different between incommensurable vs commensurable
incommensurable
English
Etymology
From Middle French incommensurable, from Medieval Latin incommensurabilis.
Pronunciation
- (Received Pronunciation) IPA(key): /?nk??m?n?(?)??b?l/, /?nk??m?nsj????b?l/
- (General American) IPA(key): /?n.k??m?n(t)s.??.b?l/, /?n.k??m?n(t)?.??.b?l/, /?n.k??m?n(t).s?.??.b?l/, /?n.k??m?n(t).??.??.b?l/
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.
- The side and diagonal of a square are incommensurable with each other; the diameter and circumference of a circle are incommensurable.
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.
Related terms
- incommensurate
Translations
Noun
incommensurable (plural incommensurables)
- 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.
- 1946, Bertrand Russell, History of Western Philosophy, ch. 3:
Further reading
- incommensurable in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
- incommensurable in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
- incommensurable at OneLook Dictionary Search
French
Etymology
Borrowed from Late Latin incommens?r?bilis.
Pronunciation
- IPA(key): /??.k?.m??.sy.?abl/
Adjective
incommensurable (plural incommensurables)
- (mathematics) incommensurable
- immeasurable
- Synonym: immense
Derived terms
- incommensurablement
Further reading
- “incommensurable” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).
incommensurable From the web:
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commensurable
English
Etymology
Borrowed from Late Latin Latin commensurabilis (“having a common measure”) in 1550s, from Latin com- (“with”) + mensurabilis (“measurable”). Equivalent to com- +? mensurable.
Adjective
commensurable (comparative more commensurable, superlative most commensurable)
- Able to be measured using a common standard.
- A yard and a foot are commensurable, as both may be measured by inches.
- Related in size or scale; commensurate or proportionate.
- (mathematics) (of two or more numbers) Divisible by the same number WP
- The numbers 12 and 18 are commensurable, as both are divisible by 6, while 12 and 19 are incommensurable.
Antonyms
- incommensurable
Translations
French
Adjective
commensurable (plural commensurables)
- (mathematics) commensurable
Synonyms
- mesurable
commensurable From the web:
- commensurable meaning
- what does incommensurable mean
- what is commensurable with miles
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- what are commensurable numbers
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