irrational
English
Etymology
From Latin irratiōnālis, from ir- + ratiōnālis.
Pronunciation
- enPR: ĭră'sh(ə)nəl, IPA(key): /ɪˈɹæʃ.(ə.)nəl/
Audio (RP) (file) - Rhymes: -æʃənəl
Adjective
irrational (comparative more irrational, superlative most irrational)
- Not rational; unfounded or nonsensical.
- an irrational decision
- July 18, 2012, Scott Tobias, AV Club The Dark Knight Rises
- 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.
- (mathematics, arithmetic, number theory, not comparable) Of a real number, that cannot be written as the ratio of two integers.
- The number π is irrational.
- Antonym: rational
- Hyponyms: transcendental, uncomputable
Derived terms
- irrationality
- irrationalization
- irrationalize
- irrational number
Collocations
nouns
- irrational fear
- irrational belief
- irrational behavior
- irrational thought
- irrational thinking
- irrational urge
- irrational anger
- irrational jealousy
- irrational desire
- irrational hope
- irrational exuberance
- irrational feeling
- irrational person
- irrational system
adverbs
- completely irrational
- utterly irrational
- wholly irrational
- seemingly irrational
- totally irrational
- quite irrational
- too irrational
Translations
unfounded or nonsensical
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mathematics: of a number
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- The translations below need to be checked and inserted above into the appropriate translation tables. See instructions at Wiktionary:Entry layout § Translations.
Translations to be checked
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Noun
irrational (plural irrationals)
- 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.
- 1946, Bertrand Russell, History of Western Philosophy, I.24:
Translations
irrational number
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Further reading
- irrational at OneLook Dictionary Search
- “irrational”, in Merriam-Webster Online Dictionary
- “irrational”, in The American Heritage Dictionary of the English Language, 5th edition, Boston, Mass.: Houghton Mifflin Harcourt, 2016, →ISBN.
- “irrational”, in Collins English Dictionary.
- “irrational” (US) / “irrational” (UK) in Macmillan English Dictionary.
German
Alternative forms
- irrationell
Pronunciation
- IPA(key): /ˈɪʁat͡si̯onaːl/, /ɪʁat͡si̯oˈnaːl/
Audio (file)
Adjective
irrational (strong nominative masculine singular irrationaler, comparative irrationaler, superlative am irrationalsten)
- irrational
Declension
Positive forms of irrational
number & gender | singular | plural | |||
---|---|---|---|---|---|
masculine | feminine | neuter | all genders | ||
predicative | er ist irrational | sie ist irrational | es ist irrational | sie sind irrational | |
strong declension (without article) | nominative | irrationaler | irrationale | irrationales | irrationale |
genitive | irrationalen | irrationaler | irrationalen | irrationaler | |
dative | irrationalem | irrationaler | irrationalem | irrationalen | |
accusative | irrationalen | irrationale | irrationales | irrationale | |
weak declension (with definite article) | nominative | der irrationale | die irrationale | das irrationale | die irrationalen |
genitive | des irrationalen | der irrationalen | des irrationalen | der irrationalen | |
dative | dem irrationalen | der irrationalen | dem irrationalen | den irrationalen | |
accusative | den irrationalen | die irrationale | das irrationale | die irrationalen | |
mixed declension (with indefinite article) | nominative | ein irrationaler | eine irrationale | ein irrationales | (keine) irrationalen |
genitive | eines irrationalen | einer irrationalen | eines irrationalen | (keiner) irrationalen | |
dative | einem irrationalen | einer irrationalen | einem irrationalen | (keinen) irrationalen | |
accusative | einen irrationalen | eine irrationale | ein irrationales | (keine) irrationalen |
Comparative forms of irrational
number & gender | singular | plural | |||
---|---|---|---|---|---|
masculine | feminine | neuter | all genders | ||
predicative | er ist irrationaler | sie ist irrationaler | es ist irrationaler | sie sind irrationaler | |
strong declension (without article) | nominative | irrationalerer | irrationalere | irrationaleres | irrationalere |
genitive | irrationaleren | irrationalerer | irrationaleren | irrationalerer | |
dative | irrationalerem | irrationalerer | irrationalerem | irrationaleren | |
accusative | irrationaleren | irrationalere | irrationaleres | irrationalere | |
weak declension (with definite article) | nominative | der irrationalere | die irrationalere | das irrationalere | die irrationaleren |
genitive | des irrationaleren | der irrationaleren | des irrationaleren | der irrationaleren | |
dative | dem irrationaleren | der irrationaleren | dem irrationaleren | den irrationaleren | |
accusative | den irrationaleren | die irrationalere | das irrationalere | die irrationaleren | |
mixed declension (with indefinite article) | nominative | ein irrationalerer | eine irrationalere | ein irrationaleres | (keine) irrationaleren |
genitive | eines irrationaleren | einer irrationaleren | eines irrationaleren | (keiner) irrationaleren | |
dative | einem irrationaleren | einer irrationaleren | einem irrationaleren | (keinen) irrationaleren | |
accusative | einen irrationaleren | eine irrationalere | ein irrationaleres | (keine) irrationaleren |
Superlative forms of irrational
number & gender | singular | plural | |||
---|---|---|---|---|---|
masculine | feminine | neuter | all genders | ||
predicative | er ist am irrationalsten | sie ist am irrationalsten | es ist am irrationalsten | sie sind am irrationalsten | |
strong declension (without article) | nominative | irrationalster | irrationalste | irrationalstes | irrationalste |
genitive | irrationalsten | irrationalster | irrationalsten | irrationalster | |
dative | irrationalstem | irrationalster | irrationalstem | irrationalsten | |
accusative | irrationalsten | irrationalste | irrationalstes | irrationalste | |
weak declension (with definite article) | nominative | der irrationalste | die irrationalste | das irrationalste | die irrationalsten |
genitive | des irrationalsten | der irrationalsten | des irrationalsten | der irrationalsten | |
dative | dem irrationalsten | der irrationalsten | dem irrationalsten | den irrationalsten | |
accusative | den irrationalsten | die irrationalste | das irrationalste | die irrationalsten | |
mixed declension (with indefinite article) | nominative | ein irrationalster | eine irrationalste | ein irrationalstes | (keine) irrationalsten |
genitive | eines irrationalsten | einer irrationalsten | eines irrationalsten | (keiner) irrationalsten | |
dative | einem irrationalsten | einer irrationalsten | einem irrationalsten | (keinen) irrationalsten | |
accusative | einen irrationalsten | eine irrationalste | ein irrationalstes | (keine) irrationalsten |