rational
See also: rațional
English
WOTD – 20 January 2009
Alternative forms
- rationall (obsolete)
Pronunciation
- enPR: ră'sh(ə)nəl, IPA(key): /ˈɹæʃ(ə)nəl/
Audio (US) (file) Audio (AU) (file)
Etymology 1
From Old French rationel, rational, from Latin rationalis (“of or belonging to reason, rational, reasonable”), from ratio (“reason”).
Adjective
rational (comparative more rational, superlative most rational)
- Capable of reasoning.
- Man is a rational creature.
- 2001, Mark Sainsbury, chapter 1, in Logical Forms — An Introduction to Philosophical Logic, 2nd edition, Blackwell Publishing, →ISBN, §7, page 32:
- The utility of valid arguments is a monument to our frailty: to the fact that we are not completely rational beings.
- Logically sound; not contradictory or otherwise absurd.
- His statements were quite rational.
- (of a person or personal characteristics) Healthy or balanced intellectually; exhibiting reasonableness.
- rational conduct
- 2014 June 21, “Magician’s brain”, in The Economist, volume 411, number 8892:
- The [Isaac] Newton that emerges from the [unpublished] manuscripts is far from the popular image of a rational practitioner of cold and pure reason.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.
- (mathematics, arithmetic, number theory, not comparable) Of a number, capable of being expressed as the ratio of two integers.
- ¾ is a rational number, but √2 is an irrational number.
- (mathematics, arithmetic, not comparable) Of an algebraic expression, capable of being expressed as the ratio of two polynomials.
- (chemistry) Expressing the type, structure, relations, and reactions of a compound; graphic; said of formulae.
- (physics) Expressing a physical object.
- A rational table is physical, a written table is neither.
Antonyms
- (reasonable): absurd, irrational, nonsensical
- (capable of reasoning): arational, irrational, non-rational
- (number theory): irrational
Related terms
Terms etymologically related to rational
Translations
capable of reasoning
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reasonable; not absurd
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arithmetic: of a number
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arithmetic: of an algebraic expression
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Noun
rational (plural rationals)
- (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.
Translations
rational number — see rational number
Etymology 2
From Old French rational, from Medieval Latin rationale (“a pontifical stole, a pallium, an ornament worn over the chasuble”), neuter of Latin rationalis (“rational”), for which see the first etymology. Translation of λογεῖον (logeîon) or perhaps λόγιον (lógion, “oracle”) in the Septuagint version of Exodus 28.
Noun
rational (plural rationals)
- (historical) The breastplate worn by Israelite high priests.
- 1609, Douay-Rheims Bible, Exodus 28:15
- And thou shalt make the rational of judgment with embroidered work of divers colours, according to the workmanship of the ephod, of gold, violet, and purple, and scarlet twice dyed, and fine twisted linen.
Translations
Translations
References
- rational in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
- rational in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
Further reading
- "rational" in Raymond Williams, Keywords (revised), 1983, Fontana Press, page 252.
German
Etymology
From Latin rationalis.
Pronunciation
- IPA(key): [ˌʀat͡si̯oˈnaːl]
- Hyphenation: ra‧ti‧o‧nal
Audio (file)
Declension
Positive forms of rational
number & gender | singular | plural | |||
---|---|---|---|---|---|
masculine | feminine | neuter | all genders | ||
predicative | er ist rational | sie ist rational | es ist rational | sie sind rational | |
strong declension (without article) |
nominative | rationaler | rationale | rationales | rationale |
genitive | rationalen | rationaler | rationalen | rationaler | |
dative | rationalem | rationaler | rationalem | rationalen | |
accusative | rationalen | rationale | rationales | rationale | |
weak declension (with definite article) |
nominative | der rationale | die rationale | das rationale | die rationalen |
genitive | des rationalen | der rationalen | des rationalen | der rationalen | |
dative | dem rationalen | der rationalen | dem rationalen | den rationalen | |
accusative | den rationalen | die rationale | das rationale | die rationalen | |
mixed declension (with indefinite article) |
nominative | ein rationaler | eine rationale | ein rationales | (keine) rationalen |
genitive | eines rationalen | einer rationalen | eines rationalen | (keiner) rationalen | |
dative | einem rationalen | einer rationalen | einem rationalen | (keinen) rationalen | |
accusative | einen rationalen | eine rationale | ein rationales | (keine) rationalen |
Comparative forms of rational
number & gender | singular | plural | |||
---|---|---|---|---|---|
masculine | feminine | neuter | all genders | ||
predicative | er ist rationaler | sie ist rationaler | es ist rationaler | sie sind rationaler | |
strong declension (without article) |
nominative | rationalerer | rationalere | rationaleres | rationalere |
genitive | rationaleren | rationalerer | rationaleren | rationalerer | |
dative | rationalerem | rationalerer | rationalerem | rationaleren | |
accusative | rationaleren | rationalere | rationaleres | rationalere | |
weak declension (with definite article) |
nominative | der rationalere | die rationalere | das rationalere | die rationaleren |
genitive | des rationaleren | der rationaleren | des rationaleren | der rationaleren | |
dative | dem rationaleren | der rationaleren | dem rationaleren | den rationaleren | |
accusative | den rationaleren | die rationalere | das rationalere | die rationaleren | |
mixed declension (with indefinite article) |
nominative | ein rationalerer | eine rationalere | ein rationaleres | (keine) rationaleren |
genitive | eines rationaleren | einer rationaleren | eines rationaleren | (keiner) rationaleren | |
dative | einem rationaleren | einer rationaleren | einem rationaleren | (keinen) rationaleren | |
accusative | einen rationaleren | eine rationalere | ein rationaleres | (keine) rationaleren |
Superlative forms of rational
number & gender | singular | plural | |||
---|---|---|---|---|---|
masculine | feminine | neuter | all genders | ||
predicative | er ist am rationalsten | sie ist am rationalsten | es ist am rationalsten | sie sind am rationalsten | |
strong declension (without article) |
nominative | rationalster | rationalste | rationalstes | rationalste |
genitive | rationalsten | rationalster | rationalsten | rationalster | |
dative | rationalstem | rationalster | rationalstem | rationalsten | |
accusative | rationalsten | rationalste | rationalstes | rationalste | |
weak declension (with definite article) |
nominative | der rationalste | die rationalste | das rationalste | die rationalsten |
genitive | des rationalsten | der rationalsten | des rationalsten | der rationalsten | |
dative | dem rationalsten | der rationalsten | dem rationalsten | den rationalsten | |
accusative | den rationalsten | die rationalste | das rationalste | die rationalsten | |
mixed declension (with indefinite article) |
nominative | ein rationalster | eine rationalste | ein rationalstes | (keine) rationalsten |
genitive | eines rationalsten | einer rationalsten | eines rationalsten | (keiner) rationalsten | |
dative | einem rationalsten | einer rationalsten | einem rationalsten | (keinen) rationalsten | |
accusative | einen rationalsten | eine rationalste | ein rationalstes | (keine) rationalsten |
Further reading
- rational in Duden online
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