The correct answer is (b).
The Nyaya philosophical system was propagated by Gautama Aksapada. It is one of the six orthodox schools of Hindu philosophy. The Nyaya school is based on the premise that knowledge is possible and that it can be used to achieve liberation from suffering. The Nyaya school’s epistemology is based on the theory of pramana, which is the means of valid knowledge. The Nyaya school’s metaphysics is based on the theory of atman, which is the individual soul. The Nyaya school’s ethics is based on the theory of dharma, which is the right way of living.
The other options are incorrect.
(a) Charvaka was a materialist philosopher who denied the existence of God, the soul, and the Vedas.
(c) Kapila was the founder of the Samkhya school of philosophy.
(d) Jamini was the founder of the Vaisheshika school of philosophy.