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Incommensurable vs Incomparable - What's the difference?

incommensurable | incomparable |

As adjectives the difference between incommensurable and incomparable

is that incommensurable is (mathematics) of two real numbers, such that their ratio is not a fraction of two integers while incomparable is so much better than another as to be beyond comparison; matchless or unsurpassed.

As a noun incommensurable

is an incommensurable value or quantity; an irrational number.

incommensurable

English

Adjective

(en adjective)
  • (mathematics) Of two real numbers, such that their ratio is not a fraction of two integers.
  • (arithmetic) Of two integers, having no common integer divisor except 1.
  • Not able to be measured by the same standards as another term in the context; see measurement; contrast with unmeasurable or immeasurable, each of which means not able to be measured at all, the former more generally, the latter generally due to some infinite quality of the thing being described
  • The side and diagonal of a square are incommensurable''' with each other; the diameter and circumference of a circle are '''incommensurable .

    Noun

    (en noun)
  • An incommensurable value or quantity; an irrational number.
  • * 1946 , Bertrand Russell, History of Western Philosophy , ch. 3:
  • Unfortunately for Pythagoras, his theorem led at once to the discovery of incommensurables , which appeared to disprove his whole philosophy.

    incomparable

    English

    Adjective

    (en adjective)
  • So much better than another as to be beyond comparison; matchless or unsurpassed.
  • * , De Profundis , (1909), Robert Baldwin Ross, ed., page 112:
  • I know of nothing in all drama more incomparable from the point of view of art, nothing more suggestive in its subtlety of observation, than Shakespeare's drawing of Rosencrantz and Guildenstern.
  • (rare) Not able to be compared.
  • Usage notes

    * Using (more)'' or ''(most)'' with ''incomparable , though often disapproved, is relatively common. Such uses may once have only been accepted for poetic effect, but are now widespread. * Despite its apparently absolute meaning, incomparable'' is often used as if there were degrees of incomparability, occurring with adverbs such as ''(so)'' and ''(very) .

    Derived terms

    * incomparability