different between irrational vs incongruous

English

Etymology

From Latin irrati?n?lis, from ir- + rati?n?lis.

Pronunciation

• enPR: ?r?'sh(?)n?l, IPA^(key): /???æ?.(?.)n?l/

Adjective

irrational (comparative more irrational, superlative most irrational)

1. Not rational; unfounded or nonsensical.
   • July 18, 2012, Scott Tobias, AV Club The Dark Knight Rises[1]

     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.

2. (mathematics, arithmetic, number theory, not comparable) Of a real number, that cannot be written as the ratio of two integers.

   Antonym: rational

   Hyponym: transcendental

Derived terms

Translations

Noun

irrational (plural irrationals)

1. 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.

Translations

German

Alternative forms

• irrationell

Pronunciation

• IPA^(key): /???at?si?ona?l/, /??at?si?o?na?l/

Adjective

irrational (comparative irrationaler, superlative am irrationalsten)

1. irrational

Declension

English

Etymology

From Latin incongruus, from in- (“not”) + congruus (“congruent”).

Pronunciation

• (Received Pronunciation) IPA^(key): /?n?k?n.???u.?s/, /?n?k??.??u.?s/
• (US) IPA^(key): /?n?k?n.??u.?s/, /???k??.??u.?s/

Adjective

incongruous (comparative more incongruous, superlative most incongruous)

1. Not similar or congruent; not matching or fitting in.
   • 1853, Charlotte Brontë, Villette, ch. 34:

     [P]erhaps he thought me, with my basket of summer fruit, and my lack of the dignity age confers, an incongruous figure in such a scene.

   • 1912, Jack London, A Son Of The Sun, ch. 1:

     Ardent suns had likewise tanned his face till it was swarthy as a Spaniard's. The yellow mustache appeared incongruous in the midst of such swarthiness.

   • 2014, Daniel Taylor, England and Wayne Rooney see off Scotland in their own back yard (in The Guardian, 18 November 2014)[1]

     For a few moments England toyed with the idea of making it a more difficult night than necessary. Scotland had scored a goal that seemed incongruous to the rest of their performance and, briefly, a fiercely partisan crowd sensed an improbable comeback.

2. (mathematics) Of two numbers, with respect to a third, such that their difference can not be divided by it without a remainder.

   20 and 25 are incongruous with respect to 4.

Derived terms

• incongruously
• incongruousness

Synonyms

• incongruitous

Related terms

• incongruence
• incongruent
• incongruity

Translations