transitive verb

• Express arithmetically; reduce to arithmetic form.

  ‘both Newton and Leibniz also arithmetized the calculus’

  More example sentences

  • ‘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.’
  • ‘The Cartesian Co-ordinate system was developed to arithmetize geometry, which the Greeks had not managed.’
  • ‘This fact is easily proved by arithmetizing the alphabet of our language of description.’
  • ‘We measure our understanding by the extent to which we can arithmetize an activity.’
  • ‘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 most important Islamic advance was to arithmetize motion and challenge the Aristotelean ‘Law of Falling Bodies’.’
  • ‘Most professional mathematicians seem to have retro-fitted Euclid's propositions into an axiomatic framework which arithmetises geometry, following Descartes.’
  • ‘The influence of Klein on ‘the arithmetizing of mathematics’ remained with Osgood during the whole of his later life.’
  • ‘This is the first and most important step towards arithmetizing space.’
  • ‘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.’’
  • ‘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.’
  • ‘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.’