Wiktionary
non-logical
a. (alternative spelling of nonlogical English)
Usage examples of "non-logical".
Caliban and Sycorax seem to have developed methods of information storage and retrieval different from anything on Earth—non-sequential, non-random, I'm tempted to say non-logical.
Thus his actions sidestepped stochasticity and common sense itself: he was unpredictable because he didn't follow discernible patterns, only the script, the sacred and unalterable script, and the script was revealed to him in bursts of non-logical non-sequential insight.