The Six Orthodox Systems: Sānkhya, Yoga, Nyāya, Vaiśeṣika, Mīmāṃsā and Vedānta

This is the first chapter of Section XH4.1 Classical Indian Philosophy, one of the four sections of the Philosophy option (XH4) of the Humanities and Social Sciences (XH) paper, an option a candidate chooses at application. It answers the first part of the heading, “Orthodox Systems: Sānkhya … Yoga … Nyāya … Vaiśeṣika … Mīmāṃsā … Vedānta – Advaita … Viśiṣṭādvaita … Dvaita, Dvaitādvaita, Śuddhādvaita, Pramāṇa in Advaita and Viśiṣṭādvaita”: the six āstika darśanas that accept the authority of the Veda. It teaches each school's metaphysics and its key doctrines — Sānkhya's puruṣa, prakṛti, guṇas and satkāryavāda; Yoga's citta, kleśa and aṣṭāṅga; Nyāya's logic, hetvābhāsa and asatkāryavāda; Vaiśeṣika's padārthas and atomism; Mīmāṃsā's dharma and apūrva; and the five Vedānta schools (Advaita, Viśiṣṭādvaita, Dvaita, Dvaitādvaita, Śuddhādvaita) — together with each school's pramāṇas (means of valid knowledge) and its theory of error (khyātivāda). The traps are close pairs: satkāryavāda against asatkāryavāda, Kumārila against Prabhākara, and which school owns which theory of error.

1. Sānkhya and Yoga: puruṣa, prakṛti and the eightfold path

Sānkhya (attributed to the sage Kapila) is a dualism of two ultimate, eternal principles: puruṣa, pure consciousness, which is inactive, attributeless and a mere witness (sākṣin), and which is plural (many selves); and prakṛti, the one unconscious primordial matter from which the whole world evolves. Prakṛti is made of three guṇas — sattva (lightness, illumination), rajas (activity, passion) and tamas (inertia, darkness). When the guṇas are in equilibrium prakṛti is unmanifest; the mere presence of puruṣa disturbs the balance and evolution begins: mahat (buddhi) → ahaṃkāra → manas, the ten senses and five tanmātras → the five gross elements, giving twenty-five tattvas in all (twenty-four plus puruṣa).

Sānkhya holds satkāryavāda: the effect pre-exists in its cause (oil is already in the seed), so production is only the manifestation of what was latent; its specific form is pariṇāmavāda, real transformation. Mokṣa is kaivalya — the isolation of puruṣa, won by viveka, the discriminative knowledge that puruṣa is wholly distinct from prakṛti and buddhi; prakṛti then ceases to act for that self, like a dancer who leaves the stage once seen. Sānkhya accepts three pramāṇas: pratyakṣa (perception), anumāna (inference) and śabda (valid testimony). Error (viparyaya) is classed into five kinds and stems from failing to discriminate self from not-self.

Yoga (Patañjali's Yoga-sūtra) shares Sānkhya's metaphysics and the same three pramāṇas, so it is called seśvara Sānkhya — Sānkhya with God. Its Īśvara is not a creator but a special puruṣa (puruṣa-viśeṣa) untouched by afflictions, action and their residues, the teacher of the ancient teachers, denoted by Oṃ; devotion to Īśvara is an aid to concentration. The mind-stuff is citta, and yoga is defined as citta-vṛtti-nirodha, the restraint of the modifications of the mind. The five kleśas (afflictions) are avidyā (ignorance, the root), asmitā (egoism), rāga (attachment), dveṣa (aversion) and abhiniveśa (clinging to life).

