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.