Liu Mu 劉牧 inaugurated the diagram-based paradigm of Yijing 易經 interpretation in the Song dynasty and restored the Hetu and Luoshu 河圖洛書 to the center of Yi studies 易學. Existing scholarship has approached his system primarily through the lens of xiang-shu 象數 structure or semiotics, frameworks that illuminate how his numerical diagrams function as interpretive tools while leaving unaddressed a more fundamental question: what grounds their authority. This article argues that attending to the religious dimensions of Liu Mu’s system opens a new line of inquiry by revealing how his numerological framework could function as a substantive ground of political and moral order in the intellectual culture of the Renzong 宋仁宗 reign. Liu Mu’s system operates on two interconnected religious levels. First, by anchoring moral and political norms in the objective order of cosmic numerology rather than in human convention, it furnishes a sacred foundation for ethical and political life that transcends arbitrary agreement. Second, by deliberately withholding Heaven’s One (tianyi 天一) from the yarrow-stalk method, it carves out, within an otherwise calculable rational order, an irreducible space for genuine encounter with cosmic mystery. The article further demonstrates that this strategy was shaped by the specific historical and institutional contexts of the early Song. Liu Mu’s enduring contribution lies in constructing a numerological system in which sacred authority and rational order are not opposed but mutually constitutive.
Jingxin Shen (Sat,) studied this question.