What is reincarnation and how does it relate to each of the two religions?
Hinduism and Buddhism

(1) Hinduism believes in re-incarnation; Buddhism believes in re-birth. (2) Re-incarnation is akin to transmigration of souls; Rebirth is not akin to transmigration of soul. (3) Re-incarnation is based on permanence, eternality, and in-destructiveness of soul; Buddhism does not believe in any such property of soul.

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one central belief of buddhism is often referred to as reincarnation -- the concept that people are reborn after dying. buddhism is a philosophy of life expounded by gautama buddha ("buddha" means "enlightened one"), who lived and taught in northern india in the 6th century b.c.