The correct answer is (c) Kapil.
Sankhya is a school of Hindu philosophy that teaches that the universe is made up of two fundamental principles: Purusha (consciousness) and Prakriti (matter). Purusha is eternal and unchanging, while Prakriti is constantly changing. The goal of life is to achieve liberation from the cycle of rebirth by understanding the difference between Purusha and Prakriti.
Gautama is the founder of the Nyaya school of Hindu philosophy. Jamini is the founder of the Vaisheshika school of Hindu philosophy. Patanjali is the founder of the Yoga school of Hindu philosophy.
The Nyaya school of Hindu philosophy teaches that the universe is made up of six categories: substance, quality, action, generality, particularity, and inherence. The goal of life is to achieve liberation from the cycle of rebirth by understanding the nature of reality.
The Vaisheshika school of Hindu philosophy teaches that the universe is made up of nine categories: substance, quality, action, universal, particular, inherence, conjunction, disjunction, and non-existence. The goal of life is to achieve liberation from the cycle of rebirth by understanding the nature of reality.
The Yoga school of Hindu philosophy teaches that the goal of life is to achieve liberation from the cycle of rebirth by controlling the mind and body. The Yoga Sutras of Patanjali are the foundational text of this school of philosophy.