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Irrational vs Pollyannaishly - What's the difference?

irrational | pollyannaishly |

As an adjective irrational

is not rational; unfounded or nonsensical.

As a noun irrational

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

As an adverb pollyannaishly is

in a pollyannaish way; with irrational optimism.

irrational

English

Adjective

(en adjective)
  • Not rational; unfounded or nonsensical.
    • an irrational decision
  • * July 18 2012 , Scott Tobias, AV Club The Dark Knight Rises [http://www.avclub.com/articles/the-dark-knight-rises-review-batman,82624/]
    • Where the Joker preys on our fears of random, irrational acts of terror, Bane has an all-consuming, dictatorial agenda that’s more stable and permanent, a New World Order that’s been planned out with the precision of a military coup.
  • (mathematics, arithmetic, number theory, not comparable) Of a real number, that cannot be written as the ratio of two integers.
    • The number π is irrational .

    Antonyms

    * (mathematics) rational

    Hyponyms

    * (mathematics) transcendental

    Derived terms

    * irrational number * irrationality * irrationalize * irrationalization

    Noun

    (en noun)
  • A real number that can not be expressed as the quotient of two integers, an irrational number.
  • * 1946 , (Bertrand Russell), History of Western Philosophy , I.24:
    • The square root of 2, which was the first irrational to be discovered, was known to the early Pythagoreans, and ingenious methods of approximating to its value were discovered.

    pollyannaishly

    English

    Adverb

    (en adverb)
  • In a Pollyannaish way; with irrational optimism.
  • * 1993 , George G. Kaufman, Robert E. Litan, Assessing bank reform: FDICIA one year later (page 87)
    • Albert Casey, head of the Resolution Trust Corporation (RTC), has even suggested (perhaps Pollyannaishly ) that as little as $25 billion additional federal resources may be needed to finish the S&L cleanup.