Calculus versus topology: comprehension versus abstraction (Q705509)

This is a comment on [\textit{U. Höhle}, ``Topological aspects of non-convergent sequences - a comment on Burgin's concept of fuzzy limits'', Fuzzy Sets Syst. 149, No. 3, 399-412 (2005; Zbl 1092.26023)]. The authors accept Höhle's comment as ``a fair mathematical paper with interesting results''. They justify their renunciation of topology by their emphasis on simplicity and comprehension. Not commented by the authors is Höhle's reproach that Burgin's statements often ``have more to do with an oracle than with clear scientific information. What is neoclassical analysis, what is fuzzy mathematics?''