  • Aṣṭāṅga-yoga, the eight limbs: yama (restraints), niyama (observances), āsana (posture), prāṇāyāma (breath-control), pratyāhāra (withdrawal of the senses), dhāraṇā (concentration), dhyāna (meditation) and samādhi (absorption). The first five are external aids (bahiraṅga) and the last three, taken together, are saṃyama, the internal discipline (antaraṅga).
  • Kaivalya (mokṣa) in Yoga is the same isolation of puruṣa as in Sānkhya, reached when the modifications cease and consciousness rests in its own nature (svarūpa). The route differs: Sānkhya reaches it mainly by knowledge, Yoga by disciplined practice.
  • Pramāṇas and error in Yoga: Patañjali accepts the same three pramāṇas (pratyakṣa, anumāna, āgama). He defines viparyaya (error) as false knowledge not resting on the true nature of its object, and avidyā is its root among the kleśas. In textbook classifications the Sānkhya-Yoga theory of error is labelled sadasatkhyāti, the apprehension of the real and unreal together.
⚠️ Puruṣa is many, not one
A common slip is to read Sānkhya's puruṣa like Advaita's one Brahman. Sānkhya argues for a plurality of puruṣas from the fact that births, deaths and endowments differ across individuals. Equally, prakṛti is one but unconscious, while puruṣa is conscious but inactive — neither alone can explain experience, which is why both are needed.

2. Nyāya and Vaiśeṣika: logic, categories and atomism

Nyāya (Gautama) is the school of logic and epistemology. It accepts four pramāṇas: pratyakṣa, anumāna, upamāna (comparison, knowing a thing from likeness to a known one) and śabda (reliable verbal testimony). Its inference is a five-membered syllogism — pratijñā (thesis), hetu (reason), udāharaṇa (example with the universal rule, vyāpti), upanaya (application) and nigamana (conclusion) — resting on vyāpti, the invariable concomitance of the reason with what is to be proved. A defective reason is a hetvābhāsa (fallacy).

  • The five hetvābhāsas: savyabhicāra (the irregular reason, present also where the predicate is absent), viruddha (the contradictory reason, proving the opposite), satpratipakṣa (a reason counterbalanced by an equal opposing reason), asiddha (the unproved reason) and bādhita (the reason whose conclusion is contradicted by a stronger proof).
  • Nyāya is theistic: God (Īśvara) is proved by inference as the intelligent efficient cause of the world — the world, being an effect (a product made of parts), needs an intelligent maker. God is the operative, not material, cause.

Nyāya holds asatkāryavāda (ārambhavāda): the effect does not pre-exist in its cause but is a genuinely new beginning — the cloth is a new whole (avayavī) over and above the threads. This directly opposes Sānkhya's satkāryavāda. Navya-Nyāya, the "new logic" founded by Gaṅgeśa (Tattvacintāmaṇi, c. 13th–14th century) and refined by Raghunātha Śiromaṇi, gave Indian logic a precise technical language for relations, negation and the limiting conditions (avacchedaka) of a cognition, without using symbols.

Vaiśeṣika (Kaṇāda), the sister school, is a pluralistic realism built on categories (padārthas): originally six — dravya (substance), guṇa (quality), karma (action), sāmānya (universal), viśeṣa (ultimate particularity, the source of the school's name) and samavāya (inherence) — with a seventh, abhāva (non-existence), added later. Its nine substances include the four elements, ākāśa, kāla, dik, ātman and manas. Its paramāṇuvāda (atomism) holds that earth, water, fire and air are built from eternal, partless atoms: two atoms make a dyad (dvyaṇuka) and three dyads a triad (tryaṇuka), the smallest visible thing. Vaiśeṣika accepts only two pramāṇas (perception and inference) and, with Nyāya, holds parataḥprāmāṇya — the validity of knowledge is extrinsic, established and known through external conditions.

3. Mīmāṃsā: dharma, apūrva, and Kumārila versus Prabhākara

Pūrva-Mīmāṃsā (Jaimini) is the philosophy of Vedic ritual and the interpretation of injunction. Its subject is dharma, defined as that which is known only through Vedic command (codanā) — the right ritual action. Because a sacrifice (yajña) is performed now but bears fruit later (for example heaven), Mīmāṃsā posits apūrva, an unseen potency created by the act that persists and yields the result at the proper time, bridging act and fruit. Later Mīmāṃsakas admit mokṣa, won by discharging the obligatory (nitya and naimittika) duties, avoiding the prohibited, and not undertaking desire-driven (kāmya) rites, so that karma is exhausted and rebirth ends.

