This book demonstrates how, through cross-tradition engagement, insights and engaging treatments 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 and other intellectual pursuits. 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 respective 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.

Theodore Sider presents a broad new vision of metaphysics centred on the idea of structure. To describe the world well we must use concepts that 'carve at the joints', so that conceptual structure matches reality's structure. This approach illuminates a wide range of topics, such as time, modality, ontology, and the status of metaphysics itself.

This volume features essays about and by Paul Benacerraf, whose ideas have circulated in the philosophical community since the early nineteen sixties, shaping key areas in the philosophy of mathematics, the philosophy of language, the philosophy of logic, and epistemology. The book started as a workshop held in Paris at the Collège de France in May 2012 with the participation of Paul Benacerraf. The introduction addresses the methodological point of the legitimate use of so-called “Princess Margaret Premises” in drawing philosophical conclusions from Gödel’s first incompleteness theorem. The book is then divided into three sections. The first is devoted to an assessment of the improved version of the original dilemma of “Mathematical Truth” due to Hartry Field: the challenge to the platonist is now to explain the reliability of our mathematical beliefs given the very subject matter of mathematics, either pure or applied. The second addresses the issue of the ontological status of numbers: Frege’s logicism, fictionalism, structuralism, and Bourbaki’s theory of structures are called up for an appraisal of Benacerraf’s negative conclusions of “What Numbers Could Not Be.” The third is devoted to supertasks and bears witness to the unique standing of Benacerraf’s first publication: “Tasks, Super-Tasks, and Modern Eleatics” in debates on Zeno’s paradox and associated paradoxes, infinitary mathematics, and constructivism and finitism in the philosophy of mathematics. Two yet unpublished essays by Benacerraf have been included in the volume: an early version of “Mathematical Truth” from 1968 and an essay on “What Numbers Could Not Be” from the mid 1970’s. A complete chronological bibliography of Benacerraf’s work to 2016 is provided.Essays by Jody Azzouni, Paul Benacerraf, Justin Clarke-Doane, Sébastien Gandon, Brice Halimi, Jon Pérez Laraudogoitia, Mary Leng, Antonio León-Sánchez and Ana C. León-Mejía, Marco Panza, Fabrice Pataut, Philippe de Rouilhan, Andrea Sereni, and Stewart Shapiro.

Vols. for 1969- include a section of abstracts.