irrational

Definition of irrational in English English dictionary: Of a real number, that cannot be written as the ratio of two integers
The number π is irrational.; A real number that can not be expressed as the quotient of two integers, an irrational number
the quotient of two irrationals a and b is a rational if and only if there is an integer n>0 and an integer m such that a*n = b*m.; Not rational; unfounded or nonsensical
an irrational decision.; not possessed of reasoning powers or understanding; not consistent with or using reason; "irrational fears"; "irrational animals"; Not according to reason; absurd; foolish; A number that cannot be represented as a decimal or as a fraction A number like pi is irrational because it contains an infinite number of digits that keep repeating, many square roots are irrational numbers; cannot be expressed in the form a/b A number is irrational if it has an infinite number of significant decimal figures that do not follow a pattern; {s} illogical, senseless, lacking reason, absurd; not consistent with or using reason; "irrational fears"; "irrational animals" real but not expressible as the quotient of two integers; "irrational numbers; real but not expressible as the quotient of two integers; "irrational numbers; real but not expressible as the quotient of two integers; "irrational numbers"; Not rational; void of reason or understanding; as, brutes are irrational animals; If you describe someone's feelings and behaviour as irrational, you mean they are not based on logical reasons or clear thinking. an irrational fear of science. = unreasonable rational + irrationally ir·ra·tion·al·ly My husband is irrationally jealous over my past loves. + irrationality ir·ra·tion·al·ity the irrationality of his behaviour. not based on clear thought or reason = unreasonable rational, reasonable reasonable; Not capable of being exactly expressed by an integral number, or by a vulgar fraction; surd; said especially of roots; A number that can be expressed as an infinite decimal with no set of consecutive digits repeating itself indefinitely and that cannot be expressed as the quotient of two integers; That which lies beyond the bounds of what can be comprehended, explained, justified or rejected by human reasoning and science Antonym: rational (q v ) NOTE: Irrational does not mean incorrect or impractical reasoning, but the total absence of any reasoning EP 31-35, 135, 148; HA 19-23, 89,102-04,173,184-87,884884; OG 112-13; "(1) : not endowed with reason or understanding (2) : lacking usual or normal mental clarity or coherence"
irrational number: Any real number that cannot be expressed as a ratio of two integers
irrational numbers: plural form of irrational number
irrational hostility: extreme prejudice
irrational impulse: a strong spontaneous and irrational motivation; "his first impulse was to denounce them"; "the urge to find out got him into trouble
irrational motive: a motivation that is inconsistent with reason or logic
irrational number: Any real number that cannot be expressed as a ratio between two integers. Among the real numbers, any of those that cannot be represented as quotients of integers. In decimal form, irrational numbers are represented by nonterminating, nonrepeating decimals. Examples include square roots of prime numbers and such transcendental numbers as and e
irrational number: a real number that cannot be expressed as a rational number
irrational number: number that cannot be expressed as the ratio of two whole numbers (Mathematics)
irrational numbers: numbers that cannot be represented as a ratio of two integers (Mathematics)
irrationally: In an irrational manner; without reason; in a manner contrary to reason; absurdly
ırrational: {a} void of reason, silly, absurd, surd
irrationality: The quality or state of being irrational
irrationality: Something which is irrational or brought forth by irrational action, judgement, idea or thought
irrationality: the state of being irrational; lacking powers of understanding
irrationality: The quality or state of being irrational; want of the faculty or the quality of reason; fatuity
irrationality: {i} illogic, lack of reason, want of rational thought
irrationally: In an irrational manner
irrationally: in an irrational manner; "they acted irrationally"
irrationally: in an irrational manner; "they acted irrationally
irrationally: illogically, senselessly, without reason, absurdly

irrational

Hyphenation

ir·ra·tion·al

Turkish pronunciation

îräşınıl

Synonyms

aberrant, absurd, brainless, cockamamie, crazy, delirious, demented, disconnected, disjointed, distraught, fallacious, flaky, foolish, freaky, incoherent

Antonyms

logical, rational, reasonable, reflective, sensible, sound, stable

Pronunciation

/əˈrasʜənəl/ /ɪˈræʃənəl/

Etymology

() From ancient Greece circa 500 B.C. "Irrational" originally meant only that a number could not be expressed as a ratio. But for the Pythagoreans it came to mean something threatening--that their world view might not make sense--which is today the other meaning of "irrational." * ir- + rational