The two Mīmāṃsā schools divide over the pramāṇas. Kumārila Bhaṭṭa (the Bhāṭṭa school) accepts six: pratyakṣa, anumāna, upamāna, śabda, arthāpatti (postulation — assuming a fact to explain what would otherwise be inexplicable, as "fat Devadatta eats nothing by day" implies he eats at night) and anupalabdhi (non-apprehension, the means by which we know a non-existence). Prabhākara (the Prābhākara school) accepts only five: he rejects anupalabdhi because he does not admit abhāva as a separate reality. Both schools hold svataḥprāmāṇya, the intrinsic validity of knowledge — every cognition is valid of itself, and only error is caused by extraneous defects.

Their theories of error also differ. Kumārila holds viparītakhyāti — a positive misapprehension in which the present object (the shell) is cognised as what it is not, a silver known from elsewhere being wrongly identified with it; this is a close kin of Nyāya's anyathākhyāti ("cognition otherwise"). The usual textbook split gives the name anyathākhyāti to Nyāya and viparītakhyāti to Kumārila; the syllabus heading lists anyathākhyāti under Mīmāṃsā, and some sources use that name for the Bhāṭṭa position as well, so read the two names as near-synonyms. Prabhākara holds akhyāti (vivekākhyāti) — there is strictly no false cognition at all; the shell is perceived, the silver is remembered, and error is only the failure to discriminate these two true cognitions and the mistaken action that follows.

🎯 Why svataḥ versus parataḥ matters
If the validity of a cognition had to be certified by a further cognition (parataḥ, as Nyāya holds), that one would need certifying too, and so on without end. Mīmāṃsā's svataḥprāmāṇya stops the regress by making truth self-evident and only falsity caused — which is exactly what lets the Veda, being authorless (apauruṣeya), be a self-valid source of dharma.

4. Advaita Vedānta: Brahman, adhyāsa and māyā

Vedānta (Uttara-Mīmāṃsā) interprets the Upaniṣads, the Brahma-sūtra and the Gītā — the prasthāna-trayī. Śaṅkara's Advaita (non-dualism) holds that Brahman, pure being-consciousness-bliss (sat-cit-ānanda) and without qualities (nirguṇa), is the sole reality; the plural world is mithyā, a false appearance projected by māyā (avidyā), neither real nor unreal. The world is an apparent transformation of Brahman (vivartavāda), not a real one — unlike Sānkhya's pariṇāmavāda. In its standard exposition Advaita distinguishes three grades of reality: pāramārthika (absolute, Brahman), vyāvahārika (empirical, the workaday world) and prātibhāsika (illusory, the dream or the rope-snake).

The root of bondage is adhyāsa, superimposition: the beginningless mutual superimposition of the self and the not-self, so that one says "I am this body, this is mine." Īśvara is Brahman seen through māyā — saguṇa Brahman, the creator-God, real at the empirical level but not ultimate. The jīva (individual self) is Brahman delimited by the internal organ (antaḥkaraṇa): on the limitation view (avaccheda) like space enclosed in a pot, on the reflection view (pratibimba) like the sun mirrored in water. Ātman is Brahman — "tat tvam asi." Mokṣa is the removal of avidyā by direct knowledge (jñāna) of this identity, and may be attained while living (jīvanmukti).

On knowledge, Advaita follows the Bhāṭṭa list of six pramāṇas and holds svataḥprāmāṇya; but śabda (śruti) alone can reveal Brahman, since perception and inference reach only the empirical. Advaita's theory of error is anirvacanīyakhyāti — the illusory silver is indescribable (anirvacanīya), being neither real (it is sublated) nor unreal (it does appear); this same logic is extended to the world itself, which is why Advaita's model of ordinary illusion mirrors its account of cosmic appearance.

