Wiktionary
nonlogical
a. Not logical; not pertaining to logic.
Usage examples of "nonlogical".
Whenever two tribes met, in the history of Station Seventeen, they were all too intelligent to suffer from xenophobia or other nonlogical motivations to murder, and certainly they had no logical reason to fight.
Human societiesall of themwere somehow structured in a nonlogical, non-mathematical way.
Most of the novel shows, in nonlogical fashion, its characters euphorically immersed in the mood, atmosphere, and feelings generated by the brand-name goods of a consumerist society.