Nalanda in the context of "History of education in the Indian subcontinent"

In Buddhism, the Four Noble Truths (Sanskrit: चत्वार्यार्यसत्यान, romanized: catvāryāryasatyāni; Pali: cattāri ariyasaccāni; "The Four arya satya") are "the truths of the noble one (the Buddha)," a statement of how things really are when they are seen correctly. The four truths are

• dukkha (not being at ease, 'suffering', from dush-stha, standing unstable). Dukkha is an innate characteristic of transient existence; nothing is forever, this is painful;
• samudaya (origin, arising, combination; 'cause'): together with this transient world and its pain, there is also thirst (desire, longing, craving) for and attachment to this transient, unsatisfactory existence;
• nirodha (cessation, ending, confinement): the attachment to this transient world and its pain can be severed or contained by the confinement or letting go of this craving;
• marga (road, path, way): the Noble Eightfold Path is the path leading to the confinement of this desire and attachment, and the release from dukkha.

The four truths appear in many grammatical forms in the ancient Buddhist texts, and are traditionally identified as the first teaching given by the Buddha. While often called one of the most important teachings in Buddhism, they have both a symbolic and a propositional function. Symbolically, they represent the awakening and liberation of the Buddha, and of the potential for his followers to reach the same liberation and freedom that he did. As propositions, the Four Truths are a conceptual framework that appear in the Pali canon and early Hybrid Sanskrit Buddhist scriptures, as a part of the broader "network of teachings" (the "dhamma matrix"), which have to be taken together. They provide a conceptual framework for introducing and explaining Buddhist thought, which has to be personally understood or "experienced".

The Northern Black Polished Ware culture (abbreviated NBPW or NBP) is an urban Iron Age Indian culture of the Indian subcontinent, lasting c. 700–200 BCE (proto NBPW between 1200 and 700 BCE), succeeding the Painted Grey Ware culture and Black and red ware culture. It developed beginning around 700 BCE, in the late Vedic period, and peaked from c. 500–300 BCE, coinciding with the emergence of 16 great states or Mahajanapadas in Northern India, and the subsequent rise of the Mauryan Empire.

Recent archaeological evidences have pushed back NBPW date to 1200 BCE at Nalanda district, in Bihar, where its earliest occurrences have been recorded and carbon dated from the site of Juafardih. Similarly sites at Akra and Ter Kala Dheri from Bannu have provided carbon dating of 900-790 BCE and 1000-400 BCE, and at Ayodhya around 13th century BC or 1000 BCE.

Patna (Hindi: Paṭanā, pronounced [ˈpəʈnaː] ), historically known as Pāṭaliputra, is the capital and largest city of the Indian state of Bihar. According to the United Nations, as of 2018, Patna had a population of 2.35 million, making it the 19th largest city in India. Covering 250 square kilometres (97 sq mi) and over 2.5 million people, its urban agglomeration is the 18th largest in India. Patna also serves as the seat of Patna High Court. The Buddhist, Hindu and Jain pilgrimage centres of Vaishali, Rajgir, Nalanda, Bodh Gaya and Pawapuri are nearby and Patna City is a sacred city for Sikhs as the tenth Sikh Guru, Guru Gobind Singh was born here. The modern city of Patna is mainly on the southern bank of the river Ganges. The city also straddles the rivers Son, Gandak and Punpun. The city is approximately 35 kilometres (22 mi) in length and 16 to 18 kilometres (9.9 to 11.2 mi) wide.

One of the oldest continuously inhabited places in the world, Patna was founded in 490 BCE by the king of Magadha. Ancient Patna, known as Pataliputra, was the capital of the Magadha Empire throughout the Haryanka, Nanda, Mauryan, Shunga, Gupta, and Pala dynasties. Pataliputra was a seat of learning and fine arts. It was home to many astronomers and scholars including Aryabhata, Vātsyāyana and Chanakya. During the Maurya period (around 300 BCE) its population was about 400,000. Patna served as the seat of power, and political and cultural centre of the Indian subcontinent during the Maurya and Gupta empires. With the fall of the Gupta Empire, Patna lost its glory. The British revived it again in the 17th century as a centre of international trade. Following the partition of Bengal presidency in 1912, Patna became the capital of Bihar and Orissa Province.

Mahayana is the largest branch of Buddhism, followed by Theravada. It is a broad group of Buddhist traditions, texts, philosophies, and practices developed in ancient India (c. 1st century BCE onwards). Mahāyāna accepts the main scriptures and teachings of early Buddhism but also recognizes various doctrines and texts that are not accepted by Theravada Buddhism as original. These include the Mahāyāna sūtras and their emphasis on the bodhisattva path and Prajñāpāramitā. Vajrayana or Mantra traditions are a subset of Mahāyāna which makes use of numerous Tantric methods Vajrayānists consider to help achieve Buddhahood.

Mahāyāna also refers to the path of the bodhisattva striving to become a fully awakened Buddha for the benefit of all sentient beings, and is thus also called the "Bodhisattva Vehicle" (Bodhisattvayāna). Mahāyāna Buddhism generally sees the goal of becoming a Buddha through the bodhisattva path as being available to all and sees the state of the arhat as incomplete. Mahāyāna also includes numerous Buddhas and bodhisattvas that are not found in Theravada (such as Amitābha and Vairocana). Mahāyāna Buddhist philosophy also promotes unique theories, such as the Madhyamaka theory of emptiness (śūnyatā), the Vijñānavāda ("the doctrine of consciousness" also called "mind-only"), and the Buddha-nature teaching.

Buddhism, which originated in India, gradually dwindled in that region starting in the 4th–6th century CE, and was largely ousted by Hinduism approximately by the 12th century, in a centuries-long process. Lack of appeal among the rural masses, who instead embraced religious rituals and beliefs developed during the Hindu synthesis, as well as Turkic invasions and dwindling financial support from trading communities and royal elites, were major factors in the decline of Buddhism in its Indian homeland. Across many centuries, Buddhism largely spread to other regions of Asia.

The total Buddhist population in 2010 in the Indian subcontinent – excluding that of Sri Lanka, Bhutan (both Buddhist majority states), and Nepal – was about 10 million, of which about 92.5% in India, 7.2% lived in Bangladesh and 0.2% in Pakistan.