5. Viśiṣṭādvaita, Dvaita, Dvaitādvaita and Śuddhādvaita

Viśiṣṭādvaita (Rāmānuja) is qualified non-dualism: Brahman (Viṣṇu-Nārāyaṇa) is the sole reality but is qualified by the conscious selves (cit) and unconscious matter (acit), which form His body and are inseparable (apṛthak-siddhi) from Him. These are the tattva-traya — three reals: Īśvara, cit and acit. Souls and matter are real and eternal modes of Brahman, so the world is a real transformation of Brahman's body, not an illusion. Rāmānuja refutes Māyāvāda with his seven objections (sapta-vidha-anupapatti) — the Advaitin can give no coherent locus, nature, or means of removal for an avidyā that could obscure a self-luminous Brahman. Brahman is saguṇa, full of infinite auspicious qualities. Mokṣa is won by bhakti and prapatti (self-surrender) and by God's grace; the freed soul attains loving communion with God and keeps its individuality.

  • Dvaita (Madhva) is thoroughgoing dualism. God (Viṣṇu) is independent (svatantra) and souls and matter are dependent (paratantra); there are five eternal differences (pañca-bheda): God–soul, God–matter, soul–soul, soul–matter and matter–matter. Souls are graded (tāratamya), and uniquely Madhva teaches that some souls are fit only for eternal bondage. Liberation is by God's grace, aided by bhakti and knowledge.
  • Dvaitādvaita (Nimbārka), the bhedābheda or "difference-and-non-difference" view: the soul and the world are both different from and non-different from Brahman (Kṛṣṇa), as the sun's rays are to the sun — distinct yet inseparable. Three realities (cit, acit, Īśvara) are affirmed, and mokṣa comes through bhakti, prapatti and grace.
  • Śuddhādvaita (Vallabha), "pure" non-dualism: Brahman (Kṛṣṇa) is pure (śuddha), free of any māyā, and the world and souls are real manifestations and parts (aṃśa) of Brahman, not illusory — hence "pure" as against Śaṅkara's advaita, which Vallabha reads as qualified by māyā. Liberation is by God's grace alone (puṣṭi-mārga, the path of grace) and loving devotion.

On knowledge, both Viśiṣṭādvaita and Dvaita accept three pramāṇas — pratyakṣa, anumāna and śabda (āgama). Rāmānuja's theory of error is satkhyāti (yathārthakhyāti): every cognition apprehends something real, for by the Upaniṣadic trebling of the elements (trivṛt-karaṇa) even the shell holds a real portion of the "silver" element, so the perception, though practically misleading, is of a real content. There is thus no cognition of the simply non-existent.

6. Comparing the schools: pramāṇas, causation and error

Three axes separate the orthodox schools cleanly and are the commonest exam ground: how many pramāṇas a school admits, whether it holds satkāryavāda or asatkāryavāda, and which khyātivāda (theory of error) it owns. The number of pramāṇas rises as a ladder, each school adding one means over the last.

Pramāṇas accepted by each school
SchoolNumberMeans accepted
Vaiśeṣika; Buddhism2Perception, inference
Sānkhya, Yoga; Viśiṣṭādvaita, Dvaita3+ verbal testimony (śabda)
Nyāya4+ comparison (upamāna)
Prābhākara Mīmāṃsā5+ postulation (arthāpatti)
Bhāṭṭa Mīmāṃsā; Advaita6+ non-apprehension (anupalabdhi)
Who owns which theory of error
Theory of errorSchoolCore idea
AnyathākhyātiNyāya-VaiśeṣikaA real object elsewhere is apprehended as the "this"
AkhyātiPrabhākaraNo false cognition; only non-discrimination of two true ones
ViparītakhyātiKumārila (Bhāṭṭa)A present object positively misapprehended as another (close kin of anyathākhyāti)
AnirvacanīyakhyātiAdvaitaThe illusory content is indescribable, neither real nor unreal
Satkhyāti / yathārthakhyātiRāmānujaEvery cognition grasps a real content
🧠 Reading the causation split
Satkāryavāda (effect pre-exists) is held by Sānkhya (as real change, pariṇāma), by Advaita (as apparent change, vivarta) and by Rāmānuja (as real change of Brahman's body). Asatkāryavāda (effect is a new beginning) is the Nyāya-Vaiśeṣika view. So "the pot is a new entity, not latent in the clay" is Nyāya-Vaiśeṣika, while "the pot was already in the clay" is Sānkhya.

