Buddhism is not a school of Indian philosophy, but rather a religion.

Nyaya philosophy is primarily concerned with the study of inference and its role in knowledge.

Vaisesika philosophy is known for its theory of atomism, which posits that all matter is composed of indivisible particles called atoms.

Samkhya philosophy is primarily concerned with the study of Prakriti, the material cause of the universe.

Yoga philosophy is known for its theory of yoga, which is a system of physical, mental, and spiritual practices designed to achieve liberation from suffering.

Mimamsa philosophy is primarily concerned with the study of Dharma, which is the concept of moral and ethical duty.

Vedanta philosophy is known for its theory of Advaita Vedanta, which posits that the individual soul (Atman) is identical with the universal soul (Brahman).

Jainism is primarily concerned with the practice of Ahimsa, or non-violence.

Buddhism is known for its theory of Buddhism, which posits that the goal of life is to achieve Nirvana, a state of liberation from suffering.

Sikhism is primarily concerned with the belief in Ek Onkar, or the oneness of God.

Bhakti philosophy is known for its theory of Bhakti, or devotion to God.

Tantra is primarily concerned with the practice of ritual, which is believed to be a means of achieving spiritual liberation.

Kashmir Shaivism is known for its theory of Kashmir Shaivism, which posits that the universe is a manifestation of Shiva, the supreme god.

Advaita Vedanta is primarily concerned with the belief in Brahman, the universal soul, and its identity with the individual soul (Atman).

Dvaita Vedanta is known for its theory of Dvaita Vedanta, which posits that the individual soul (Atman) is distinct from the universal soul (Brahman).