Thinking through Sets: Exploring How Chinese Pictographic Language Shapes Chinese Logic

Abstract

The author of this paper argues that ancient Chinese thinkers practiced an alternative logic that is significantly different from Aristotelian logic. The paper has two objectives: 1) to clarify what Chinese logic looks like; 2) to re-evaluate the wisdom in classic texts with a clear understanding of Chinese logic. The author uses two major approaches in her reasoning: an etymological approach and logic of sets. An etymological study shows that Chinese pictographic characters were created according to sets - the collections of characters. The author examines how Chinese pictographic language shapes ancient Chinese thinkers’ thinking patterns and provides evidence that the habit of thinking in sets could naturally shape a practice of a primary logic of sets. Borrowing some expressions and symbols from modern Set Theory, the author demonstrates how the logic of sets was practiced by Gongsun Longzi, Confucius, Zhuangzi, as well as Chinese mathematicians in their teachings and reasoning. A theory of sets provides help with a much better understanding about reasoning methods in ancient Chinese thinkers’ minds, so that one can evaluate their wisdom fairly. Understanding Chinese logic as it is provides a fruitful opening for new research in Comparative Philosophy. Keywords: set, etymology, membership, Chinese logic, and comparative philosophy