Step 1: Understanding the Approaches.
Let’s break down the correct matching of the authors with their approaches:
M. N. Srinivas: He emphasized the importance of the field view, advocating that sociology should be based on empirical, fieldwork observations rather than theoretical study. This corresponds to Approach 3: "Indian sociology must emphasize the field view and not the book view."
Louis Dumont: Known for his analysis of Brahminical Hinduism and its role in shaping Indian society, Dumont argued that Indian society is deeply influenced by Brahminical traditions, which have held society together. This aligns with Approach 1: "Indian society is produced by the spread of Brahminical Hinduism."
A. R. Desai: He was a Marxist scholar and believed that a critical study of capitalism in India required historical analysis. His approach matches Approach 4: "A critical sociology of India has to undertake the study of the capitalist system as its main focus."
G. S. Ghurye: Known for advocating that Indian sociology must be understood at the intersection of Indology and sociology, Ghurye emphasized the role of cultural and traditional aspects in shaping Indian society. This corresponds to Approach 2: "Indian sociology must be located at the intersection of Indology and sociology."