To me, the justification of the Core Curriculum is a justification of a paradigm. To Kuhn, a paradigm is a pattern or a larger model for how to address a body of work or a topic; specifically, Kuhn deals with scientific paradigms and what it means for the collective knowledge of a paradigm to exist as scientific support for something. His definition of a scientific paradigm is "universally recognized scientific achievements that, for a time, provide model problems and solutions for a community of practitioners."
If we take the scientific element out of that definition, we can see how easily that same definition fits into the justification for the Core Curriculum. The Core, especially LitHum and CC, attempts to provide broad knowledge and methods for addressing contemporary problems and issues in society, and it does this by teaching certain material that provides example "problems and solutions" in much the same way as a scientific paradigm. The Global Core teaches us how to deal with contemporary global problems or view problems through a global lens. The science requirement of the Core most closely fits with Kuhn's traditional idea, but it does much the same in providing a quantitative and empirical lens through which we can approach some problems. LitHum and CC deal more with social and moral issues, providing examples through text and philosophy, but they function exactly as Kuhn argues by giving such "model problems and solutions for a community" - the fact that we study "the Great Books" gives further weight because these texts are "universally recognized" as being broadly applicable in society.