Express arithmetically; reduce to arithmetical form.

‘both Newton and Leibniz also arithmetized the calculus’

‘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.’

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