Buddhist philosophy refers to the philosophical investigations and systems of inquiry that developed among various Buddhist schools in India following the parinirvana (i.e. death) of the Buddha and later spread throughout Asia.- Buddhist philosophy
The classification and nature of various doctrinal, philosophical or cultural facets of the schools of Buddhism is vague and has been interpreted in many different ways, often due to the sheer number (perhaps thousands) of different sects, subsects, movements, etc. that have made up or currently make up the whole of Buddhist traditions.- Schools of Buddhism
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Nāgārjuna is widely considered to be the founder of the madhyamaka (centrism, middle-way) school of Buddhist philosophy and a defender of the Mahāyāna movement.
At this point in Buddhist history, the Buddhist community was already divided into various Buddhist schools and had spread throughout India.