Naturalness is an extra-empirical quality that aims to assess plausibility of a theory. Finetuning measures are often deputized to quantify the task. However, knowing statistical distributions on parameters appears necessary. Such meta-theories are not known yet. A critical discussion of these issues is presented, including their possible resolutions in fixed points. Both agreement to and skepticism of naturalness’s utility remains credible, as is skepticism to any extra-empirical theory assessment that claims to identify “more correct” theories that are equally empirically adequate. (...) The severe implications of SEETA are set forward in some detail. We conclude with a summary and discussion of the viability of three main viewpoints toward naturalness and finetuning, where the “moderate naturalness position” is suggested to be most appealing, not suffering from the disquietudes of the extreme pro- and anti-naturalness positions. (shrink)