rational
/ˈɹæʃ(ə)nəl/ adjective, noun
Forms rationals rationall
- adjective Capable of reasoning. “Man is a rational creature.”
- adjective (economics) Behaving according to some partial order of preferences.
- adjective Logically sound; not self-contradictory or otherwise absurd. “His statements were quite rational.”
- adjective (of a person or personal characteristics) Healthy or balanced intellectually; exhibiting reasonableness. “rational conduct”
- adjective (arithmetic) Of a number, capable of being expressed as the ratio of two integers.
- adjective (algebra) Of an algebraic expression in indeterminates, or more generally a function: capable of being expressed as the ratio of two polynomials.
- adjective (algebraic geometry) Of a variety: (informally) geometrically simple almost everywhere; (formally) birationally equivalent to projective space
- adjective (algebraic geometry) Of a function between varieties: acting as a morphism on an open subset of its domain.
- 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.”
- noun (historical) The breastplate worn by Israelite high priests.
Synonyms
Antonyms
absurd irrational nonsensical arbitrary arational non-rational
Etymology
From Old French rationel, rational, from Latin rationalis (“of or belonging to reason, rational, reasonable; having a ratio”), from ratio (“reason; calculation”).
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.
Webster’s 1913
- adjective Relating to reason; not physical; mental.
- adjective Having reason, or the faculty of reasoning; endowed with reason or understanding; reasoning.
- noun A rational being. Young.
Etymology [L. rationalis: cf. F. rationnel. See Ratio, Reason, and cf. Rationale.]
Sources: Wiktionary · WordNet 3.0 · Webster’s 1913 — from the Wiktionary entry “rational”, CC BY-SA 4.0. Details