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单词 incommensurable
释义

Definition of incommensurable in English:

incommensurable

adjective ˌɪnkəˈmɛnʃ(ə)rəb(ə)lˌɪnkəˈmɛnsjərəb(ə)l
  • 1Not able to be judged by the same standards; having no common standard of measurement.

    不能以同一标准衡量的,不能用其他标准衡量的;无共同尺度的

    the two types of science are incommensurable and thus cannot be integrated

    这两种科学不能以同一标准衡量。

    Example sentencesExamples
    • I argued earlier that ghosts to a certain extent spell out incommensurable cultural differences.
    • And this is owing to the fact that, while we wanted to overcome temptation, we also wanted to fail, for quite different and incommensurable reasons.
    • The two goals - reflecting the two sides of modern democratic individualism - were finally incommensurable.
    • It is comforting to consider that real change will be thoroughly unexpected, even incommensurable from the perspective of the present.
    • Without this, the meaning of basic terms will continue to differ, and the research will continue to be incommensurable.
    • Two periods of history inherently have such vastly different contexts, issues, and circumstances that they may be incommensurable; thus the specter of anachronism haunts every turn.
    • The new social agenda is to recognize and insist on individual varieties, incommensurable differences.
    • ‘Is’ and ‘ought’ seem to come from different, incommensurable worlds.
    • At other times, the children's comments suggest irreconcilable differences and utterly incommensurable world views.
    • Languages of those in different parts of the power structure are incommensurable making conversation across lines impossible.
    • There were no terms in the Renaissance for what, since the eighteenth century, have been construed as essential signs in the body of incommensurable difference.
    • Difference in such cases is not disagreement, at least on the surface issue; points of view that are incommensurable are different in the very frameworks of explanation.
    • The opponents and proponents of enclosure are currently locked in battle, each appealing to conflicting and sometimes incommensurable claims about efficiency, innovation, justice, and the limits of the market.
    • These are moral choices which are incommensurable because they appeal on different levels - they are not competing in a logical way, because they are both choices that could be right to a reasonable person.
    • ‘Globalization’ is used to refer to different, incommensurable processes which run parallel to one another, but not strictly as part of the same movement.
    • It cannot be simply dismissed as incommensurable.
    • How does one weigh such incommensurable elements?
    • The pressures of the classroom moment do not lend themselves to a dialogue about these underlying and indeed incommensurable differences.
    • After all, theoretical purists reject the idea that we should lump different and incommensurable arguments into one broad sweep.
    • Rather, it is because some, though not all, values are incommensurable.
  • 2Mathematics
    (of numbers) in a ratio that cannot be expressed as a ratio of integers.

    〔数〕(数字)不可通约的,无公度的

    Example sentencesExamples
    • The incommensurable is mentioned over and over again, but the case mentioned is that of the diagonal of a square in relation to its side; there is no allusion to the extension of the theory to other cases by Theodorus and Theaetetus…
    • Book five lays out the work of Eudoxus on proportion applied to commensurable and incommensurable magnitudes.
    • Similarly, we only know that a diagonal of a square is incommensurable with its side if we know that there are squares and that squares have diagonals.
    • If, when the lesser of two unequal magnitudes is continually subtracted in turn from the greater, that which is left never measures the one before it, the magnitudes will be incommensurable.
    1. 2.1 Irrational.
      无理数的
      Example sentencesExamples
      • It leads to the incommensurable (irrational) relations, which cannot be represented in a rational form.
      • In contrast Archytas argued that 9/8 cubed or three major second intervals equals the square root of two as the Greek Miracle, the axiomatic algebra of the precise incommensurable irrational number.
noun ˌɪnkəˈmɛnʃ(ə)rəb(ə)lˌɪnkəˈmɛnsjərəb(ə)l
usually incommensurables
  • An incommensurable quantity.

    不能用其他标准衡量的量

    Example sentencesExamples
    • Pappus tells us, therefore, that Theaetetus was inspired by the work of Theodorus to work on incommensurables and that he made major contributions to the theory.
    • There is force in the argument that to permit reference in libel cases to conventional levels of award in personal injury cases is simply to admit yet another incommensurable into the field of consideration.
    • The truth, of course, is that in putting a money value on the prospective balance of happiness in years that the deceased might otherwise have lived, the jury or judge of fact is attempting to equate incommensurables.
    • Anaxagoras and the followers of Pythagoras, with their development of incommensurables, are also thought by some to be the targets of Zeno's arguments.
    • No, your Honour, the only errors of principle are, what does the principle of equality before the law mean when it comes to sentencing in specific cases and does it require the comparison of incommensurables, as it were?

Derivatives

  • incommensurability

    不能用其他标准衡量的量

  • noun ˌɪnkəmɛnsjərəˈbɪlɪtiˌɪnkəmɛnʃ(ə)rəˈbɪlɪti
    • Such incommensurability should not be understood as a reflection of our inability to make fine discriminations between divergent ways of life.
      Example sentencesExamples
      • God is the only hypothesis that does justice to the immensity and incommensurability of the cosmos.
      • There we come to the third aspect of interaction - so I think that interaction always also integrates this aspect of incommensurability - of the fact that you cannot completely compare or that you cannot completely grasp the other.
      • The magnitude of incommensurability between this study and previous work, as well as all previous studies with one another, limits meaningful comparisons of diversity patterns in tropical American mollusks.
      • Instead, she produces a history whose accuracy and sophistication is marked by disjuncture and incommensurability between different paradigms and apprehensions of different practices in different eras.
  • incommensurably

    不能用其他标准衡量的量

  • adverbˌɪŋkəˈmɛnsjərəbliˌɪnkəˈmɛnʃ(ə)rəbli
    • His research topics were uncommon crystals and their phase transitions, and included incommensurably modulated structures, quasicrystals and polytypes.
      Example sentencesExamples
      • It is not an answer that these figures or these seven years of Aristeas' journey will provide, but a question: by which the incommensurably qualitative comes to measure what it has been measured and sold by.
      • The diverse cultures here are not incommensurably unique to each other.

