Step 1: Introduction to Mimansa Philosophy.
Mimansa, one of the six classical schools of Indian philosophy, concentrates on rituals, duties, and the interpretation of Vedic texts. It comprises two primary traditions: the Bhatta school and the Prabhakara school.
Step 2: The Gurusampradaya Explained.
The Prabhakara school of Mimansa is also known as Gurusampradaya. This designation stems from its founder, Prabhakarmishra, who was widely recognized as "Guru." His teachings emphasized performing one's duty for its inherent value, irrespective of desired outcomes.
Step 3: Incorrect Options Discarded.
- Option (1) Kumarilabhattah: Established the Bhatta school, not Gurusampradaya.
- Option (2) Prabhakarmishrah: Correct; founder of Gurusampradaya.
- Option (3) Murarimishrah: A later scholar, not the founder.
- Option (4) Mandan Mishrah: A philosopher associated with Advaita Vedanta.
Step 4: Final Determination.
Consequently, Prabhakarmishrah is identified as the proponent of the Gurusampradaya within Mimansa Philosophy.