Note: Read Articles One and Two Here.
Part 4
VII. The Six Vedāṅgas: The Limbs That Preserve the Veda

The Vedāṅgas are the six auxiliary disciplines without which the Veda cannot be properly preserved, understood, recited, or enacted. Śrī Madhusūdana Sarasvatī gives each a brief but precise account of its nature and purpose.
A. Śikṣā — The Science of Phonetics
Śikṣā teaches the correct pronunciation of sounds — the svaras (accents: udātta, anudātta, svarita), the varṇas (consonants and vowels), and the distinctions of short, long, and pluta (prolonged) quantity. The purpose is to ensure that vaidika mantras are pronounced correctly, since an incorrectly pronounced mantra fails to achieve its intended result and can even cause harm. Śrī Madhusūdana Sarasvatī quotes the famous verse about the mispronunciation by Tvaṣṭā which led to the defeat of Vṛtrāsura: 'A mantra that is wrong in svara or in any letter, or wrongly used, does not convey its intended meaning; it is a verbal thunderbolt that destroys the sacrificer, like Indra's enemy because of the mistake in svara.' The universal śikṣā composed by Pāṇini consists of five parts; each branch of the Veda also has its own prātiśākhya (specialized phonetic manual) composed by other sages.
B. Vyākaraṇa — Grammar
Vyākaraṇa teaches the correctness (sādhutva) of vaidika words and enables the practitioner to understand and use the language of the Veda appropriately. The authoritative grammar is that of Pāṇini — the Aṣṭādhyāyī, composed of eight chapters and innumerable sūtras — composed with the grace of Maheśvara. On Pāṇini's sūtras, Kātyāyana composed the vārttikas (critical notes), and on those, Patañjali composed the Mahābhāṣya (the great commentary). These three — Pāṇini, Kātyāyana, and Patañjali — together constitute what is known as Māheśvara vyākaraṇa (grammar related to Maheśvara/Śiva), the Vedāṅga par excellence. Other grammars (such as the Kaumāra grammar) are noted to serve only worldly (laukika) purposes and are not Vedāṅgas proper.
C. Nirukta — Etymology and Lexicology
Once pronunciation and grammatical correctness are secured, the next need is to understand the meanings of difficult vaidika words. Nirukta serves this purpose. Composed by Yāska in thirteen chapters, it classifies words into four types — nouns (nāman), verbs (ākhyāta), indeclinables (nipāta), and prefixes (upasarga) — and explains the derivations of vaidika terms. Śrī Madhusūdana Sarasvatī points out that without Nirukta, many obscure vaidika passages — such as 'sṛṇyeva jarbharī turpharī tū' — would remain incomprehensible. The Nighaṇṭu (a lexicon of vaidika synonyms for materials, deities, and cosmological terms) is included within Nirukta, and its five-chapter Niganṭu section was also composed by Yāska himself.
D. Chandas — Prosody
The Ṛgvaidika mantras are in specific metres, and knowledge of metre is required for their proper recitation and ritual application. Chandas teaches the seven principal vaidika metres — Gāyatrī, Uṣṇih, Anuṣṭub, Bṛhatī, Paṅkti, Triṣṭub, and Jagatī — along with their sub-varieties. The standard treatise is the Chandovivṛti of Piṅgala, with eight chapters. The first three chapters deal with vaidika metres (arranged under 'alaukikam') and the remaining five with laukika (worldly or literary) metres useful in Purāṇa, Itihāsa, and kāvya.
E. Jyotiṣa — Astronomy and the Science of Time
Vaidika rites must be performed at prescribed times — new-moon, full-moon, specific nakṣatras, solstices. Jyotiṣa teaches the astronomy and time-calculation necessary to determine these auspicious moments. The text attributes this Vedāṅga to Āditya (the Sun) and sages such as Garga and others, and notes that it exists in many varieties. Without the correct knowledge of time, even a perfectly pronounced and correctly understood vaidika rite could be performed at the wrong moment, undermining its efficacy.
