Definition of non-rational:
(adj) :
Contrary to reason; lacking an appropriate or sufficient reason; irrational.
(adj) :
Lacking the ability to reason.
(adj) :
(often philosophy) Not within the domain of what can be understood or analyzed by reason; outside the competence of the rules of reason.
(adj) :
(economics, social sciences, public policy) Not based on one's own interests; inconsistent with utility maximization.