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Multiple Meanings

Irrational thoughts started swimming through his mind—he wanted to jump up and attack, beat him like he’d beaten Gaily after escaping the Maze.
James Dashner  --  The Scorch Trials
not rational; i.e., lacking reason

More rarely, irrational numbers in mathematics are numbers that cannot be expressed as a fraction consisting of only an integer in the numerator and denominator. For example, pi is an irrational number while 1/3 is rational.
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