**Some interesting articles I wrote in my college days.**

Abstract

In the discussion of mind-body problem, materialism is in the position that there is one kind of substance and it is material substance. Typically, Identity Theory, Functionalism and Eliminative Materialism are in this position. This article looks at different solutions to the problem. It also discusses how each of these theories deals with physical and non-physical terms and proposes a modeling in the mapping of the two.

**A Rod-Numeral-Based
Algebraic System: Tianyuan Shu**

Abstract

In the 13th-century China, *Tianyuan** Shu* (天元术) was used as a system of algebra by
certain famous Chinese mathematicians, Li Zhi(李治) (later Li Ye, i.e., 李冶),
Zhu Shijie(朱世杰) and their
emulators. *Tianyuan**} *(天元), which means “celestial
elements” in Chinese, denotes the unknown variables, while *Shu* (术) means a technique. *Tianyuan** Shu* is
not a written system but instead based on instruments called counting rods.
This article presents the generation and development of *Tianyuan** Shu*, and also discusses its cultural and historical impact.