The Nyaya Sutras is a collection of aphorisms or short statements that outline the basic principles and concepts of the Nyaya school of philosophy. It is attributed to Gautama and is considered to be the foundational text of the Nyaya tradition.

The Nyaya school of philosophy is primarily concerned with logic and reasoning. It emphasizes the importance of using logical arguments and evidence to arrive at valid conclusions. Nyaya philosophers developed various logical tools and techniques to analyze and evaluate arguments.

Anumana (inference) is a central concept in Nyaya philosophy. It refers to the process of deriving new knowledge or conclusions from existing knowledge or evidence. Nyaya philosophers developed various types of inferences and formulated rules for valid reasoning.

Pramana is the term used in Nyaya philosophy to refer to the means of valid knowledge. It encompasses various sources and methods through which reliable knowledge can be acquired. Nyaya philosophers identified four Pramanas: Pratyaksha (perception), Anumana (inference), Sabda (verbal testimony), and Upamana (comparison).

Arthapatti (postulation) is not considered a valid means of knowledge according to Nyaya philosophy. Nyaya philosophers recognized four Pramanas: Pratyaksha (perception), Anumana (inference), Sabda (verbal testimony), and Upamana (comparison). Arthapatti, which involves inferring a proposition based on its necessity or plausibility, is not included among the valid Pramanas in Nyaya.

Hetvabhasa is the term used in Nyaya philosophy to refer to the logical fallacies or errors in reasoning. Nyaya philosophers identified various types of Hetvabhasas, which include fallacies related to the misuse of evidence, invalid inferences, and faulty reasoning.

Affirming the consequent is an example of a Hetvabhasa (logical fallacy) in Nyaya philosophy. It occurs when someone assumes that because the consequent of a conditional statement is true, the antecedent must also be true. This is a logical fallacy because the truth of the consequent does not necessarily imply the truth of the antecedent.

Yukti is the term used in Nyaya philosophy to refer to the process of arriving at a valid conclusion based on evidence and logical reasoning. It involves using logical arguments and evidence to support a claim or proposition. Yukti is considered an essential aspect of Nyaya philosophy's emphasis on logic and reasoning.

Asatkarya is a key concept in Nyaya philosophy related to the theory of causation. It refers to the idea that an effect cannot be produced from a non-existent cause. Nyaya philosophers argued that an effect must pre-exist in its cause in some form, either as a potential or actual entity.

Atman is the term used in Nyaya philosophy to refer to the theory that the soul is eternal and distinct from the body. Nyaya philosophers argued that the Atman is a conscious, immaterial entity that is the true self of an individual. They believed that the Atman is not affected by the changes and transformations of the physical body.

Svaprakasha is a key concept in Nyaya philosophy related to the theory of knowledge. It refers to the idea that consciousness is self-illuminating and does not require an external source of light to be known. Nyaya philosophers argued that consciousness is inherently luminous and reveals itself to itself without the need for any external objects or mental constructs.

Moksha is the term used in Nyaya philosophy to refer to the process of liberation or release from the cycle of rebirth. Nyaya philosophers believed that the ultimate goal of human life is to achieve Moksha, which involves breaking free from the limitations of the physical world and attaining a state of pure consciousness and bliss.

Karma is a key concept in Nyaya philosophy related to the theory of action. It refers to the idea that every action has consequences, both positive and negative. Nyaya philosophers believed that individuals are responsible for their actions and that their actions determine their future destiny. They emphasized the importance of performing righteous actions and avoiding unrighteous ones in order to achieve a good life.

Ashramas are the four stages of life in Nyaya philosophy. They are Brahmacharya (student), Grihastha (householder), Vanaprastha (forest dweller), and Sannyasa (renunciate). Nyaya philosophers believed that individuals should progress through these stages in order to achieve spiritual fulfillment and liberation.

Sphota is a key concept in Nyaya philosophy related to the theory of language. It refers to the idea that a word or sentence has a single, indivisible meaning that is revealed when it is uttered or heard. Nyaya philosophers argued that the meaning of a word or sentence is not simply the sum of its parts but rather a holistic entity that is apprehended as a whole.