The Analytical Method of Navya-Nyāya argues that Udayana, who lived in the 11th century, is the founder of Navya-nyāya. A discussion of Navya-nyāya method of philosophical or logical analysis is presented, and an annotated translation of the “Lion’s and Tiger’s Definitions Section” of Mathurānātha’s Tattvacintāmaṇirahasya (TCR).