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adj. Not endowed with reason.

adj. Affected by loss of usual or normal mental clarity; incoherent, as from shock.

adj. Marked by a lack of accord with reason or sound judgment: an irrational dislike.

adj. Being a syllable in Greek and Latin prosody whose length does not fit the metric pattern.

adj. Being a metric foot containing such a syllable.

adj. Mathematics Of or relating to an irrational number.

n. Mathematics An irrational number.

adj. Not rational; unfounded or nonsensical.

adj. Of a real number, that cannot be written as the ratio of two integers.

n. A real number that can not be expressed as the quotient of two integers, an irrational number.

adj. Not rational; void of reason or understanding.

adj. Not according to reason; having no rational basis; clearly contrary to reason; easily disproved by reasoning; absurd; -- of assertions and beliefs.

adj. Not capable of being exactly expressed by an integral number, nor by a ratio of integral numbers; surd; -- said especially of roots. See Surd.

Not rational; without the faculty of reason; void of understanding; unreasoning.

Without the quality of reason; contrary to reason; illogical; unreasonable: as, irrational motives; an irrational project.

In mathematics: In arithmetic, not capable of being exactly expressed by a vulgar fraction, proper or improper; surd.

In translations of Euclid, and cognate writings, at once incommensurable with the assumed unit and not having its square commensurable with that of the unit. This is the peculiar meaning given by Euclid to α%27λογος, though Plato uses it in sense , above.

In algebra, noting a quantity involving a variable raised to a fractional power; or. in a wider sense, noting a quantity not rational, not a sum of products of constants and of variables into one another or into themselves.

In Greek prosody, incapable of measurement in terms of the fundamental or primary time or metrical unit.

n. That which is devoid of reason, as one of the lower animals.

n. A prime number.

n. In mathematics, an irrational number, that is, the mark of a cut which separates all rational numbers into two classes, the first having no greatest number, the second no least.

n. a real number that cannot be expressed as a rational number

adj. real but not expressible as the quotient of two integers

adj. not consistent with or using reason

"They are not irrational numbers according to Wittgenstein's criteria, which define, Wittgenstein interestingly asserts, “precisely what has been meant or looked for under the name ˜irrational number™” (PR §191)."

nonrational    unreasoning    reasonless    blind    superstitious   

rational    reasonable   

irrational function    geometrically irrational    transcendental irrational    irrational equation   

irrational number   

preposterous    absurd    senseless    unreasonable    foolish    unreasoning    unthinking    brainless    brute    brutish   

International    binational    international    multinational    national    rational    supranational    transnational   

unreasonable    illogical    absurd    insane    instinctive    inexplicable    unreasoning    superstitious    destructive    violent