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The orthodox schools are traditionally counted as six in number (shaD darSana), usually<br />

grouped in pairs, to form three pairs. These are:<br />

• nyAya and vaiSeshika<br />

• yoga and sAm.khya<br />

• pUrva and uttara mImAm.sA (The word mImAm.sA usually refers to pUrva<br />

mImAm.sA, while uttara mImAm.sA is more popularly called vedAnta.)<br />

nyAya-vaiSeshika: nyAya is the school of Indian logic. It is based on the nyAya sUtras<br />

of gautama, and a long tradition of commentaries. It is very realistic in outlook, and has<br />

historically amalgamated itself with the vaiSeshika, which is the old Indian school of<br />

atomism. The vaiSeshika sUtras of kaNAda (or kaNabhuk, the `atom-eater') and its line<br />

of commentaries form the basis of this school. Here, the entire universe is considered to<br />

be ultimately composed of `atoms' (aNu)of the old five elements (earth, water, fire, light<br />

and space). Laws of combination of atoms to form `molecules' (dvyANuka, tryANuka<br />

etc.) were also formulated. Authors of nyAya and vaiSeshika works freely drew upon<br />

each other's principles, to form the combined school.<br />

According to nyAya-vaiSeshika thought, the individual soul is supposed to be a<br />

substance, atomic in size and other qualities. Another one of the important features of<br />

nyAya thought is that it offers a number of cosmological, teleological and anthropic<br />

arguments for the existence of a Creator God. The vedas are generally regarded to be<br />

compositions of this Creator. The standard solution to the question of human liberation<br />

is to follow the teachings of the vedas, and perform the requisite sacrifices, in order to<br />

attain a heaven. A number of these arguments are extremely similar to those offered by<br />

theologians from the Judaic, Christian and Islamic religions. The nyAya-vaiSeshika<br />

school has not seen any new developments for a long time now. They have been mostly<br />

replaced by the navya-nyAya (neo-nyAya) school, which specializes in a rigorous logical<br />

formalism, comparable with modern mathematical formal logic.<br />

sAm.khya-yoga: The first teacher of the sAm.khya school is said to be kapila, one of<br />

the famous Rshis or siddhas in Indian mythology. The oldest texts of the sAm.khya<br />

school are the sAm.khya kArikas of ISvarakRshNa. This text and its commentaries<br />

enumerate 24 fundamental principles, which constitute the universe. 22 of these are<br />

evolutes of one more basic principle, called prakRti. The other principle is purusha, the<br />

individual soul, whose liberation consists of isolation from prakRti. Thus, the basic<br />

scheme is one of duality, based on two fundamental principles, prakRti and purusha,<br />

although this school also allows for an infinite number of purushas. There is no real<br />

place for a Creator God in this scheme, nor is there any great emphasis on the vedas.<br />

However, none of the sAm.khya authors explicitly deny the validity of the vedas, which<br />

allows their inclusion among the Astika thinkers. There is another set of texts, deriving<br />

from the so-called sAm.khya sUtras, attributed to kapila. There is a commentary in this<br />

line, by vijnAnabhikshu, a 17th century author, but after him, there has not been much<br />

development of sAm.khya thought.

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