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Implication vs Rational - What's the difference?

implication | rational |

As nouns the difference between implication and rational

is that implication is (uncountable) the act of implicating while rational is (mathematics) a rational number: a number that can be expressed as the quotient of two integers.

As an adjective rational is

capable of reasoning.

implication

English

Noun

  • (uncountable) The act of implicating.
  • (uncountable) The state of being implicated.
  • (countable) An implying, or that which is implied, but not expressed; an inference, or something which may fairly be understood, though not expressed in words.
  • * 2011 , Lance J. Rips, Lines of Thought: Central Concepts in Cognitive Psychology (page 168)
  • But we can also take a more analytical attitude to these displays, interpreting the movements as no more than approachings, touchings, and departings with no implication that one shape caused the other to move.
  • (countable, logic) The connective in propositional calculus that, when joining two predicates A and B in that order, has the meaning "if A is true, then B is true".
  • Derived terms

    * material implication * strict implication

    rational

    English

    Alternative forms

    * rationall (obsolete)

    Etymology 1

    From (etyl) rationel, rational, from (etyl)

    Adjective

    (en adjective)
  • Capable of reasoning.
  • *
  • Logically sound; not contradictory or otherwise absurd.
  • (label) Healthy or balanced intellectually; exhibiting reasonableness.
  • *{{quote-magazine, date=2014-06-21, volume=411, issue=8892, magazine=(The Economist)
  • , title= Magician’s brain , passage=The [Isaac] Newton that emerges from the [unpublished] manuscripts is far from the popular image of a rational practitioner of cold and pure reason. The architect of modern science was himself not very modern. He was obsessed with alchemy.}}
  • Of a number, capable of being expressed as the ratio of two integers.
  • ¾ is a rational number, but ?2 is an irrational number.
  • Of an algebraic expression, capable of being expressed as the ratio of two polynomials.
  • (label) Expressing the type, structure, relations, and reactions of a compound; graphic; said of formulae.
  • Antonyms
    * (reasonable) absurd, irrational, nonsensical * (capable of reasoning) arational, irrational, non-rational * (number theory) irrational

    Etymology 2

    From (etyl) rational, from , for which see the first etymology.

    Noun

    (en noun)
  • (mathematics) A rational number: a number that can be expressed as the quotient of two integers.
  • The quotient of two rationals''' is again a '''rational .
  • A rational being.
  • (Young)

    References

    * *

    Anagrams

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