Are Jainism and Buddhism and indigenous religions?

Yes, they are considered indigenous.

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According to this site, Jainism and Buddhism are Indian religions; they are not classified as indigenous religions.

http://en.wikipedia.org/wiki/List_of_religions#Indigenous_religions

Jainism and Buddhism are not considered indigenous religions in the traditional sense.

Indigenous religions typically refer to the religious practices of indigenous or native peoples who have lived in a particular region or territory for many generations. These religions often have their own unique beliefs, rituals, and practices closely tied to their cultural and historical context.

Jainism and Buddhism, on the other hand, originated in the Indian subcontinent around the 6th century BCE and are considered separate religions from the indigenous religions of India. Although they emerged within the cultural and religious context of ancient India, both Jainism and Buddhism developed as distinct religious traditions and eventually spread beyond their place of origin.

Jainism, founded by Mahavira, emphasizes non-violence, truth, and non-attachment. Buddhism, founded by Siddhartha Gautama (also known as Buddha), focuses on the pursuit of enlightenment and the cessation of suffering.

Both Jainism and Buddhism have had a significant impact on Indian and world religions, influencing the philosophical and spiritual traditions that followed. Although they are not indigenous religions, they have become established religious traditions with their own followers and unique perspectives on spirituality.