Key takeaways

  • Sānkhya is a dualism of plural, inactive puruṣa and one unconscious prakṛti of three guṇas (sattva, rajas, tamas); it holds satkāryavāda (pariṇāma), three pramāṇas, and mokṣa as kaivalya by viveka. Yoga shares this, adds Īśvara as a special puruṣa, defines yoga as citta-vṛtti-nirodha, lists five kleśas and the eight limbs.
  • Nyāya has four pramāṇas, a five-membered syllogism, five hetvābhāsas, a theistic inference for God, and asatkāryavāda; Navya-Nyāya (Gaṅgeśa) is its technical logic. Vaiśeṣika has the padārthas, atomism (paramāṇuvāda), two pramāṇas and, with Nyāya, parataḥprāmāṇya.
  • Mīmāṃsā centres on dharma (Vedic injunction) and apūrva (the unseen link of act to fruit), holds svataḥprāmāṇya, and splits on pramāṇas — Kumārila six, Prabhākara five — and on error — Kumārila viparītakhyāti, Prabhākara akhyāti.
  • Advaita: nirguṇa Brahman is the sole reality, the world is mithyā by māyā (vivartavāda), bondage is adhyāsa, Īśvara is saguṇa Brahman, Ātman is Brahman, mokṣa is jñāna, error is anirvacanīyakhyāti, with six pramāṇas and svataḥ validity.
  • The other Vedāntas: Rāmānuja's Viśiṣṭādvaita (tattva-traya, body-of-God, refutation of māyāvāda, satkhyāti, mokṣa by bhakti), Madhva's Dvaita (five eternal differences, dependence on God), Nimbārka's Dvaitādvaita (bhedābheda) and Vallabha's Śuddhādvaita (pure non-dualism, real world, puṣṭi-mārga).
  • Three axes decide most questions: pramāṇa count (2 up to 6), satkāryavāda (Sānkhya, Vedānta) versus asatkāryavāda (Nyāya-Vaiśeṣika), and the owner of each khyātivāda on the usual textbook split (anyathā = Nyāya, akhyāti = Prabhākara, viparīta = Kumārila, anirvacanīya = Advaita, satkhyāti = Rāmānuja).

Practice questions (16)

Attempt each one before opening the answer. Every explanation names the tempting wrong option as well as the right one, because that is where marks are lost.

  1. In Sānkhya, prakṛti is constituted of three guṇas. Which triad names them?

    1. Dharma, artha and kāma, the first three aims pursued in life
    2. Sat, cit and ānanda, the threefold nature ascribed to Brahman
    3. Sattva, rajas and tamas
    4. Mati, śruta and kevala, three of the kinds of knowledge in Jainism
    Show answer

    Answer: C — Sattva, rajas and tamas

    Prakṛti is made of sattva (illumination), rajas (activity) and tamas (inertia); their disturbance from equilibrium starts evolution. Sat-cit-ānanda is Brahman's nature in Vedānta, dharma-artha-kāma are puruṣārthas, and mati-śruta-kevala are Jaina kinds of knowledge — none of these is the guṇa triad.
  2. On the Sānkhya view, mokṣa is kaivalya. Which statement captures what this liberation consists in?

    1. The isolation of puruṣa from prakṛti through the discriminative knowledge that the two are wholly distinct
    2. The merger of the individual self into the one attributeless Brahman, once avidyā has been removed by liberating knowledge
    3. Loving communion with a personal God, retaining individuality, won by devotion and divine grace
    4. The soul's rise to the summit of the universe after all karmic matter has been shed
    Show answer

    Answer: A — The isolation of puruṣa from prakṛti through the discriminative knowledge that the two are wholly distinct

    Sānkhya is dualist and pluralist: liberation is kaivalya, the puruṣa's isolation from prakṛti through viveka, with no God and no merger. Merger into nirguṇa Brahman is Advaita; communion with a personal God by grace is Viśiṣṭādvaita; rising to the universe's summit after shedding karma is the Jaina account.
  3. Patañjali defines yoga as cittavṛttinirodha. What does this mean?

