mathematicians don't tend to have a lot of respect for epsilons. they are the weakest members of the real field - discarded as irrelevant, and often even multiplied or even squared and set as equal. a million epsilons is no more a threat than merely one. but, they're tenacious things, too - like the virus itself, always there.
cantor was a lunatic, but at least his ideas hinted at a new mathematics. we don't have the language to properly articulate it, and the mathematics is even in it's infancy, but we realize now that when we say there's an infinite number of numbers to count to and an infinite number of points on a real line that these are two different orders of infinity. we're not really there with infinitessimals, yet; we just produce epsilons and throw them away at will.
to you, an epsilon may be a person, and that's fine.
but, i can't and won't think like that. epsilons are to be thrown away and discarded.