The Nyaya school, founded by Aksapada Gautama, is primarily concerned with epistemology, the study of knowledge and its sources. It seeks to establish a rigorous methodology for acquiring valid knowledge and distinguishing it from false beliefs.

The Vaisheshika school, founded by Kanada, is known for its atomistic theory, which posits that all matter is composed of indivisible and indestructible atoms. These atoms combine to form various substances and objects.

The Yoga school, founded by Patanjali, focuses on the practice of yoga as a means to achieve self-realization and liberation. It emphasizes the control of the mind and body through various techniques, including meditation and physical postures.

The Mimamsa school, founded by Jaimini, is primarily concerned with the interpretation of the Vedas, the sacred texts of Hinduism. It seeks to understand the meaning and significance of Vedic rituals and their role in achieving spiritual liberation.

The Vedanta school, founded by Badarayana, is a major school of Hindu philosophy that emphasizes the ultimate reality of Brahman, the universal consciousness or ground of being. It seeks to understand the relationship between Brahman and the individual soul, and the path to liberation from suffering.

The Charvaka school, founded by Brihaspati, is a materialistic and hedonistic school of Indian philosophy. It rejects the existence of anything beyond the physical world and emphasizes the pursuit of pleasure as the highest good.

The Samkhya school, founded by Kapila, is known for its concept of 'gunas' or qualities, which are the fundamental constituents of all matter and consciousness. These qualities are sattva (goodness), rajas (passion), and tamas (darkness).

The Buddhist school of Indian logic, founded by Siddhartha Gautama, emphasizes the concept of 'anatta' or no-self. It rejects the idea of a permanent and unchanging self and instead posits that all phenomena, including the self, are impermanent and interconnected.

The Nyaya school, founded by Aksapada Gautama, places great importance on the validity of inference as a means of acquiring knowledge. It develops a rigorous system of logical reasoning and syllogistic arguments to establish the truth of propositions.

The Jaina school, founded by Mahavira, emphasizes the principle of non-violence and ahimsa (non-injury) as the highest moral virtue. It seeks to understand the nature of reality and the path to liberation from suffering through the practice of non-violence and ethical conduct.

The Yoga school, founded by Patanjali, emphasizes the concept of 'moksha' or liberation as the ultimate goal of human existence. It seeks to achieve this liberation through the practice of yoga, which involves self-discipline, meditation, and the control of the mind and body.

The Advaita Vedanta school, founded by Adi Shankara, is a non-dualistic school of Indian philosophy that emphasizes the unity of Brahman, the ultimate reality, and Atman, the individual soul. It seeks to understand the nature of reality and the path to liberation through the realization of this unity.

The Mimamsa school, founded by Jaimini, places great importance on the role of language in understanding reality. It emphasizes the study of the Vedas, the sacred texts of Hinduism, and seeks to interpret their meaning and significance through linguistic analysis and hermeneutics.

The Navya-Nyaya school, founded by Gangesha Upadhyaya, is a later development of the Nyaya school that focuses on epistemology and the theory of knowledge. It seeks to refine and systematize the Nyaya methodology for acquiring valid knowledge and distinguishing it from false beliefs.

The Samkhya school, founded by Kapila, includes the concept of 'karma' and rebirth as part of its metaphysical framework. It posits that the actions of an individual in one life determine their fate and circumstances in subsequent lives.