irrationality

• Zustand oder Eigenschaft, irrational zu sein; Mangel an Vernunft, Logik oder Verständnis.

The state or quality of being irrational; lack of reason or understanding.

1. Quality of being unreasonableB2formal

   The condition or quality of being illogical, unreasonable, or lacking rational thought or understanding.

   Irrationalität

   • His irrationality made it impossible to discuss the issue calmly.
   • The decision was criticized for its sheer irrationality.
   • She couldn't understand the irrationality of his fears.

   Synonymeabsurdityillogicalityillogicalnesssenselessnessunreason

   Antonymelogicrationalityreasonablenesssanity

2. Mathematical propertyC1formalscientific

   The property of a number that cannot be expressed as a ratio of two integers.

   Irrationalität

   • The proof demonstrates the irrationality of the square root of two.
   • The irrationality of π was established centuries ago.
   • Students often struggle with the concept of irrationality in numbers.

   Antonymerationality