This article records tradition as it has been passed down and reported. Its sources are not yet part of the atlas's verified catalogue.
Badarayana's name is usually invoked only to make one point, that he founded the school Shankara later systematized, and then the discussion moves on to the more famous men who wrote commentaries on his work. But the text itself, the Brahma Sutras, has a structure that repays attention in its own right, because that structure is an argument, not just a container for one.
The received text runs to five hundred fifty five sutras, organized into four chapters called adhyayas, each of which divides into four sections called padas, for sixteen sections total, each of which further breaks down into topic units called adhikaranas, commonly counted at somewhere near two hundred, though editions and commentators do not agree on the exact tally. Each adhikarana is a self-contained argument, a unit built around a stated topic, a doubt about how the relevant Upanishadic passages should be read, a prima facie position that a hasty reading would support, and a considered conclusion that the sutra actually defends, generally by showing that the disputed texts, read together rather than piecemeal, converge on a single teaching about Brahman. The method matters as much as the doctrine because it is inherited. Badarayana is working in the interpretive idiom of Purva Mimamsa, the older tradition of textual analysis built around the ritual portions of the Veda, and the parallel is not incidental. The Brahma Sutras is thought to be one of the few surviving examples of a small class of similar compendia that attempted to organize the Vedanta portions of the Upanishads the way Mimamsa had already organized the ritual portions, sutra by terse sutra, each one meant to be unpacked by a teacher rather than read in isolation.
The four chapters carry out that unpacking in a deliberate sequence. The first, Samanvaya, harmonization, works through Upanishadic passages that describe or allude to Brahman and argues that despite their surface variety they refer to one and the same reality, explicitly ruling out the Samkhya position that an unconscious primal matter, pradhana, could be the world's ultimate cause. The second, Avirodha, non-conflict, turns outward, meeting and answering objections from the other schools of the day, Samkhya, Yoga, Nyaya, Vaisheshika, the Mimamsa tradition it otherwise leans on, along with Buddhist and Jaina positions, and defends the internal consistency of the Vedanta reading against all of them. The third and longest chapter, Sadhana, the means, turns to practice, addressing meditation, the discipline required of a seeker, and the relationship between the individual self and Brahman that meditation is meant to realize. The fourth and shortest, Phala, the fruit, describes the state of the one who has realized that relationship and attained release. Read in order, the four chapters move from establishing what is true, through defending it, to how to realize it, to what realizing it yields, which is itself a philosophical claim about the relationship between metaphysics and practice that a list of doctrines would not convey.
One further question about Badarayana himself deserves stating honestly rather than settled. Tradition identifies him with Vyasa, the arranger of the Vedas and putative author of the Mahabharata, and holds that he was Jaimini's teacher, which would make the Brahma Sutras a deliberate sequel to Jaimini's Mimamsa Sutras, the two texts quoting each other on disputed points as Badarayana emphasizes knowledge and Jaimini emphasizes ritual. Current scholarship notes textual evidence of composition or compilation by more than one hand before the text reached the form that survives, dated by different scholars anywhere from around 200 BCE to the fifth century CE. Nothing in that uncertainty threatens the coherence of the text that resulted. It only means the name on the Brahma Sutras, like the name on many foundational texts of the tradition, may describe a lineage of teaching more than a single biography.