Entry 1 sense Webster, 1913 irrationality /ĭrˌ-ăshˌ-ən-ăl'-ət-ē/ · ir·ra·tion·al·i·ty · IPA /ɪˌɹæʃ.əˈnæl.ə.ti/ 01 n. The quality or state of being irrational; absence of rationality. 1. The quality or state of being irrational; absence of rationality.