Irrational

ahd-5
  • adjective. undefined
  • adjective. Not endowed with reason.
  • adjective. Affected by loss of usual or normal mental clarity; incoherent, as from shock.
  • adjective. Marked by a lack of accord with reason or sound judgment.
  • adjective. undefined
  • adjective. Being a syllable in Greek and Latin prosody whose length does not fit the metric pattern.
  • adjective. Being a metric foot containing such a syllable.
  • adjective. Of or relating to an irrational number.
  • noun. An irrational number.
  • The Century Dictionary and Cyclopedia
  • noun. A prime number.
  • noun. 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.
  • 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.
  • noun. That which is devoid of reason, as one of the lower animals.
  • the GNU version of the Collaborative International Dictionary of English
  • adjective. Not rational; void of reason or understanding.
  • adjective. Not according to reason; having no rational basis; clearly contrary to reason; easily disproved by reasoning; absurd; -- of assertions and beliefs.
  • adjective. Not capable of being exactly expressed by an integral number, nor by a ratio of integral numbers; surd; -- said especially of roots. See Surd.
  • Wiktionary, Creative Commons Attribution/Share-Alike License
  • adjective. Not rational; unfounded or nonsensical.
  • adjective. Of a real number, that cannot be written as the ratio of two integers.
  • noun. A real number that can not be expressed as the quotient of two integers, an irrational number.
  • WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
  • noun. a real number that cannot be expressed as a rational number
  • adjective. real but not expressible as the quotient of two integers
  • adjective. not consistent with or using reason
  • Word Usage
    "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)."
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