different between arbitrary vs irrational

English

Etymology

From Middle English arbitrarie, Latin arbitr?rius (“arbitrary, uncertain”), from arbiter (“witness, on-looker, listener, judge, overseer”).

Pronunciation

• (Received Pronunciation) IPA^(key): /???.b?.t??.?i/, /???.b?.t?i/
• (US, Canada) IPA^(key): /???.b?.t??(?).?i/

Adjective

arbitrary (comparative more arbitrary, superlative most arbitrary)

1. (usually of a decision) Based on individual discretion or judgment; not based on any objective distinction, perhaps even made at random.

2. Determined by impulse rather than reason; heavy-handed.
   • 1937/1938, Albert Einstein, letter to Max Born

   • 1906, Gelett Burgess, Are You a Bromide?

3. (mathematics) Any, out of all that are possible.

4. Determined by independent arbiter.
5. (linguistics) Not representative or symbolic; not iconic.

Derived terms

Related terms

Translations

Noun

arbitrary (plural arbitraries)

1. Anything arbitrary, such as an arithmetical value or a fee.

Further reading

• arbitrary in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
• arbitrary in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
• arbitrariness on Wikipedia.Wikipedia

English

Etymology

From Latin irrati?n?lis, from ir- + rati?n?lis.

Pronunciation

• enPR: ?r?'sh(?)n?l, IPA^(key): /???æ?.(?.)n?l/

Adjective

irrational (comparative more irrational, superlative most irrational)

1. Not rational; unfounded or nonsensical.
   • July 18, 2012, Scott Tobias, AV Club The Dark Knight Rises[1]

     Where the Joker preys on our fears of random, irrational acts of terror, Bane has an all-consuming, dictatorial agenda that’s more stable and permanent, a New World Order that’s been planned out with the precision of a military coup.

2. (mathematics, arithmetic, number theory, not comparable) Of a real number, that cannot be written as the ratio of two integers.

   Antonym: rational

   Hyponym: transcendental

Derived terms

Translations

Noun

irrational (plural irrationals)

1. A real number that can not be expressed as the quotient of two integers, an irrational number.
   • 1946, Bertrand Russell, History of Western Philosophy, I.24:

     The square root of 2, which was the first irrational to be discovered, was known to the early Pythagoreans, and ingenious methods of approximating to its value were discovered.

Translations

German

Alternative forms

• irrationell

Pronunciation

• IPA^(key): /???at?si?ona?l/, /??at?si?o?na?l/

Adjective

irrational (comparative irrationaler, superlative am irrationalsten)

1. irrational

Declension