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Longman Dictionary of Contemporary English
illogical
adjective
EXAMPLES FROM OTHER ENTRIES
▪ Because we do not know what death is, it is illogical to fear it.
▪ English has plenty of illogical spelling rules.
▪ I found some of his arguments totally illogical.
▪ It is illogical to sell stocks and shares when their value is low.
▪ Listen to your child's worries and fears, however illogical they may seem.
▪ The current rules are illogical and unnecessary.
EXAMPLES FROM CORPUS
▪ Behavioral approaches tend to explain, teach, and introduce logic to an illogical situation.
▪ He carries on with his illogical druggy spew, obviously telling a tragic story by the look on his face.
▪ It's not just illogical, it's absolutely ludicrous.
▪ It was illogical, but she had a premonition that Officer Hassan's instinct would prove correct.
▪ Just because a thing appears to us at present to be illogical does not, of necessity, disprove its validity.
▪ No good intention, however illogical, must be lost at this stage.
▪ Taken together, these children are a proof of the illogical statement that boys are good in math and girls are not.
▪ This is an illogical, nay, fanciful urge since I have never really heard them.
The Collaborative International Dictionary
Illogical

Illogical \Il*log"ic*al\, a. Ignorant or negligent of the rules of logic or correct reasoning; as, an illogical disputant; contrary of the rules of logic or sound reasoning; as, an illogical inference. -- Il*log"ic*al*ly, adv. -- Il*log"ic*al*ness, n.

Douglas Harper's Etymology Dictionary
illogical

1580s, from assimilated form of in- (1) "not, opposite of" + logical. Related: Illogically.

Wiktionary
illogical

a. Contrary to logic; lacking sense or sound reasoning.

WordNet
illogical
  1. adj. lacking in correct logical relation [syn: unlogical] [ant: logical]

  2. lacking orderly continuity; "a confused set of instructions"; "a confused dream about the end of the world"; "disconnected fragments of a story"; "scattered thoughts" [syn: confused, disconnected, disjointed, disordered, garbled, scattered, unconnected]

Usage examples of "illogical".

I was kicking myself for my illogical fears, until I noticed Alicia also peering out at the Beanstalk, as though trying to see past the clutter of equipment there to the cable itself.

It is a practical, but rather illogical, device to prevent duplication of tax burdens on vehicles in transit.

Freud banned hypnotism from his system of psychotherapy and, as an entirely illogical consequence of this ban, hypnotism came to be largely neglected in surgery and general medicine, where it is of such inestimable value as a nonpoisonous anesthetic, as a raiser of resistance to infection, as an improver of morale, as a promoter of healing and an accelerator of convalescence.

Her hands flew like nightbirds illustrating her points, which were, as far as Colin could tell, excellently dramatized illogical poppycock.

I inveigh against illogical beliefs and say that the mortal dreads are the ones that drive you to crazy beliefs in Scientology, est, the power of dope, hatred of elitism and intellectual pursuits, astrology, messiahs like Sun Myung Moon or Jim Jones, fundamentalist religions.

But after such a long journey in its womblike interior, Carole felt an illogical fondness for the ship.

But that seemed illogical, for there was the fact of the suicide note and the overdose of barbit­uates Salsbury had taken before throwing himself in the river in his melodramatic method of ending it all.

He'd laughed at her, and with his intimate knowledge of the faith he was able to damagingly ridicule its most illogical tenets.

If he had accepted the Equalization of Opportunity Bill, if he had accepted Directive 10-289, if he had accepted the law that those who could not equal his ability had the right to dispose of it, that those who had not earned were to profit, but he who had was to lose, that those who could not think were to command, but he who could was to obey them—then were they illogical in believing that they existed in an irrational universe?

Resentment of the Federation for an unforeseen, accidental error seemed equally illogical to him.

These thoughts drove him to the contemplation of his own wife, and he became afraid that news of Urania's death in childbirth might have an adverse effect upon her, so he devised an illogical plan for suppressing the news.

He had sulked for a while after Ralph spiked his vision of wallowing in pure London Merck for the rest of the day, but he accepted it as just another one of those illogical flare-ups that come with the territory.

No sensible robot would envy human fragility, or human incapacity to withstand mild changes in the environment, or human need for sleep, or aptitude for the trivial mistake, or tendency to infectious and degenerative disease, or incapacitation through illogical storms of emotion.

It was illogical to spare draught animals which might be invaluable to the French for fear of hitting wounded men who might recover and again be active enemies, but it was the convention of war, deriving its absurdity from war itself.

Those who pride themselves on tolerance and call us exclusivists, judgmental, unloving, and shrill are illogical to the point of absurdity.