This word is not acceptable for play in the US & UK dictionaries that are being used in the following games:

• Lexulous
• Wordscraper
• Wordosaur

adj. Having no rational characteristics; having no capacity to reason.

adj. Not within the domain of what can be understood or analyzed by reason; outside the competence of the rules of reason.

"Even so, this recent article's explicit study of the persistently dysrational (a better term than "arational" or "dysreasonal") feels like a useful way to reframe the discussion."

non-rational