F. Kalpa — Ritual Procedural Manuals
Kalpa is the most immediately practical of the Vedāṅgas. It translates the injunctions of the vaidika brāhmaṇas into step-by-step procedural instructions, combining material from different branches (śākhās) of the Veda. The Kalpasūtras are of three kinds based on the three ritual roles: those for the hotā (Ṛgvedin, such as the Āśvalāyana and Śāṅkhāyana Gṛhyasūtras and Śrautasūtras), those for the adhvaryu (Yajurvedin, such as the Bodhāyana, Āpastamba, and Kātyāyana sūtras), and those for the udgātā (Sāmavedin, such as the Lāṭyāyana and Drāhyāyaṇa sūtras). Kalpa thus serves as the bridge between the vaidika text and actual ritual practice.
Part 5
VIII. The Four Upāṅgas: Narrative, Logic, Inquiry, and Normativity
A. Purāṇa — Cosmic Memory and Civilizational Narrative
The Purāṇas, composed primarily by Bādarāyaṇa (Vyāsa), deal with five characteristic topics: primary creation (sarga), secondary creation (pratisarga), royal lineages (vaṃśa), the epochs of the Manus (manvantara), and the histories of the dynasties (vaṃśānucarita). The eighteen Mahāpurāṇas are listed: Brāhma, Pādma, Vaiṣṇava, Śaiva, Bhāgavata, Nāradīya, Mārkaṇḍeya, Āgneya, Bhaviṣya, Brahmavaivarta, Liṅga, Vārāha, Skānda, Vāmana, Kaurma, Mātsya, Gāruḍa, and Brahmāṇḍa. A long list of Upapurāṇas is also cited, including the Sanatkumāra Purāṇa, Nārasiṃha Purāṇa, Nanda Purāṇa, Śivadharma, Daurvāsa, Nāradīya, Kāpila, Mānava, Brahmāṇḍa Saṃjña, Vāruṇa, Kālī, Vāsiṣṭha-Liṅga, Sāmba, Saura, Pārāśara, Mārīca, and Bhārgava Purāṇas.
The Purāṇas serve the crucial cultural function of making dharma imaginatively available. They are not merely encyclopaedic; they are pedagogically and emotionally alive. Stories of gods, heroes, dynasties, and cosmic cycles make the abstract norms of dharma concrete, memorable, and motivating.
B. Nyāya — Formal Logic and Inquiry
The Nyāya tradition — the Ānvīkṣikī (the science of examination) — was systematized by Gautama in the Nyāyasūtras, consisting of five chapters. Its purpose is to establish the truth about objects of knowledge through the rigorous application of sixteen categories: pramāṇa (means of valid knowledge), prameya (object of valid knowledge), saṃśaya (doubt), prayojana (purpose), dṛṣṭānta (example), siddhānta (established conclusion), avayava (component part of syllogism), tarka (indirect argument), nirṇaya (decisive knowledge), vāda (argument for truth), jalpa (argument for victory), vitaṇḍā (destructive argument), hetvābhāsa (fallacious reason), chala (dialectic quibbling), jāti (specious objections), and nigrahasthāna (the vulnerable point in debate).
Vaiśeṣika, subsumed under Nyāya in this scheme, was composed by Kaṇāda in ten chapters. Its purpose is the systematic analysis of the six (or seven) categories of reality — dravya (substance), guṇa (quality), karma (action), sāmānya (generality), viśeṣa (particularity), samavāya (inherence), and abhāva (absence/non-existence). Together, Nyāya and Vaiśeṣika supply the epistemological and ontological tools that the knowledge landscape requires for rigorous inquiry.
