For any act of directed cognition to happen, three irreducible elements must occur: Distinction, asymmetry, and orientation. Below are there definitions.
Distinction - the recognition that there is a difference between states, between what is and what is not, or between one possibility and another.
Asymmetry - the judgment that one of those states is more adequate, more correct, or more sufficient than the other.
Orientation - the movement of thought toward that which is taken as more adequate, or the stabilization upon it.
If any of these becomes removed from the process, directed cognition disappears. There can be no argument, inquiry, or understanding without all three. What happens after one is removed becomes noise or at best, stillness.
Because of this, this principle cannot be coherently rejected without it being used. To deny this claim, one must first distinguish the claim from its opposite, or treat that denial as more adequate then the claim itself, and then direct thought toward defending it. This structure is already in place before the rejection begins.
I believe this stands as a first principle of intelligible thought. Any act of reasoning no matter how simple or complex it may be, depends on these three categories toward what is taken to be more adequate. This is not a claim of psychology, and it is not an empirical generalization about how our minds function. Instead, it identifies the minimal structure required for reasoning itself to occur.
Every philosophical position must operate within this, whether the philosopher admits it or not. It does not matter which school of thought you belong to because even the rejection of truth or grounding must still involve movement away from what is taken to be insufficient, toward what is taken to be preferable.
Would put this into an Epistemology flair, but there isn't one.