Oh and the reason I picked on the Archimedean property specifically is that it had been this that both Leibnitz’”infinitesimals” and Newton’s “fluxions” had han

Oh and the reason I picked on the Archimedean property specifically is that it had been this that both Leibnitz’”infinitesimals” and Newton’s “fluxions” had handwaved around. They both relied no some sort of non-Archimedean numbers for limits and derivatives to work. The Archimedean property is that given two numbers x and y there exists an integer n such that nx>y. Infinitesimals and fluxions relied on the idea that they were so small this wouldn’t work and therefore they didn’t fit the definition of real numbers.