C. Mīmāṃsā: Karma-mīmāṃsā and Śārīraka-mīmāṃsā
Mīmāṃsā is declared twofold. Karma-mīmāṃsā (also called Pūrva Mīmāṃsā) is the hermeneutics of vaidika ritual action; Śārīraka-mīmāṃsā (also called Uttara Mīmāṃsā or Vedānta) is the hermeneutics of brahman-knowledge. This pairing reflects a vision of the vaidika knowledge system as a coherent progression from dharma to brahman, from action-oriented inquiry to knowledge-oriented inquiry.
Karma-mīmāṃsā: The Mīmāṃsā of Jaimini consists of twelve chapters. Its range of topics includes the nature of dharma and its means of knowledge, the different types of vaidika injunctions and their subsidiary structures, the question of priority among śruti (direct statement), liṅga (indicatory mark), vākya (sentence), and other hermeneutical means, the classification of rites, the question of adhikāra (eligibility), sāmānya and viśeṣa atideśa (general and specific extension of rules), ūha (the adaptation of formulas), bādha (preclusion of one rite by another), tantra (the performance of an act once serving multiple purposes), and prasaṅga (the incidental connection of rites). Śrī Madhusūdana Sarasvatī also mentions the Saṃkarṣaṇakāṇḍa — four additional chapters attributed to Jaimini — dealing with the Devatākāṇḍa (the section on deities and upāsanā), which is classified as belonging to Karma-mīmāṃsā since it treats upāsanā as a form of karma.
Śārīraka-mīmāṃsā: The Brahmasūtra of Bādarāyaṇa, consisting of four chapters, begins with athāto brahmajijñāsā ('Now, therefore, the inquiry into brahman') and ends with anāvṛttiḥ śabdāt ('No return, by the declaration of the śruti'). It is the means for the realization of the identity of jīva and brahman through the inquiry process of śravaṇa (hearing the mahāvākyas), manana (reflection), and nididhyāsana (contemplative absorption). Śrī Madhusūdana Sarasvatī provides a detailed chapter-by-chapter summary of the Brahmasūtra that is a model of synthetic thinking. The first chapter (Samanvaya) establishes that all Vedāntika statements have their ultimate purport in the non-dual brahman. The second chapter (Avirodha) answers objections from Sāṅkhya, Yoga, Vaiśeṣika, Buddhist, Jain, and other schools. The third chapter (Sādhana) describes the means — dispassion, śravaṇa, manana, nididhyāsana, and the path to liberation. The fourth chapter (Phala) determines the results — the difference between the fruits of saguṇa-upāsanā (meditation on qualified brahman) and nirguṇa-brahma-jñāna (knowledge of the unqualified brahman), and concludes that the knower of nirguṇa brahman attains videha-kaivalya, while the saguṇa-brahma meditator attains brahmaloka.
Śrī Madhusūdana Sarasvatī's own summation of the Brahmasūtra's significance within the knowledge landscape is striking: 'This is the summit of all śāstras. This alone, as stated by Śrī Śaṅkara Bhagavatpāda, is to be adopted by all seekers of liberation, since all other śāstras are subservient to it.' This is the Advaitic claim at the heart of the Prasthānabheda: the diversity of śāstras is real, purposeful, and to be respected; but it terminates — hierarchically — in the recognition of brahman through the Upaniṣads and the Brahmasūtra.
D. Dharmaśāstra: Social Order and Ethical Normativity
Dharmaśāstra includes the duties and arrangements of the four varṇas (social orders) and four āśramas (life-stages), as well as the legal and ethical dimensions of human social life. The text lists many composers: Manu, Yājñavalkya, Viṣṇu, Yama, Aṅgiras, Vasiṣṭha, Dakṣa, Saṃvarta, Śātātapa, Parāśara, Gautama, Śaṅkha, Likhita, Hārīta, Āpastamba, Uśana, Vyāsa, Kātyāyana, Bṛhaspati, Devala, Nārada, Paiṭhīnasi, and many others. The great Itihāsas — the Mahābhārata and the Rāmāyaṇa — are also classified here as dharmaśāstra in the form of itihāsa, since they embody dharma in narrative form and are known by tradition to have this function.
