Madhyamaka is highly regarded as the ultimate view across all major lineages of Tibetan Buddhism. Prasavgika Madhyamaka, the sub-school of Madhyamka Buddihsm, is perceived by some the only ultimate view in the Gelupa linage since it holds the method of logical consequence (pasavga) and this method appears to be the only valid method of demonstrating the nature of the Two Truths to opponents in debate. Without much debating, most of modern Han-scholars believed that the official philosophy, Prasavgika Madhyamaka in Gelupa, is same as founded by the Indian Buddhist master Candrakīrti. However, holding this belief may be in risk of oversimplifing the truth; in addition, causing misunderstandings The backbone of this thesis is to discuss the debate of Prasavgika Madhyamaka sub-school, developed by the founder of Gelupa lineage – Tsongkhpa. The discussion is based on the book “ The Moon Rays of the Highest Mahayana Core Analytic Views” by Gorampa (1429-1489) of Sakya lineage. Two other books from Gorampa, which are “ Removal of Wrong Views” and “ General Meaning of Madhyamaka”, are also incorporated in this thesis to elaborate Gorampa’s “Free From Extremes Madhyamaka” View, which entails a broader view from Svatantrika and Prasavgika respectively. The aim is to investigate the differences of definition and opinion on Madhyamaka, the specific goal in the Tibetan Buddhism, between Sakya and Gelupa lineages. Furthermore, it means to uncover the underlying meanings of Madhyamaka in a multiple level and to provoke new sorting categories for it. In the first chapter〈Introduction〉,I will introduce the logics for the questions raised and the methods for research. I will also collect and examine all related literatures discussing Madhyamaka in the Tibetan Buddhism to illustrate (why this research is needed and the significance of doing so) the necessity and significance of conducting this research. In Chapter 2〈The Introduction and Development of Madhyamaka in Tibetan Buddhism, the milestones of Madhyamaka development in Indo/Tibetan Buddhism will be discussed in details. The purpose is to emphasize the importance and possibility of dissecting and describing Madhyamaka from various angles. In Chapter 3〈The Biography, Lineage and Philosophy of Sakya lineage and Gorampa〉, I will discuss the academic background and contributions of the Sakya lineage and Gorampa, Gorampa's religious critiques, and his opinions about Tsongkhapa's Madhyamaka Sub-school. In Chapter 4〈Gorampa’s Understanding and Analysis of Tsongkhapa's Madhyamika〉, I will describe Gorampa’s viewpoint and elucidation about Tsongkhapa’s Madhyamaka , through the seven distinguishing features of Tsongkhapa indicated by Gorampa. Also Furthermor, a comparison will be made between afore mentioned technique and Tsongkhapa's eight difficult points of Prasavgika Madhyamaka. In the 5th chapter〈Gorampa’s Opposing Opinions on Tsongkhapa’s Madhyamaka〉, I will discuss how Gorampa criticized the infrastructure, methods of analysis and viewpoints on Tsongkhapa’s Madhyamaka. As well as the descending, differences and features of Madhyamaka between Gorampa and Tsongkhapa. In Chapter 6〈Free From Extremes Madhyamaka Developed By Gorampa
