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Āstika and nāstika


Āstika (Sanskritआस्तिक āstika; "it exists") and Nāstika (नास्तिकnāstika; "it doesn't exist") are technical terms in Hinduism used to classifyphilosophical schools and persons, according to whether they accept the authority of the Vedas as supreme revealed scriptures, or not, respectively. By this definition, NyāyáVaiśeṣikaSāṃkhyaYogaMimāṃsā and Vedānta are classified as āstika schools; and some schools like CārvākaĀjīvika,Jainism and Buddhism are considered nāstika.  The distinction is similar to the orthodox/heterodox distinction in the West.
In non-technical usage, the term āstika is sometimes loosely translated as "theist", while nāstika is translated as "atheist".  However, this interpretation is distinct from the use of the term in Hindu philosophy. Notably even among the āstika schools, Sāṃkhya is an atheistic philosophy. 
The different usages of these terms are explained by Chatterjee and Datta as follows:
In modern Indian languages, "āstika" and "nāstika" generally mean "theist" and "atheist", respectively. But in Sanskrit philosophical literature, "āstika" means "one who believes in the authority of the Vedas" or "one who believes in life after death". ("nāstika" means the opposite of these). The word is used here in the first sense. In the second sense, even the Jaina and Buddha schools are "āstika", as they believe in life after death. The six orthodox schools are "āstika", and the Cārvāka is "nāstika" in both the senses.

 Classification of schools
Āstika
Several Indian intellectual traditions were codified during the medieval period into a standard list of six orthodox systems or ṣaḍdarśanas, all of which cite Vedic authority as their source. NyayaVaisheshikaSamkhyaYogaMimāṃsā and Vedanta are classified as āstika schools:
  1. Nyāyá, the school of justice
  2. Vaiśeṣika, the atomist school
  3. Sāṃkhya, the enumeration school
  4. Yoga, the school of Patañjali (which assumes the metaphysics of Sāṃkhya)
  5. Mimāṃsā, the tradition of Vedic exegesis
  6. Vedanta or Uttara Mimāṃsā, the Upaniṣadic tradition.
These are often coupled into three groups for both historical and conceptual reasons: Nyāyá-Vaiśeṣika, Sāṃkhya-Yoga, and Mimāṃsā-Vedanta.
Nāstika
The three main schools of Indian philosophy that do not base their beliefs on the Vedas were regarded as heterodox by Brahmins:
  1. Buddhism
  2. Jainism
  3. Cārvāka
The use of the term nāstika to describe Buddhism and Jainism in India is explained by Gavin Flood as follows:
At an early period, during the formation of the Upaniṣads and the rise of Buddhism and Jainism, we must envisage a common heritage of meditation and mental discipline practiced by renouncers with varying affiliations to non-orthodox (Veda-rejecting) and orthodox (Veda-accepting) traditions.... These schools [such as Buddhism and Jainism] are understandably regarded as heterodox (nāstika) by orthodox (āstika) Brahmanism.
 
Tantric traditions in Hinduism have both āstika and nāstika lines; as Banerji writes in "Tantra in Bengal":
Tantras are ... also divided as āstika or Vedic and nāstika or non-Vedic. In accordance with the predominance of the deity the āstika works are again divided as Śākta, Śaiva, Saura, Gāṇapatya and Vaiṣṇava.
 
Buddhist Usage
Although Buddhists have been branded by orthodox or mainstream Hinduism as Nastika, the Buddhists themselves have branded only the Cārvākas as Nastika. For example Nagarjuna wrote in his Ratnavali , that nastikya (nihilism) leads to hell while astikya (affirmation) leads to heaven. Further, the Madhyamika philosopher Chandrakirti, who was accused of being a Nastik, wrote in his Prasannapada that emptiness is a method of affirming neither being nor non-being and that nihilists are actually naive realists because they assume that things of this world have self-existent natures , whereas Madhyamikas view all things as arising dependently within the context of casual conditions.