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Four Orthodox Schools: Nyaya, Vaisheshika, Samkhya, and Mimamsa

Hindu philosophy traditionally recognises six orthodox schools of thought. Four of them, Nyaya, Vaisheshika, Samkhya, and Mimamsa, built distinct systems of logic, physics, and ritual interpretation.

A statue of the sage Yajnavalkya in the Mithila region of Bihar
A statue of the sage Yajnavalkya, Mithila region, Bihar, historically a major centre for Nyaya philosophy debate. Wikimedia Commons (CC BY-SA 4.0).
📑 Contents
📚 Six Schools, Paired Into Three
Nyaya + Vaisheshika Logic and physics Nyaya: formal reasoning, the five-step syllogism Vaisheshika: atomism, categories of reality Nyaya’s tools prove Vaisheshika’s categories Samkhya + Yoga Psychology and practice Samkhya: Purusha-Prakriti dualism, theory of mind Yoga: the practical discipline built on it Theory feeding practice, directly Mimamsa + Vedanta Ritual and metaphysics Mimamsa: correct Vedic ritual performance Vedanta: knowledge of ultimate reality, Brahman Same Vedic root, opposite questions
Six orthodox schools, deliberately organised into three complementary pairs.
Six Schools, Paired Into Three
  • School PairingsThe six orthodox schools are traditionally grouped in three pairs: Nyaya-Vaisheshika, Samkhya-Yoga, and Mimamsa-Vedanta.
  • WhyEach pair shares closely related concerns, one contributing the theory and the other applying it, or one handling logic while the other handles the physical world it reasons about.
  • So whatThis pairing was a deliberate act of systematising Indian philosophy, not an accident of history — six schools organised into three domains rather than left as six unrelated systems.
📚 Nyaya and Vaisheshika: Logic and Physics
Nyaya: A Formal System of Logic
  • Nyaya FounderThe Nyaya school, founded by Gautama, developed a formal system of logic.
  • HowIt centres on structured reasoning, including a form of syllogism used to establish valid knowledge.
Vaisheshika: An Early Theory of Atoms, and Logic and Physics as Complementary Tools, and The Five-Step Argument Behind Nyaya Logic, and Vaisheshika’s Seven Boxes for All of Reality, and An Independent Echo of Greek Atomism
  • Vaisheshika AtomismThe Vaisheshika school, founded by Kanada, developed an early theory of atomism.
  • HowIt classified reality into distinct categories of substance.
  • Nyaya-Vaisheshika LinkNyaya’s formal logic and Vaisheshika’s physical categories were later treated as complementary systems.
  • TakeawayNyaya’s reasoning tools were often applied to establish the very categories Vaisheshika described.
  • Panchavayava StepsNyaya’s syllogism is not a bare two-line deduction. It has five distinct steps, called the Panchavayava.
  • HowThe classic example: “The mountain is fiery” (the proposition), “because it has smoke” (the reason), “whatever has smoke is fiery, like a kitchen” (a general rule plus a concrete example), “the mountain has smoke” (applying the rule to this case), and finally “therefore the mountain is fiery” (the conclusion).
  • TakeawayUnlike a standard Western syllogism, Nyaya insists on a real-world example at step three. This grounds abstract reasoning in something the listener can actually picture.
  • Padartha CategoriesVaisheshika’s atomism came with a companion project: sorting everything that exists into a fixed set of categories, called padarthas.
  • HowSubstance, quality, action, generality, particularity, and inherence made up the original six. A seventh, non-existence, was added later by thinkers like Sridhara and Udayana, once the school grew more concerned with how we know something is absent, not just what is present.
  • TakeawayAdding a category just to classify absence shows how seriously Vaisheshika took the project of accounting for literally everything, including the negative case.
  • Atomism ComparisonVaisheshika’s atomism, developed independently in ancient India, is often compared to early Greek atomist thought.
  • TakeawayThe two systems arose from very different philosophical starting points, showing how similar physical intuitions can emerge from separate traditions.
📚 Samkhya and Mimamsa: Consciousness, Ritual, and Metaphysics
Samkhya: Consciousness and Matter
  • Samkhya DualismThe Samkhya school proposes a dualism between Purusha, consciousness, and Prakriti, matter or nature.
  • HowLiberation comes through correctly distinguishing between the two.
Mimamsa: Getting Ritual Right
  • Mimamsa FounderThe Mimamsa school, founded by Jaimini, focused on interpreting Vedic ritual injunctions.
  • HowIt treated correct ritual performance as central to dharma.
Theory Feeding Practice: Samkhya and Yoga, and Mimamsa vs Vedanta: Ritual vs Metaphysics
  • Mimamsa FocusMimamsa’s intense focus on ritual precision made it less concerned with metaphysical speculation than schools like Vedanta.
  • TakeawayIts central question was how to correctly interpret and perform Vedic injunctions, not what ultimate reality consists of.
Exam Point of View
CDS II 2022: Kumarila Bhatta and Prabhakara’s School
  • PYQCDS asked which school of philosophy Kumarila Bhatta and Prabhakara belonged to. The answer is Purva-Mimamsa, the school focused on ritual and Vedic duty (as opposed to Uttara-Mimamsa/Vedanta’s focus on knowledge of Brahman).
  • LinkSource: CDS II 2022 (see Q37).
Not Charvaka: A Common Exam Mix-Up
  • PYQCDS II 2022 asked which of the following are Charvaka schools of philosophy: Dhurtta, Nyaya, Sushikshita, and Vaisheshika.
  • AnswerDhurtta and Sushikshita only. The correct answer is (d), 1 and 3.
  • WhyNyaya and Vaisheshika are two of the six orthodox schools covered in this very article, not sub-schools of the heterodox, materialist Charvaka. Dhurtta and Sushikshita are Charvaka’s own two internal divisions: Dhurtta rejected the soul entirely, while Sushikshita accepted a soul that simply perishes with the body. Confusing orthodox school names with Charvaka’s internal sub-schools is exactly the trap this question sets. See AncHist0116 — Charvaka (Lokayata) for the heterodox side of this contrast.
  • LinkVerified against Prepp, Charvaka School or Lokayata Philosophy.
“Orthodox” Doesn’t Mean Believing in God
  • Astika-Nastika DistinctionThe Sanskrit terms astika (orthodox) and nastika (heterodox) are often mistranslated as “theist” and “atheist.” The real dividing line is acceptance of Vedic authority, not belief in God.
  • WhySamkhya, and the early Mimamsa school, do not require belief in a creator God, yet both remain astika because they accept the Vedas as authoritative. This is a genuinely counter-intuitive exam point: a school can be officially “orthodox” while staying silent on, or even rejecting, a personal God.
  • LinkVerified against Britannica, Astika.
Current Affairs / So What
The Government Now Funds Research Into These Very Schools
  • DevelopmentThe Ministry of Education runs a dedicated Indian Knowledge Systems Division under AICTE, which lists Nyaya, Vaisheshika, Samkhya, and Mimamsa among its core research areas.
  • FundingIn early 2025 the division opened its 2025-26 round of IKS Postdoctoral Fellowships, worth up to ₹1,00,000 a month, alongside dedicated IKS Research Centre grants.
  • CurriculumUGC has separately mandated that every undergraduate programme carry Indian Knowledge Systems credits worth at least 5% of total coursework, so these six schools are no longer just exam trivia but active university curriculum.
  • SourceAICTE, Indian Knowledge Systems Division.
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