irrational

• Beschreibt Gedanken, Handlungen oder Überzeugungen, die nicht auf Vernunft oder Logik beruhen; auch ohne Vernunft oder Einsicht handelnd.

Describes thoughts, actions, or beliefs that are not based on reason or logic.

1. Not logical or reasonableB2formal

   Not based on reason, logic, or clear thinking; contrary to rational thought.

   Irrational

   • His fear of spiders is completely irrational.
   • She made an irrational decision without considering the consequences.
   • The argument was based on irrational assumptions.

   Synonymeabsurdfoolishillogicalmindlessnonsensicalsenselessunreasonableunthinkingunwise

   Antonymecogentcoherentlogicalrationalreasonablesensiblesound

2. MathematicsC1formalscientific

   A number that cannot be expressed as a simple fraction; not rational.

   Irrational

   • The square root of 2 is an irrational number.
   • Pi is an irrational number with infinite non-repeating decimals.
   • Irrational numbers cannot be written as a ratio of two integers.

   Synonymeincommensurablenonrationalsurd

   Antonymerational

• Substantiv, das eine reelle Zahl bezeichnet, die nicht als Verhältnis zweier ganzen Zahlen dargestellt werden kann, z. B. die Quadratwurzel aus 2 oder die Kreiszahl Pi.

A noun referring to a real number that cannot be expressed as a ratio of two integers, such as the square root of 2 or pi.

1. Irrational numberC1formalscientific

   A real number that cannot be expressed as a ratio of two integers; its decimal representation is non-terminating and non-repeating.

   Irrationale Zahl

   • Pi (π) is an irrational number.
   • The square root of 2 is irrational.
   • Euler's number e is an example of an irrational number.

   Synonymeirrational numbersurd

   Antonymerational