Let’s stay on-topic, m’kay?
The problem with this notion of Irrationality, is that mankind cannot escape his Subjectivity easily. Most humans are not even aware of the difference of their subjective perception/consciousness versus what could possibly be “objective”. Take iambiguous as an example of this. So how can any Objectivity be translated to the subjective mind, to Man? I think the first attempt to make sense of Objectivity is to make sense of what you are Not. So the subjective-mind (Man) must begin thinking in Negatives. Not what “Is” about existence and himself, but what is Not himself nor existence. In other words, you have to “make sense” of foreign things/objects/subjects. Man compares himself with other life forms, other psychologies. In this, he begins to understand his own psychology/subjectivity, but not his own objectivity.
This is the point where rationale becomes irrational. You cannot “make sense of” a rock, a drop of water, a breeze of wind. Consciousness presumes itself where it does not belong, understanding what cannot be understood. Consciousness cannot “negate itself”. Once you have it, or gain it (Recognition), then you can’t get rid of it. You cannot erase what once was. This is what “Existence” is, a state of permanence “outside oneself”. It is theoretical in the sense that its possibility and recognition cannot become apprehended by the conscious-mind. Objectivity/Existence, or “objective existence”, is literally and physically “outside your conscious mind”. It is Unknown. It is a psychological limit, Epistemologically limited. Yet, it makes common sense to understand and know, that something that once was, cannot be destroyed, erased, or “removed from reality”.
You can forget the world. You can close your eyes to it. You can fall asleep, go unconscious. You can attempt to deny its existence. But nothing subjective impacts the objective. No amount of wishing or fantasy, ignorance, “erases the thing”. Existence (Physics/Body) is before Essence (Mind). Existence is the foundation of Essence, not the other way around.
This is the exact opposite mentality of all major world religions, and humanity in general. It is “opposite thinking”. So one looks Irrational to the other. Neither can make sense of the other, until this fallacy, this barrier is crossed. Abrahamism/Christianity/Judaism/Islam all need to presuppose, “predetermine” the Essence or Soul of things, of matter/physics/existence, so as to maintain their worldview/metaphysics/mysticism. This is what Atheists claim is the “God of the Gaps” fallacy, to continually posit the existence of a “smaller thing” (Monadology) “underneath” everything that can become known to man. So existence becomes Unproveable, along with Unknown.