incommensurable quantity

incommensurable quantity
Mathematics
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  • incommensurable — [ˌɪnkə mɛnʃ(ə)rəb(ə)l, sjə ] adjective 1》 not able to be judged or measured by the same standards; having no common standard. 2》 Mathematics (of numbers) in a ratio that cannot be expressed as a ratio of integers. noun an incommensurable quantity …   English new terms dictionary

  • incommensurable — [in΄kə men′shoor ə bəl, in΄kə men′sərə bəl] adj. [LL incommensurabilis: see IN 2 & COMMENSURABLE] 1. that cannot be measured or compared by the same standard or measure; without a common standard of comparison 2. not worthy of comparison [a… …   English World dictionary

  • Incommensurable — In com*men su*ra*ble, a. [Pref. in not + commensurable: cf. F. incommensurable.] 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 …   The Collaborative International Dictionary of English

  • Incommensurable magnitudes — The Greek discovery of incommensurable magnitudes changed the face of mathematics. At its most basic level it shed light on a glaring contradiction within the then current Greek conception of mathematical thought, which eventually resulted in a… …   Wikipedia

  • incommensurable — 1. adjective /ɪnkəˈmɛnsjʊəɹəbəl/ a) That cannot be measured as an integer or fraction; irrational. b) Not able to be measured by the same standards as another term in the context; see measurement; contrast with unmeasurable or immeasurable, each… …   Wiktionary

  • Incommensurableness — Incommensurable In com*men su*ra*ble, a. [Pref. in not + commensurable: cf. F. incommensurable.] Not commensurable; having no common measure or standard of comparison; as, quantities are incommensurable when no third quantity can be found that is …   The Collaborative International Dictionary of English

  • Incommensurably — Incommensurable In com*men su*ra*ble, a. [Pref. in not + commensurable: cf. F. incommensurable.] Not commensurable; having no common measure or standard of comparison; as, quantities are incommensurable when no third quantity can be found that is …   The Collaborative International Dictionary of English

  • Greek arithmetic, geometry and harmonics: Thales to Plato — Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… …   History of philosophy

  • mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

  • algebra — /al jeuh breuh/, n. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. 2. any of… …   Universalium

  • Dimensional analysis — In physics and all science, dimensional analysis is a tool to find or check relations among physical quantities by using their dimensions. The dimension of a physical quantity is the combination of the basic physical dimensions (usually mass,… …   Wikipedia

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