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Unreasonable refers to the violation of a qualitative expectation. For example, When I told my daughter that she would have to go to the doctor, she behaved unreasonably by throwing a temper-tantrum.

Irrational refers to violation of a quantitative or mathematical expectation. For example, Even though war was imminent, the President decided irrationally to disband the army.

There is a lot of crossover between irrational and unreasonable, but at the extremes, those are the differences.

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Q: What is the difference between irrational and unreasonable?
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