>>42 例えば ”We are trying to make the point that the involvement of filters and/or non-standard numbers leads to a reduction in the number of quantifiers and hence, simplification, compared to the more traditional ε, δ-definition of limits in real analysis.” ってあるよね
つまり、 ”traditional ε, δ-definition of limits in real analysis” に対して、Frechet Filter とか、 Ultrafiltersとかを使って、 ”Non-Standard Characterization of Limits in R”(いわゆる超準解析) を展開することを論じている