate are both absent, everything becomes clear and
Make the smallest distinction, however, and heaven and
earth are set infinitely apart.
If you wish to see the truth, then
hold no opinions for, or against, anything.
To set up what you like
against what you dislike is the disease of the mind.
When the deep
meaning of things is not understood, the mind's essential peace is
disturbed to no avail."
-from the poem Hsinhsinming (verses on Faith in Mind)
For a Western audience, I would tentatively describe this as a type of mystic practice, directing attention to experiences over ideas - and specifically directly experiencing enlightenment, as a non-dual state ("No ignorance and also no extinction of it,
and so forth until no old age and death and also no extinction of them" as the Heart Sutra puts it), as part of what many consider the defining creed of Zen:
A direct transmission outside the Scriptures,
Not dependent on words and letters,
Directly pointing to one's own mind
Seeing into one's own nature.
-attributed to Bodhidharma, but thought by scholars to be from much later.
The word 'shaman' is thought to derive from 'sramana', Sanskrit for a usually Buddhist ascetic hermit or wanderer. Some Zen Transmission Of The Lamp texts describe encounters with basically shamans (probably wuist practicioners of Chinese folk religion), and a strand of Zen can be described as reacting dialogically or synchretising with their roles/acts.