Attempts to resolve the Quandary:
4
They were barbarians of such asperity as to leave us shocked and dismayed at the complete absence of civility and disregard for our essential belief in the noetic journey of mankind; but when they burned our texts, murdered our scholars and left our culture striped and riven like a savaged karst it was clear that this was the end time and no accord would ever be possible with these bloodthirsty Conquistadors, with their heinous weapons, and that thing they called a horse. (by gumo420)
3
All hope of reducing his neighbor's usual asperity (certainly not by any remotely noetic means) gone, Prafuchandra nevertheless, in accord with his daily routine, set out clad in his spelunking gear into the mouth of the labyrinthine karst complex beneath the neighborhood homes, intent on at last finding his lost dog. (by tree)
2
His forearms and his temper rubbed raw by the asperity of the calcium carbonate surfaces, he decided to forego his characteristic noetic approach to problem-solving and trust instead to his gut feelings to show him a way out of this labyrinth of underground caves in which he had been deposited (through a sinkhole!) three days earlier in a way that was in humiliating accord with everything he knew perfectly well about karst topography. (by cusheamus)
1
"No, we are not in complete noetic accord, numbskull, " he retorted with increased asperity, puncturing my confidence; "your standpoint is untenable, your premise inchoate, your pronouncements asinine - the whole preposterous shebang as riddled with holes as a Jarlsberg cheese floating in a colander beneath a karst doline . . . or must I explain even the simile, dumbass?" (by Bud Myte)

5
After the death of his longtime companion, Professor Hanson retreated into the caverns of his abstract intellect, losing himself in noetic karst, forsaking whatever accord he had reached with the physical world, and responding to its inhabitants with startling asperity. (by Rudi)