irrational

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ir·ra·tion·al

(i-rash'ŭn-ăl),
Not rational; unreasonable (contrary to reason) or unreasoning (not exercising reason).
[L. irrationalis, without reason]

irrational

(ĭ-răsh′ə-nəl)
adj.
a. Not endowed with reason.
b. Affected by loss of usual or normal mental clarity; incoherent, as from shock.
c. Marked by a lack of accord with reason or sound judgment: an irrational dislike.

ir·ra′tion·al·ly adv.
ir·ra′tion·al·ness n.

irrational

[irash′ənəl]
Etymology: L, irrationalis, contrary to reason
pertaining to events, conditions, or behavior that may be considered unreasonable.

irrational

adjective Unreasonable, illogical

ir·ra·tion·al

(ir-rash'ŭn-ăl)
Not rational; unreasonable (contrary to reason) or unreasoning (not exercising reason).
[L. irrationalis, without reason]
References in periodicals archive ?
According to a recently developed method of assessing the randomness of a sequence of numbers, however, the digits of pi turn out to be more irregular than the digits of the other irrational numbers.
Like irrationals, values are mostly incommensurable, with no common measure.
At the beginning of this period, zero had been accepted as a number and irrationals were used freely although people still worried about whether they were really numbers.
Such peoples - who were being colonized, exploited, enslaved, and eliminated by Europeans during their Enlightenment and post-Enlightenment eras - were viewed as irrational and, thus, inferior in their status as human beings.
A popular view is that the great discovery of Pythagoreans was that there are irrational numbers, for example, the positive square root of two.