The insight that foundational systems like first-order logic or set theory can be used to construct large parts of existing mathematics and formal reasoning is one of the deep mathematical insights. Unfortunately it has been used in the field of automated theorem proving as an argument to disregard the need for a diverse variety of approaches in the field. While design issues play a major role in the formation of mathematical concepts, the theorem proving community has largely neglected them. In this contribution we argue that this leads not only to problems at the human computer interaction end, but that it causes severe problems at the core of the systems, namely at their representation and reasoning capabilities. (joint work with Martin Pollet of Saarbruecken, Germany.)