Natural Realism and Physics are two ways of relating to our material world. This article provides some basic characteristics of both and derives two joined reasons why Physics is, partially, at odds with Natural Realism. The first reason consists in that present-day Physics is based on models of reality which involve several severe methodical reductionisms. From that derives the second reason, which is the difference of epistemological climates of Natural Realism and Physics. The difference is that the intelligibility of material things is esteemed low in Physics and high in Natural Realism. Natural Realism suggests that it should be possible to overcome that unsatisfactory state of affairs. As a way to amend the relationship, it is sugg...