![]() ![]() , and infinitesimal if x≠0 and a similar set of conditions holds for 1/x and the reciprocals of the positive integers. His Archimedean property defines a number x as infinite if it satisfies the conditions |x|>1, |x|>1+1, |x|>1+1+1. The Greek mathematician Archimedes (c.287 BC–c.212 BC), in The Method of Mechanical Theorems, was the first to propose a logically rigorous definition of infinitesimals. The notion of infinitesimally small quantities was discussed by the Eleatic School.
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