Wiktionary
logicless
a. Without logic; alogical or illogical.
Usage examples of "logicless".
In the logicless way of dreams, the grassy field transformed itself into an idyllic playground, with slides and swings and seesaws and toys strewn everywhere.
I am no theologian, but I laugh That men can be so grossly logicless, When war, defensive or aggressive either, Is in its essence pagan, and opposed To the whole gist of Christianity!