Origin

Mid 16th century (in the mathematical sense): from late Latin incommensurabilis, from in- 'not' + commensurabilis (see commensurable).

Definition of incommensurable in US English:

incommensurable

adjective
  • 1Not able to be judged by the same standard as something; having no common standard of measurement.

    不能以同一标准衡量的,不能用其他标准衡量的;无共同尺度的

    the two types of science are incommensurable

    这两种科学不能以同一标准衡量。

    Example sentencesExamples
    • Two periods of history inherently have such vastly different contexts, issues, and circumstances that they may be incommensurable; thus the specter of anachronism haunts every turn.
    • Difference in such cases is not disagreement, at least on the surface issue; points of view that are incommensurable are different in the very frameworks of explanation.
    • ‘Globalization’ is used to refer to different, incommensurable processes which run parallel to one another, but not strictly as part of the same movement.
    • I argued earlier that ghosts to a certain extent spell out incommensurable cultural differences.
    • Languages of those in different parts of the power structure are incommensurable making conversation across lines impossible.
    • These are moral choices which are incommensurable because they appeal on different levels - they are not competing in a logical way, because they are both choices that could be right to a reasonable person.
    • The new social agenda is to recognize and insist on individual varieties, incommensurable differences.
    • Without this, the meaning of basic terms will continue to differ, and the research will continue to be incommensurable.
    • After all, theoretical purists reject the idea that we should lump different and incommensurable arguments into one broad sweep.
    • It cannot be simply dismissed as incommensurable.
    • The pressures of the classroom moment do not lend themselves to a dialogue about these underlying and indeed incommensurable differences.
    • ‘Is’ and ‘ought’ seem to come from different, incommensurable worlds.
    • Rather, it is because some, though not all, values are incommensurable.
    • It is comforting to consider that real change will be thoroughly unexpected, even incommensurable from the perspective of the present.
    • The opponents and proponents of enclosure are currently locked in battle, each appealing to conflicting and sometimes incommensurable claims about efficiency, innovation, justice, and the limits of the market.
    • And this is owing to the fact that, while we wanted to overcome temptation, we also wanted to fail, for quite different and incommensurable reasons.
    • There were no terms in the Renaissance for what, since the eighteenth century, have been construed as essential signs in the body of incommensurable difference.
    • At other times, the children's comments suggest irreconcilable differences and utterly incommensurable world views.
    • How does one weigh such incommensurable elements?
    • The two goals - reflecting the two sides of modern democratic individualism - were finally incommensurable.
  • 2Mathematics
    (of numbers) in a ratio that cannot be expressed as a ratio of integers.

    〔数〕(数字)不可通约的,无公度的

    Example sentencesExamples
    • If, when the lesser of two unequal magnitudes is continually subtracted in turn from the greater, that which is left never measures the one before it, the magnitudes will be incommensurable.
    • The incommensurable is mentioned over and over again, but the case mentioned is that of the diagonal of a square in relation to its side; there is no allusion to the extension of the theory to other cases by Theodorus and Theaetetus…
    • Similarly, we only know that a diagonal of a square is incommensurable with its side if we know that there are squares and that squares have diagonals.
    • Book five lays out the work of Eudoxus on proportion applied to commensurable and incommensurable magnitudes.
    1. 2.1 Irrational.
      无理数的
      Example sentencesExamples
      • In contrast Archytas argued that 9/8 cubed or three major second intervals equals the square root of two as the Greek Miracle, the axiomatic algebra of the precise incommensurable irrational number.
      • It leads to the incommensurable (irrational) relations, which cannot be represented in a rational form.
noun
usually incommensurables
  • An incommensurable quantity.

    不能用其他标准衡量的量

    Example sentencesExamples
    • Pappus tells us, therefore, that Theaetetus was inspired by the work of Theodorus to work on incommensurables and that he made major contributions to the theory.
    • Anaxagoras and the followers of Pythagoras, with their development of incommensurables, are also thought by some to be the targets of Zeno's arguments.
    • There is force in the argument that to permit reference in libel cases to conventional levels of award in personal injury cases is simply to admit yet another incommensurable into the field of consideration.
    • The truth, of course, is that in putting a money value on the prospective balance of happiness in years that the deceased might otherwise have lived, the jury or judge of fact is attempting to equate incommensurables.
    • No, your Honour, the only errors of principle are, what does the principle of equality before the law mean when it comes to sentencing in specific cases and does it require the comparison of incommensurables, as it were?

Origin

Mid 16th century (in the mathematical sense): from late Latin incommensurabilis, from in- ‘not’ + commensurabilis (see commensurable).

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更新时间:2024/10/19 16:21:58