Śaṅkara is the classical systematizer of Advaita ("non-dual") Vedānta, writing extensive commentaries (bhāṣyas) on the Brahma Sūtras, the principal Upaniṣads, and the Bhagavad Gītā. He argued that brahman - impersonal, attributeless, non-dual reality - is alone ultimately real, that the phenomenal world of plurality and change is a beginningless but not ultimately real appearance (māyā), and that the individual self (ātman) is not merely similar to but strictly non-different from brahman, a claim he grounded in the Upaniṣadic "great sayings" (mahāvākyas) such as "tat tvam asi" ("that thou art").
Intellectual setting
Śaṅkara worked in early medieval India, contending against rival interpretations of Vedānta such as Bhedābheda ("difference-and-non-difference"), against Sāṃkhya-Yoga dualism, and against Buddhist schools (Madhyamaka and Yogācāra) whose critiques of a permanent self his non-dualism had to answer. Traditional hagiographies, most notably Mādhava's later "Śaṅkara-Digvijaya," credit him with travelling and debating across the subcontinent and founding monastic institutions (maṭhas) at Śṛṅgeri, Dvārakā, Purī, and Jyotirmaṭh that helped institutionalize the Advaita tradition after his death.
Key ideas
Non-duality (advaita) of ātman and brahman
Śaṅkara taught that the innermost self (ātman) is identical to the impersonal, attributeless brahman, and that liberation (mokṣa) consists in directly recognizing this identity through knowledge (jñāna) rather than through ritual action or devotion alone.
Two standpoints and the doctrine of superimposition (adhyāsa)
He distinguished a conventional standpoint (vyavahāra), from which the world of difference, agency, and ritual duty operates as practically valid, from an ultimate standpoint (paramārtha) from which such difference is a superimposition (adhyāsa) of attributes onto the single reality of brahman - explaining the world's apparent plurality without granting it final reality.
Legacy
Advaita Vedānta became one of the most influential schools of classical Indian philosophy, shaping centuries of subsequent Vedāntic debate (including the rival theistic Vedānta of Rāmānuja and Madhva) and decisively influencing modern Hindu thought and neo-Vedānta, including nineteenth- and twentieth-century figures such as Vivekananda and Sarvepalli Radhakrishnan who presented it to a global audience. The historical extent of Śaṅkara's authentic corpus, and the relationship between the legendary and historical Śaṅkara, remain subjects of ongoing scholarly research.
Scholarly notes
Dates and the attributed corpus · contested
Several different dates are ascribed to Śaṅkara. Early scholarship placed him at 788–820 CE, Nakamura argues for 700–750, and other reconstructions differ again. Hundreds of texts carry his name, but the authorship of most is questionable and they were likely composed later by monastic heads holding the Śaṅkarācārya title.