    1. The identity-realisation of the individual self with the one Brahman
    2. The restraint or cessation of the modifications of the mind-stuff (citta)
    3. The performance of one's duty without any attachment to its fruits
    4. The eightfold path of right view and conduct taught by the Buddha
    Show answer

    Answer: B — The restraint or cessation of the modifications of the mind-stuff (citta)

    Yoga is the stilling of the citta's vṛttis (modifications), after which consciousness rests in its own nature. Identity with Brahman is the Advaita goal, desireless action is the Gītā's karma-yoga, and the eightfold path is the Buddhist mārga — none is Patañjali's definition.
  4. In Patañjali's Yoga, which statement about Īśvara is correct?

    1. Īśvara is saguṇa Brahman, the creator-God, real only at the empirical level of reality
    2. Īśvara is the material cause of the world, the single principle that evolves into it
    3. Īśvara is inferred as the intelligent maker of the world, since the world, being an effect made of parts, must have a maker
    4. Īśvara is a special puruṣa untouched by afflictions, action and their residues, and is not the creator of the world
    Show answer

    Answer: D — Īśvara is a special puruṣa untouched by afflictions, action and their residues, and is not the creator of the world

    Yoga's Īśvara is a puruṣa-viśeṣa free of kleśas, karma and their residues, an object of devotion and aid to concentration — not a creator and not the material cause. Saguṇa Brahman as empirical creator is Advaita's Īśvara, the inference from the world-as-effect is the Nyāya proof, and prakṛti, not Īśvara, is the material cause that evolves.
  5. Which of the following statements about Yoga's kleśas and aṣṭāṅga are correct?

    1. Avidyā (ignorance) is the root kleśa from which the others spring
    2. Prāṇāyāma is one of the three internal limbs that together make up saṃyama
    3. The last three limbs — dhāraṇā, dhyāna and samādhi — together form saṃyama
    4. Abhiniveśa is the kleśa of egoism, the sense of 'I'
    Show answer

    Answer: A — Avidyā (ignorance) is the root kleśa from which the others spring; C — The last three limbs — dhāraṇā, dhyāna and samādhi — together form saṃyama

    Avidyā is the root of the five kleśas, and dhāraṇā, dhyāna and samādhi (the last three limbs) together are saṃyama, the internal discipline. Prāṇāyāma is an external limb, not an internal one; and egoism is asmitā — abhiniveśa is the clinging to life or fear of death.
  6. How many pramāṇas does Nyāya accept, and what does it add to the three accepted by Sānkhya?

    1. Four — it adds upamāna (comparison) to perception, inference and testimony
    2. Two — it accepts only perception and inference and reduces the rest to these
    3. Six — it adds both arthāpatti (postulation) and anupalabdhi (non-apprehension)
    4. Five — it adds arthāpatti alone, as the Prābhākara school does
    Show answer

    Answer: A — Four — it adds upamāna (comparison) to perception, inference and testimony

    Nyāya accepts four pramāṇas by adding upamāna to the Sānkhya three. Two is Vaiśeṣika, six is Bhāṭṭa Mīmāṃsā and Advaita, and five (arthāpatti added) is Prābhākara Mīmāṃsā.
  7. A thinker argues that a woven cloth is a genuinely new whole (avayavī), over and above the threads, which did not exist in the threads before weaving. This position, and the school that holds it, are:

    1. Satkāryavāda in its pariṇāma (real transformation) form, held by Sānkhya
    2. Vivartavāda (apparent transformation), held by Advaita Vedānta
    3. Asatkāryavāda (ārambhavāda), held by Nyāya-Vaiśeṣika
    4. Satkhyāti (yathārthakhyāti), held by Rāmānuja's Viśiṣṭādvaita
    Show answer

    Answer: C — Asatkāryavāda (ārambhavāda), held by Nyāya-Vaiśeṣika

    That the effect is a new beginning not latent in its cause is asatkāryavāda (ārambhavāda), the Nyāya-Vaiśeṣika doctrine. Satkāryavāda (Sānkhya) and vivartavāda (Advaita) both say the effect pre-exists; satkhyāti is a theory of error, not of causation, so it is a category mismatch.
  8. From which of its categories (padārthas) does the Vaiśeṣika school take its name?

