This book demonstrates how, through cross-tradition engagement, insights from the Chinese philosophical tradition can work with relevant resources from modern logic and contemporary philosophy to enhance our understanding of two basic principles of logic: the law of identity and the law of non-contradiction. The law of identity and the law of non-contradiction are widely accepted principles in logic. However, there are disagreements as to how to understand and treat the genuine structures and contents of these two basic principles. This book provides a holistic inquiry into these principles for the sake of enhancing our understanding and treatment of them from the vantage point of cross-tradition engagement. It begins by offering a philosophical interpretation of three classical texts in Chinese philosophy in their contexts: the Bai-Ma-Lun in Gongsun Long’s texts, the Xiao-Qu in the Later Mohist texts, and Lao Zi's Dao-De-Jing in classical Daoism. The author explains an innovative dual-track characterization of relative identity that is informed by relevant resources from these texts as well as Western philosophical traditions. He shows how this cross-tradition engaging approach can make constructive and significant contributions to the jointly concerned fundamental issues of identity and reference in logic, philosophy of logic and language, metaphysics, as well as philosophy more generally. Cross-Tradition Engagement on the Laws of Logic will appeal to scholars and advanced students working in philosophy of logic, philosophy of language, Chinese philosophy, and comparative philosophy.