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In Mathematics. Newton laid the foundations for differential and integral calculus, several years before its independent discovery by Leibniz. The 'method of fluxions', as he termed it, was based on his crucial insight that the integration of a function is merely the inverse procedure to differentiating it.n Mathematics. Newton laid the foundations for differential and integral calculus, several years before its independent discovery by Leibniz. The 'method of fluxions', as he termed it, was based on his crucial insight that the integration of a function is merely the inverse procedure to differentiating it.
It is no accident that some of the earliest mechanical calculators were designed by the philosophers Pascal and Leibniz. Pascal's machine could add and Leibniz's machine could multiply. Objects of metal had acquired skills which had seemed the province of the soul.