    1. Samavāya, the inseparable relation of inherence between a whole and its parts
    2. Viśeṣa, the ultimate particularity distinguishing one eternal atom from another
    3. Sāmānya, the universal shared by all members of a class, such as cowness in cows
    4. Dravya, the substance in which qualities and actions reside, such as earth or water
    Show answer

    Answer: B — Viśeṣa, the ultimate particularity distinguishing one eternal atom from another

    The school is named from viśeṣa, the ultimate particularity that distinguishes eternal atoms and selves from one another. Samavāya, sāmānya and dravya are also Vaiśeṣika categories, but none gives the school its name.
  9. In Vaiśeṣika atomism (paramāṇuvāda), which is the smallest perceptible composite?

    1. The single partless, eternal atom (paramāṇu)
    2. Ākāśa (ether), the all-pervading substance that is the substratum of sound
    3. The dyad (dvyaṇuka), formed by the combination of two atoms
    4. The triad (tryaṇuka), formed of three dyads
    Show answer

    Answer: D — The triad (tryaṇuka), formed of three dyads

    Atoms and dyads are supersensible; the triad (tryaṇuka, or trasareṇu), built from three dyads, is the smallest thing that can be perceived. Ākāśa is pervasive and not a product of atomic combination.
  10. Which of the following statements about Nyāya-Vaiśeṣika logic and epistemology are correct?

    1. A savyabhicāra reason is a fallacy because it is found also where the thing to be proved is absent
    2. Navya-Nyāya, founded by Gaṅgeśa, replaced ordinary language with a system of logical symbols like modern logic
    3. A viruddha reason is one that, instead of proving the thesis, establishes its contradictory
    4. Nyāya-Vaiśeṣika holds svataḥprāmāṇya, that the validity of knowledge is intrinsic
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    Answer: A — A savyabhicāra reason is a fallacy because it is found also where the thing to be proved is absent; C — A viruddha reason is one that, instead of proving the thesis, establishes its contradictory

    A savyabhicāra (irregular) reason strays to where the sādhya is absent, and a viruddha (contradictory) reason proves the opposite thesis — both genuine hetvābhāsas. Navya-Nyāya built a precise technical vocabulary but used no symbolic notation; and Nyāya-Vaiśeṣika holds parataḥprāmāṇya (extrinsic validity), not svataḥprāmāṇya.
  11. Which pramāṇa does Kumārila Bhaṭṭa accept that the Prābhākara school rejects?

    1. Anupalabdhi (non-apprehension)
    2. Arthāpatti (postulation or presumption)
    3. Upamāna (comparison from likeness to a known thing)
    4. Śabda (reliable verbal testimony, chiefly the Veda)
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    Answer: A — Anupalabdhi (non-apprehension)

    Kumārila accepts six pramāṇas and Prabhākara five; the difference is anupalabdhi, which Prabhākara rejects because he does not admit abhāva (non-existence) as a separate reality. Arthāpatti, upamāna and śabda are accepted by both.
  12. In Mīmāṃsā, what is apūrva?

