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词汇 arithmetize
释义

Definition of arithmetize in English:

arithmetize

(British arithmetise)
verbəˈrɪθmətʌɪzəˈriTHməˌtīz
[with object]
  • Express arithmetically; reduce to arithmetical form.

    用算术表达;简化为算术形式

    both Newton and Leibniz also arithmetized the calculus
    Example sentencesExamples
    • In 1896 she published in the Bulletin of the American Mathematical Society a translation of Felix Klein's address before the Royal Academy of Science at Gottingen on ‘The arithmetizing of mathematics.’
    • To instill complete logical rigour Weierstrass proposed to establish mathematical analysis on the basis of number alone, to ‘arithmetize’ it - in effect, to replace the continuous by the discrete.
    • Most professional mathematicians seem to have retro-fitted Euclid's propositions into an axiomatic framework which arithmetises geometry, following Descartes.
    • This fact is easily proved by arithmetizing the alphabet of our language of description.
    • It claims that every letter means a number; so that, if you will take the trouble to arithmetise your own name, you know what your number is and can act accordingly.
    • Yet surely the principal reason scholars put Frege into the movement to arithmetize analysis is precisely that he so openly called for a more rigorous treatment of higher analysis.
    • This is the first and most important step towards arithmetizing space.
    • The Cartesian Co-ordinate system was developed to arithmetize geometry, which the Greeks had not managed.
    • As part of the process by which Greek geometry came to be transformed into modern arithmetized mathematics, Eutocius stumbled upon a new type of relation between objects, the functional relation.
    • We measure our understanding by the extent to which we can arithmetize an activity.
    • The most important Islamic advance was to arithmetize motion and challenge the Aristotelean ‘Law of Falling Bodies’.
    • The influence of Klein on ‘the arithmetizing of mathematics’ remained with Osgood during the whole of his later life.
    • Subtleties (stemming mainly from Lob's theorem) involved in attempts to arithmetize both finitism and intuitionism are discussed.

Definition of arithmetize in US English:

arithmetize

(British arithmetise)
verbəˈriTHməˌtīz
[with object]
  • Express arithmetically; reduce to arithmetic form.

    用算术表达;简化为算术形式

    both Newton and Leibniz also arithmetized the calculus
    Example sentencesExamples
    • As part of the process by which Greek geometry came to be transformed into modern arithmetized mathematics, Eutocius stumbled upon a new type of relation between objects, the functional relation.
    • We measure our understanding by the extent to which we can arithmetize an activity.
    • To instill complete logical rigour Weierstrass proposed to establish mathematical analysis on the basis of number alone, to ‘arithmetize’ it - in effect, to replace the continuous by the discrete.
    • It claims that every letter means a number; so that, if you will take the trouble to arithmetise your own name, you know what your number is and can act accordingly.
    • The influence of Klein on ‘the arithmetizing of mathematics’ remained with Osgood during the whole of his later life.
    • The most important Islamic advance was to arithmetize motion and challenge the Aristotelean ‘Law of Falling Bodies’.
    • The Cartesian Co-ordinate system was developed to arithmetize geometry, which the Greeks had not managed.
    • Yet surely the principal reason scholars put Frege into the movement to arithmetize analysis is precisely that he so openly called for a more rigorous treatment of higher analysis.
    • Subtleties (stemming mainly from Lob's theorem) involved in attempts to arithmetize both finitism and intuitionism are discussed.
    • In 1896 she published in the Bulletin of the American Mathematical Society a translation of Felix Klein's address before the Royal Academy of Science at Gottingen on ‘The arithmetizing of mathematics.’
    • This is the first and most important step towards arithmetizing space.
    • This fact is easily proved by arithmetizing the alphabet of our language of description.
    • Most professional mathematicians seem to have retro-fitted Euclid's propositions into an axiomatic framework which arithmetises geometry, following Descartes.
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