Up until now I had known that calculus had been initially formulated by Leibniz and Newton in terms of infinitesimals, but that approach led to inconsistencies, and so Cauchy and others reformulated calculus rigorously using the epsilon-delta method.
Recently I stumbled across “Elementary Calculus : An Infinitesimal Approach” by H. J. Keisler. In his preface Keisler says that the infinitesimal approach to calculus had been placed on rigorous footing in the 1960s by Abraham Robinson.
And here is my question : is it universally accepted now that Robinson’s calculus is rigorous/not logically inconsistent? In essence, what’s the common consensus in the math community regarding Robinson’s approach to infinitesimal calculus?