INCOMMENSURABLE

incommensurable

(adjective) not having a common factor

incommensurable

(adjective) impossible to measure or compare in value or size or excellence

Source: WordNet® 3.1

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Etymology

Adjective

incommensurable (comparative more incommensurable, superlative most incommensurable)

(mathematics) Of two real numbers, such that their ratio is not a fraction of two integers.

(arithmetics) 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.

Usage notes

The term contrasts with unmeasurable and immeasurable in that both mean "not able to be measured at all", with the latter generally being because of some infinite quality of the thing being described.

Noun

incommensurable (plural incommensurables)

An incommensurable value or quantity; an irrational number.

Source: Wiktionary

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In`com*men"su*ra*ble, a. Etym: [Pref. in- not + commensurable: cf. F. incommensurable.]

Definition: Not commensurable; having no common measure or standard of comparison; as, quantities are incommensurable when no third quantity can be found that is an aliquot part of both; the side and diagonal of a square are incommensurable with each other; the diameter and circumference of a circle are incommensurable. They are quantities incommensurable. Burke.

– In`com*men"su*ra*ble*ness, n.

– In`com*men"su*ra*bly, adv.

In`com*men"su*ra*ble, n.

Definition: One of two or more quantities which have no common measure.

Source: Webster’s Unabridged Dictionary 1913 Edition

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