non-rational

Short definition from Wiktionary

Adjective

1. 1
   Contrary to reason; lacking an appropriate or sufficient reason; irrational.
2. 2
   Lacking the ability to reason.
3. 3
   Not within the domain of what can be understood or analyzed by reason; outside the competence of the rules of reason.
4. 4
   Not based on one's own interests; inconsistent with utility maximization.