The hypothesis of this chapter is that the Pragma-Dialectical theory is one particular version—the Amsterdam version—of a general pragma-dialectical type of theory. It is thus possible to accept the general theory without accepting every feature of the specific instance of that theory, but not conversely. Another implication is that the general theory might have other versions that apply where the Pragma-Dialectical theory strictly-construed does not, and so, by being more general, the former is more powerful than the latter. I outline six of the distinctive characteristics of the Pragma-Dialectical approach, then catalogue nine possible lines of criticism of that approach that are consistent with taking a pragma-dialectical approach to argumentation. I argue that, if successful, some of the criticisms undermine the Pragma-Dialectical version of pragma-dialectics, whereas others just require repairs or modifications.