    1. The beginningless superimposition of the not-self on the self that causes bondage
    2. An unseen potency produced by a sacrifice, which persists and yields the ritual's fruit at a later time
    3. The store-consciousness that carries the seeds of past deeds from one life to the next
    4. The unseen moral force by which the eternal atoms are first set in motion at the beginning of each new world-cycle
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    Answer: B — An unseen potency produced by a sacrifice, which persists and yields the ritual's fruit at a later time

    Apūrva is the unseen potency a ritual act creates, bridging the act now and its fruit (such as heaven) later. Superimposition is Advaita's adhyāsa, the store-consciousness is Yogācāra's ālaya-vijñāna, and the force moving atoms at creation is Vaiśeṣika's adṛṣṭa.
  13. On the Advaita view, the silver falsely seen in a piece of shell is best described as:

    1. Two true cognitions — a perceived 'this' and a remembered silver — that are merely not discriminated
    2. A real silver existing elsewhere, which is apprehended here as the 'this'
    3. Indescribable (anirvacanīya), being neither real, since it is later sublated, nor unreal, since it does appear
    4. A real content, since by the trebling of the elements the shell itself holds a genuinely real portion of the silver-element
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    Answer: C — Indescribable (anirvacanīya), being neither real, since it is later sublated, nor unreal, since it does appear

    Advaita's anirvacanīyakhyāti makes the illusory silver indescribable — neither sat nor asat. Non-discrimination of two cognitions is Prabhākara's akhyāti, the real silver existing elsewhere is Nyāya's anyathākhyāti, and the shell holding a real silver-portion is Rāmānuja's satkhyāti.
  14. In Advaita Vedānta, the world's relation to Brahman is best described as:

    1. Pariṇāma, a real transformation of the cause into the effect, as curd from milk
    2. Ārambha, a new beginning in which the effect did not pre-exist in its cause
    3. A real transformation of Brahman as qualified by its body of cit and acit
    4. Vivarta, an apparent transformation in which Brahman only seems to become the world
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    Answer: D — Vivarta, an apparent transformation in which Brahman only seems to become the world

    Advaita holds vivartavāda: Brahman does not really change; the world is only its apparent appearance through māyā. Pariṇāma (real change) is Sānkhya's, ārambha is Nyāya-Vaiśeṣika's, and a real transformation of Brahman-with-its-body is Rāmānuja's view.
  15. Which of the following statements about the Vedānta schools are correct?

    1. Rāmānuja's Viśiṣṭādvaita affirms a tattva-traya of three reals: Īśvara, cit and acit
    2. Madhva's Dvaita denies that one liberated soul differs in any way from another
    3. Vallabha's Śuddhādvaita treats the world as a real manifestation of Brahman, not as an illusion
    4. In Advaita, mokṣa is loving communion with a personal God, won by devotion and His grace
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    Answer: A — Rāmānuja's Viśiṣṭādvaita affirms a tattva-traya of three reals: Īśvara, cit and acit; C — Vallabha's Śuddhādvaita treats the world as a real manifestation of Brahman, not as an illusion

    Viśiṣṭādvaita's three reals are Īśvara, cit and acit, and Śuddhādvaita holds the world to be a real manifestation of Brahman. Madhva's five eternal differences include soul–soul difference and graded souls, so he does not deny it; and Advaita's mokṣa is the knowledge-born realisation of identity with nirguṇa Brahman, not communion with a personal God.
  16. Which of the following statements about Advaita's account of bondage and knowledge are correct?

    1. Adhyāsa is the beginningless mutual superimposition of the self and the not-self
    2. On the pratibimba (reflection) view, the jīva is Brahman reflected in a limiting adjunct such as the internal organ
    3. Nirguṇa Brahman is itself the creator-God of the empirical world
    4. Advaita denies that śabda (śruti) can reveal Brahman, relying on perception instead
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    Answer: A — Adhyāsa is the beginningless mutual superimposition of the self and the not-self; B — On the pratibimba (reflection) view, the jīva is Brahman reflected in a limiting adjunct such as the internal organ

    Adhyāsa is the beginningless superimposition at the root of bondage, and on the reflection theory the jīva is Brahman mirrored in a limiting adjunct such as the antaḥkaraṇa. The creator-God is saguṇa Īśvara, Brahman seen through māyā, not nirguṇa Brahman; and for Advaita śruti (śabda) is precisely the means that reveals Brahman, since perception and inference reach only the empirical.