What are ceteris paribus (cp) laws? Which disciplines appeal to cp laws and which semantics, metaphysical underpinning, and epistemological dimensions do cp law statements have? Firstly, we give a short overview of the recent discussion on cp laws, which addresses these questions. Secondly, we suggest that given the rich and diverse literature on cp laws a broad conception of cp laws should be endorsed which takes into account the different ways in which laws can be non-universal (by being "non-strict", "inexact", "exception-ridden", "idealized" and so forth). Finally, we provide an overview of the special issue on that basis and describe the individual contributions to the special issue according to the issues they address: (a) the range of applications of cp laws as well as the (b) semantics, (c) metaphysics, and (d) epistemology pertaining to cp law statements.