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The fact that no evidence of new physics was found so far by LHC experiments has led some to call for the abandonment of the naturalness criterion. Others, on the contrary, have felt the need to break a lance in its defense by claiming that it should not be dismissed too quickly, but rather only reshaped to fit new needs. In this paper we argue that present pro or contra naturalness debates often miss an important historical point: that naturalness is essentially a hazily defined notion which, in the course of more than four decades, has been steadily, and often not coherently, shaped by its interplay with different branches of model-building in high-energy physics and cosmology on the one side, and new experimental results on the other side. The paper endeavours to clear up some of the physical and philosophical haze by taking a closer look back at the origin of naturalness in the 1970s and 1980s, with particular attention to the early work of Kenneth Wilson., Comment: Based on a talk delivered at the 2018 Aachen Workshop on "Naturalness, Hierarchy, and Fine Tuning". Forthcoming in Foundations of Physics

We present an efficient generator for the process e+e- to 4 fermions + gamma through off-shell W pairs. It is based on a massless matrix element with leading order(m^2) corrections. Only the resonant WW graphs are included. We have tested it against a matrix element without these approximations and found agreement to within ~1% at LEPII energies., Comment: 13 pages incl 2 figures, latex+axodraw, full ps file available as ftp://pss058.psi.ch/pub/preprints/wwf.ps, PSI-PR-94-06